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Longer titles found: Discretization error (view), Discretization of Navier–Stokes equations (view), Discretization of continuous features (view), Temporal discretization (view)

searching for Discretization 277 found (409 total)

alternate case: discretization

Finite difference (5,863 words) [view diff] exact match in snippet view article find links to article

This is often a problem because it amounts to changing the interval of discretization. The problem may be remedied substituting the average of δ n [ f ]

Gradient discretisation method (2,302 words) [view diff] exact match in snippet view article find links to article

elements in (2). More precisely, the GDM starts by defining a Gradient Discretization (GD), which is a triplet D = ( X D , 0 , Π D , ∇ D ) {\displaystyle

Diffusion equation (1,254 words) [view diff] exact match in snippet view article find links to article

anisotropic tensor diffusion equation, in standard discretization schemes, because direct discretization of the diffusion equation with only first order

Euler–Maruyama method (1,596 words) [view diff] no match in snippet view article find links to article

In Itô calculus, the Euler–Maruyama method (also simply called the Euler method) is a method for the approximate numerical solution of a stochastic differential

Redshift quantization (2,565 words) [view diff] exact match in snippet view article find links to article

Redshift quantization, also referred to as redshift periodicity, redshift discretization, preferred redshifts and redshift-magnitude bands, is the hypothesis

Domain decomposition methods (891 words) [view diff] exact match in snippet view article find links to article

methods. Mortar methods are discretization methods for partial differential equations, which use separate discretization on nonoverlapping subdomains

MacCormack method (740 words) [view diff] exact match in snippet view article find links to article

dynamics, the MacCormack method (/məˈkɔːrmæk ˈmɛθəd/) is a widely used discretization scheme for the numerical solution of hyperbolic partial differential

Proper generalized decomposition (1,469 words) [view diff] exact match in snippet view article find links to article

method characterized by a variational formulation of the problem, a discretization of the domain in the style of the finite element method, the assumption

Validated numerics (1,341 words) [view diff] exact match in snippet view article find links to article

including mathematically strict error (rounding error, truncation error, discretization error) evaluation, and it is one field of numerical analysis. For computation

Lattice model (physics) (1,478 words) [view diff] exact match in snippet view article

also ideal for study by the methods of computational physics, as the discretization of any continuum model automatically turns it into a lattice model.

Discontinuous Galerkin method (4,100 words) [view diff] exact match in snippet view article find links to article

index h {\displaystyle h} should show the relation to an underlying discretization given by ( x k ) k {\displaystyle \left(x_{k}\right)_{k}} . Note here

Analytic element method (1,291 words) [view diff] exact match in snippet view article find links to article

to the boundary element method (BEM), as it does not rely upon the discretization of volumes or areas in the modeled system; only internal and external

Singular boundary method (1,161 words) [view diff] exact match in snippet view article find links to article

boundary discretization methods, among which are: meshless. The method requires neither domain nor boundary meshing but boundary-only discretization points;

Fermion doubling (3,446 words) [view diff] exact match in snippet view article find links to article

{\displaystyle {\bar {\psi }}_{n}} . The derivative discretization used is the symmetric derivative discretization, with the vectors μ ^ {\displaystyle {\hat {\mu

Poincaré–Steklov operator (758 words) [view diff] exact match in snippet view article find links to article

discretized, for example by finite elements or finite differences, the discretization of the Poincaré–Steklov operator is the Schur complement obtained by

Epps effect (133 words) [view diff] exact match in snippet view article find links to article

The phenomenon is caused by non-synchronous/asynchronous trading and discretization effects. Another study suggests that the effect also originates in investors'

Types of mesh (1,820 words) [view diff] exact match in snippet view article find links to article

computational cost. Accuracy depends on both discretization error and solution error. For discretization error, a given mesh is a discrete approximation

Ladyzhenskaya–Babuška–Brezzi condition (1,382 words) [view diff] exact match in snippet view article find links to article

Saddle point problems arise in the discretization of Stokes flow and in the mixed finite element discretization of Poisson's equation. For positive-definite

RMG (program) (336 words) [view diff] exact match in snippet view article

convergence. Mehrstellen discretization, which is shorter ranged than the commonly used than central difference discretization, is used to represent the

Method of fundamental solutions (1,175 words) [view diff] exact match in snippet view article find links to article

equation. Consequently, both the MFS and the BEM are of a boundary discretization numerical technique and reduce the computational complexity by one dimensionality

Trajectory optimization (3,522 words) [view diff] exact match in snippet view article find links to article

a parameter optimization problem. This is sometimes referred to as discretization. Transcription methods generally fall into two categories: shooting

Signal (3,517 words) [view diff] no match in snippet view article find links to article

A signal is both the process and the result of transmission of data over some media accomplished by embedding some variation. Signals are important in

Computational electromagnetics (4,764 words) [view diff] exact match in snippet view article find links to article

("cells"), and solve Maxwell's equations simultaneously across all cells. Discretization consumes computer memory, and solving the relevant equations takes significant

Stochastic Eulerian Lagrangian method (1,046 words) [view diff] exact match in snippet view article find links to article

SPDEs to obtain numerical methods taking into account the numerical discretization artifacts to maintain statistical principles, such as fluctuation-dissipation

Nyström method (363 words) [view diff] no match in snippet view article find links to article

In mathematics numerical analysis, the Nyström method or quadrature method seeks the numerical solution of an integral equation by replacing the integral

Smoothed-particle hydrodynamics (9,785 words) [view diff] exact match in snippet view article find links to article

time. The weakly compressible SPH in fluid dynamics is based on the discretization of the Navier–Stokes equations or Euler equations for compressible fluids

P-FEM (482 words) [view diff] exact match in snippet view article find links to article

numerical method for solving partial differential equations. It is a discretization strategy in which the finite element mesh is fixed and the polynomial

Digital manifold (196 words) [view diff] exact match in snippet view article find links to article

cell space. A combinatorial manifold is a kind of manifold which is a discretization of a manifold. It usually means a piecewise linear manifold made by

Coolfluid (197 words) [view diff] exact match in snippet view article find links to article

Simulation Environment where multiple physical models and multiple discretization methods are implemented as components within the environment. These

Boundary particle method (763 words) [view diff] exact match in snippet view article find links to article

nonhomogeneous partial differential equations in conjunction with the boundary discretization techniques, such as boundary element method (BEM). For instance, the

Discrete Laplace operator (5,716 words) [view diff] exact match in snippet view article find links to article

{\displaystyle A_{i}} . Then L = M − 1 C {\displaystyle L=M^{-1}C} is the sought discretization of the Laplacian. A more general overview of mesh operators is given

Musical note (3,158 words) [view diff] exact match in snippet view article find links to article

act as the most basic building blocks for nearly all of music. This discretization facilitates performance, comprehension, and analysis. Notes may be visually

Beam propagation method (985 words) [view diff] exact match in snippet view article find links to article

the two steps (rational approximation to the square root operator and discretization of z) into one step. Namely, one can find rational approximations to

Interval boundary element method (879 words) [view diff] exact match in snippet view article find links to article

2006. B.F. Zalewski and R.L. Mullen, "Interval Bounds on the Local Discretization Error in Boundary Element Analysis for Domains with Singular Flux",

Discrete exterior calculus (663 words) [view diff] exact match in snippet view article find links to article

S2CID 235613614. Ptackova, Lenka; Velho, Luiz (2017). "A Primal-to-Primal Discretization of Exterior Calculus on Polygonal Meshes". Symposium on Geometry Processing

Immersed boundary method (1,755 words) [view diff] exact match in snippet view article find links to article

} where Ω {\displaystyle \Omega } denotes the entire fluid domain. Discretization of these equations can be done by assuming an Eulerian grid on the fluid

Lattice Boltzmann methods for solids (619 words) [view diff] exact match in snippet view article find links to article

differential equations (PDE) in solid mechanics. The methods use a discretization of the Boltzmann equation(BM), and their use is known as the lattice

Scale space implementation (3,290 words) [view diff] exact match in snippet view article find links to article

scale-space theory, and for a complementary treatment regarding hybrid discretization methods. The Gaussian scale-space representation of an N-dimensional

John Strain (mathematician) (279 words) [view diff] exact match in snippet view article

dendritic solidification. Notable publications include Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems, Locally

Volume of fluid method (2,567 words) [view diff] exact match in snippet view article find links to article

Leonard. Line techniques circumvent the problems associated with the discretization of the transport equation by not tracking the interface in a cell explicitly

Biology Monte Carlo method (5,068 words) [view diff] exact match in snippet view article find links to article

counts for the particlemesh component of the P3M scheme. However, this discretization leads to an unavoidable truncation of the short-range component of electrostatic

CFD in buildings (3,299 words) [view diff] exact match in snippet view article find links to article

of a building. CFD technique finds the solution by following ways: Discretization of the governing differential equation using numerical methods (Finite

Fast sweeping method (292 words) [view diff] exact match in snippet view article find links to article

sweeping method is an iterative method which uses upwind difference for discretization and uses Gauss–Seidel iterations with alternating sweeping ordering

Graphical models for protein structure (1,423 words) [view diff] exact match in snippet view article find links to article

all continuous values and, to transform them into discrete values, a discretization process is typically applied. The second approach uses continuous variables

Mean square quantization error (319 words) [view diff] exact match in snippet view article find links to article

signal is the difference between the original continuous value and its discretization, and the mean square quantization error (given some probability distribution

Stochastic programming (6,069 words) [view diff] no match in snippet view article find links to article

In the field of mathematical optimization, stochastic programming is a framework for modeling optimization problems that involve uncertainty. A stochastic

Discrete ordinates method (678 words) [view diff] no match in snippet view article find links to article

In the theory of radiative transfer, of either thermal or neutron radiation, a position and direction-dependent intensity function is usually sought for

Partial element equivalent circuit (1,204 words) [view diff] no match in snippet view article find links to article

Partial element equivalent circuit method (PEEC) is partial inductance calculation used for interconnect problems from early 1970s which is used for numerical

Dexel (474 words) [view diff] exact match in snippet view article find links to article

scale is very different from the structural finite element 3D model discretization step (e.g. in machining the depth of cut variation is often several

Coarse space (numerical analysis) (829 words) [view diff] exact match in snippet view article

differential equations, the coarse problem is typically obtained as a discretization of the same equation on a coarser grid (usually, in finite difference

Aerodynamic potential-flow code (1,541 words) [view diff] no match in snippet view article find links to article

In fluid dynamics, aerodynamic potential flow codes or panel codes are used to determine the fluid velocity, and subsequently the pressure distribution

MFEM (407 words) [view diff] exact match in snippet view article find links to article

MPI-based parallelism and GPU acceleration. Wide variety of finite element discretization approaches, including Galerkin, discontinuous Galerkin, mixed, high-order

Material point method (3,504 words) [view diff] exact match in snippet view article find links to article

and any other continuum material. Especially, it is a robust spatial discretization method for simulating multi-phase (solid-fluid-gas) interactions. In

Hydrus (software) (2,955 words) [view diff] exact match in snippet view article

by an interactive graphics-based interface for data-preprocessing, discretization of the soil profile, and graphic presentation of the results. While

MFEM (407 words) [view diff] exact match in snippet view article find links to article

MPI-based parallelism and GPU acceleration. Wide variety of finite element discretization approaches, including Galerkin, discontinuous Galerkin, mixed, high-order

Inverse problem (9,396 words) [view diff] exact match in snippet view article find links to article

discrete version of the solution we were looking for. For example, a naïve discretization will often work for solving the deconvolution problem: it will work

Poisson's equation (2,371 words) [view diff] exact match in snippet view article find links to article

the problem of surface reconstruction, it is necessary to find a good discretization of the vector field V. The basic approach is to bound the data with

Dirichlet process (4,861 words) [view diff] exact match in snippet view article find links to article

almost surely discrete. The scaling parameter specifies how strong this discretization is: in the limit of α → 0 {\displaystyle \alpha \rightarrow 0} , the

Flux limiter (2,542 words) [view diff] exact match in snippet view article find links to article

oscillations (wiggles) that would otherwise occur with high order spatial discretization schemes due to shocks, discontinuities or sharp changes in the solution

Robertson–Webb query model (2,139 words) [view diff] exact match in snippet view article find links to article

agents simultaneously send discretizations of their preferences. A discretization is a sequence of cut-points, and the values of pieces between these

Runoff model (reservoir) (1,661 words) [view diff] exact match in snippet view article

fully object-oriented code provides complete flexibility in spatial discretization, interpolation, process representation, and forcing function generation

Stokes approximation and artificial time (448 words) [view diff] exact match in snippet view article find links to article

This article provides an error analysis of time discretization applied to spatially discrete approximation of the stationary and nonstationary Navier-Stokes

Discrete global grid (3,199 words) [view diff] exact match in snippet view article find links to article

distinct identifier and represents a fixed-scale region of the space. The discretization of the Latitude/Longitude system is the most popular, and the standard

Tridiagonal matrix (2,707 words) [view diff] exact match in snippet view article find links to article

length n − 1 containing the subdiagonal and superdiagonal elements. The discretization in space of the one-dimensional diffusion or heat equation ∂ u ( t

Wilson (700 words) [view diff] exact match in snippet view article find links to article

thyroid deficiency in alternative medicine circles Wilson action, lattice discretization of gauge fields Wilson loop, loop operator in quantum field theory Wilson

Biomechanics (3,902 words) [view diff] exact match in snippet view article find links to article

ethical restrictions. This has led finite element modeling (or other discretization techniques) to the point of becoming ubiquitous in several fields of

Tridiagonal matrix algorithm (4,086 words) [view diff] exact match in snippet view article find links to article

produces the solution. Examples of such matrices commonly arise from the discretization of 1D Poisson equation and natural cubic spline interpolation. Thomas'

Soil moisture velocity equation (3,067 words) [view diff] exact match in snippet view article find links to article

of representative elementary volume by use of a fine water-content discretization and solution method. This equation was converted into a set of three

National Atmospheric Release Advisory Center (546 words) [view diff] exact match in snippet view article find links to article

a procedure based on the variational principle and a finite-element discretization. The dispersion model, LODI, solves the 3-D advection-diffusion equation

Annalisa Buffa (838 words) [view diff] exact match in snippet view article find links to article

PDEs and numerical analysis: "isogeometric analysis, fully compatible discretization of PDEs, linear and non linear elasticity, contact mechanics, integral

Meshfree methods (4,421 words) [view diff] exact match in snippet view article find links to article

Oliveira, Rodrigo (April 2015). "Coulomb's Law Discretization Method: a New Methodology of Spatial Discretization for the Radial Point Interpolation Method"

MUSCL scheme (4,486 words) [view diff] exact match in snippet view article find links to article

unity when r = 1 {\displaystyle r=1} . Thus, the accuracy of a TVD discretization degrades to first order at local extrema, but tends to second order

Hans Jörg Stetter (459 words) [view diff] exact match in snippet view article find links to article

principle and discretization methods, Numerische Mathematik, vol. 29, 1978, 425–433 doi:10.1007/BF01432879 Analysis of Discretization Methods in Ordinary

Digital topology (939 words) [view diff] exact match in snippet view article find links to article

manifolds. A combinatorial manifold is a kind of manifold which is a discretization of a manifold. It usually means a piecewise linear manifold made by

Gaussian blur (2,373 words) [view diff] exact match in snippet view article find links to article

two-dimensional kernel in a single pass, but requires fewer calculations. Discretization is typically achieved by sampling the Gaussian filter kernel at discrete

ECHAM (613 words) [view diff] exact match in snippet view article find links to article

processes, and through the choice of a slightly different vertical discretization within the troposphere, as well as changed model parameters. "MPI: ECHAM

Spatial heterogeneity (1,282 words) [view diff] exact match in snippet view article find links to article

spatial heterogeneity with the optimized parameters of spatial data discretization for identifying geographical factors and interactive impacts of factors

Grid (628 words) [view diff] exact match in snippet view article find links to article

system relative to a particular map projection Grid (spatial index), a discretization of a geometric domain into a set of contiguous cells, used to organize

Finite water-content vadose zone flow method (1,942 words) [view diff] exact match in snippet view article find links to article

{\partial z}{\partial t}}\,d\theta } Instead, a finite water-content discretization is used and the integrals are replaced with summations: ∑ j = 1 N [

Richards equation (1,894 words) [view diff] exact match in snippet view article find links to article

dimensional simulations of rainfall infiltration into dry soils, fine spatial discretization less than one cm is required near the land surface, which is due to

Numerical certification (1,905 words) [view diff] exact match in snippet view article find links to article

input data and candidate solutions, numerical errors or errors in the discretization of the problem may result in corrupted candidate solutions. The goal

Twisting properties (1,304 words) [view diff] exact match in snippet view article find links to article

s'+\ell } where ℓ > 0 {\displaystyle \ell >0} is the size of the s discretization grain, idem with the opposite monotony trend. Resuming these relations

HEALPix (1,011 words) [view diff] exact match in snippet view article find links to article

; Bartelmann, M. (2005). "HEALPix: A Framework for High-Resolution Discretization and Fast Analysis of Data Distributed on the Sphere". Astrophysical

Bram van Leer (4,148 words) [view diff] exact match in snippet view article find links to article

had to be made to the original discretization. It turned out that applying the preconditioning to an Euler discretization required a reformulation of the

Method of lines (700 words) [view diff] exact match in snippet view article find links to article

problems by a semi-analytical method of lines. In this method, the discretization process results in a set of ODE's that are solved by exploiting properties

Hexagonal sampling (2,013 words) [view diff] exact match in snippet view article find links to article

systems can be used to process the signals. It is during this process of discretization where sampling comes into picture. Although there are many ways of obtaining

Finite point method (2,653 words) [view diff] exact match in snippet view article find links to article

characterized by WLSQ approximations on local clouds of points and an equations discretization procedure based on point collocation (in the line of Batina’s works

Radiosity (computer graphics) (2,668 words) [view diff] exact match in snippet view article

changes in visibility (e.g. hard-edged shadows) because coarse, regular discretization into piecewise constant elements corresponds to a low-pass box filter

Kansa method (1,964 words) [view diff] exact match in snippet view article find links to article

general solution of governing equation. Consequently, only boundary discretization is required. Since the RBF in the Kansa method does not necessarily

Solid mechanics (1,308 words) [view diff] exact match in snippet view article find links to article

design of continuous frames. 1941: Alexander Hrennikoff solved the discretization of plane elasticity problems using a lattice framework 1942: R. Courant

Spectral element method (1,339 words) [view diff] exact match in snippet view article find links to article

C_{s}N^{-s}\|u\|_{H^{s+1}(\Omega )}} where N {\displaystyle N} is related to the discretization of the domain (ie. element length), C s {\displaystyle C_{s}} is independent

Franco Brezzi (712 words) [view diff] exact match in snippet view article find links to article

mixed finite element problems with saddle point structure, such as the discretization of the incompressible Navier-Stokes equations or the treatment of Darcy's

Besov measure (858 words) [view diff] exact match in snippet view article find links to article

S2CID 88518742. Lassas, Matti; Saksman, Eero; Siltanen, Samuli (2009). "Discretization-invariant Bayesian inversion and Besov space priors". Inverse Problems

Hodge–Arakelov theory (340 words) [view diff] exact match in snippet view article find links to article

Shinichi (1999), The Hodge-Arakelov theory of elliptic curves: global discretization of local Hodge theories (PDF), Preprint No. 1255/1256, Res. Inst. Math

Neural operators (2,039 words) [view diff] exact match in snippet view article find links to article

receive input functions, and the output function can be evaluated at any discretization. The primary application of neural operators is in learning surrogate

Biclustering (3,159 words) [view diff] exact match in snippet view article find links to article

from highly sparse transformation obtained by iterative multi-mode discretization. Biclustering algorithms have also been proposed and used in other application

Piecewise linear manifold (749 words) [view diff] exact match in snippet view article find links to article

algebraic sets. A combinatorial manifold is a kind of manifold which is discretization of a manifold. It usually means a piecewise linear manifold made by

Light field microscopy (5,024 words) [view diff] no match in snippet view article find links to article

Light field microscopy (LFM) is a scanning-free 3-dimensional (3D) microscopic imaging method based on the theory of light field. This technique allows

Phase shift module (668 words) [view diff] exact match in snippet view article find links to article

phase shifters provide a discrete set of phase shifts or time delays. Discretization leads to quantization errors. Digital phase shifters require parallel

Wilson fermion (544 words) [view diff] exact match in snippet view article find links to article

In lattice field theory, Wilson fermions are a fermion discretization that allows to avoid the fermion doubling problem proposed by Kenneth Wilson in 1974

Logistic map (18,842 words) [view diff] exact match in snippet view article find links to article

number of individuals K . The logistic map can also be derived from the discretization of the logistic equation for continuous-time population models . The

SWAT model (459 words) [view diff] exact match in snippet view article find links to article

identification is carried out based on topographic criteria, followed by further discretization using land use and soil type considerations. Areas with the same soil

Pseudospectral optimal control (1,510 words) [view diff] exact match in snippet view article find links to article

degree less than or equal to 2 N − 1 {\displaystyle 2N-1} . In the PS discretization of the ODE involved in optimal control problems, a simple but highly

PLPAK (1,584 words) [view diff] exact match in snippet view article find links to article

object such as the number of boundary elements for each segments, the discretization of the beam-slab contact areas, etc. Load cases only (i.e. no load combinations)

Time evolution (1,104 words) [view diff] exact match in snippet view article find links to article

ISBN 978-3-7643-7793-9, MR 2402015. Jerome, J. W.; Polizzi, E. (2014), "Discretization of time-dependent quantum systems: real-time propagation of the evolution

Variational multiscale method (5,741 words) [view diff] exact match in snippet view article find links to article

016. Forti, Davide; Dedè, Luca (August 2015). "Semi-implicit BDF time discretization of the Navier–Stokes equations with VMS-LES modeling in a High Performance

Quadratically constrained quadratic program (748 words) [view diff] exact match in snippet view article find links to article

Sunyoung; Yamashita, Makoto (2019). "Solving pooling problems with time discretization by LP and SOCP relaxations and rescheduling methods". Journal of Global

Gauss's law for magnetism (1,439 words) [view diff] exact match in snippet view article find links to article

numerical solution may not satisfy Gauss's law for magnetism due to the discretization errors of the numerical methods. However, in many cases, e.g., for

CATHARE (software) (798 words) [view diff] exact match in snippet view article

features a modular multi-scale structure (0D, 1D, 3D), to adapt the discretization according to the components and type of study. The code also features

Legendre pseudospectral method (799 words) [view diff] exact match in snippet view article find links to article

San Francisco, CA Reddien, G.W., "Collocation at Gauss Points as a Discretization in Optimal Control," SIAM Journal on Control and Optimization, Vol.

Large eddy simulation (7,232 words) [view diff] exact match in snippet view article find links to article

{\overline {u}}({\boldsymbol {x}})} . Ghosal found that for low-order discretization schemes, such as those used in finite volume methods, the truncation

Electronic engineering (2,884 words) [view diff] exact match in snippet view article find links to article

compensation, elements of proportional–integral–derivative (PID) control. Discretization of continuous-time systems using zero-order hold and ADCs for digital

Overlap fermion (699 words) [view diff] exact match in snippet view article find links to article

In lattice field theory, overlap fermions are a fermion discretization that allows to avoid the fermion doubling problem. They are a realisation of Ginsparg–Wilson

Lead–lag compensator (1,175 words) [view diff] exact match in snippet view article find links to article

networks): In digital control, the operations are performed numerically by discretization of the derivatives and integrals. The reason for expressing the transfer

Pressure-correction method (868 words) [view diff] exact match in snippet view article find links to article

correction of the velocity field is computed through the pressure-field. The discretization of this is typically done with either the finite element method or the

Numerical dispersion (215 words) [view diff] exact match in snippet view article find links to article

the difference depends on the system being simulated and the type of discretization that is used. Numerical diffusion Von Neumann stability analysis numerical

Spatial organization (1,525 words) [view diff] exact match in snippet view article find links to article

1016/0022-5193(71)90189-5. PMID 5104951. Wilson, E. O. (1976). "Behavioral discretization and the number of castes in an ant species". Behavioral Ecology and

Twisted mass fermion (533 words) [view diff] exact match in snippet view article find links to article

In lattice field theory, twisted mass fermions are a fermion discretization that extends Wilson fermions for two mass-degenerate fermions. They are well

Shot noise (2,957 words) [view diff] exact match in snippet view article find links to article

independently of each other. This is therefore another consequence of discretization, in this case of the energy in the electromagnetic field in terms of

Closest point method (640 words) [view diff] exact match in snippet view article find links to article

interpolations. Second-order centered differences are used for the spatial discretization. The CPM results in the expected second order error in the solution

Artikulation (Ligeti) (1,240 words) [view diff] exact match in snippet view article

timbres that came with producing tape music." Fred Lerdahl argues that discretization is necessary not only for musical analysis but also for perception even

MEMO model (wind-flow simulation) (1,891 words) [view diff] exact match in snippet view article

w} are defined at the centre of the appropriate interfaces. Temporal discretization of the prognostic equations is based on the explicit second order Adams-Bashforth

Barna Szabó (1,126 words) [view diff] exact match in snippet view article find links to article

polynomials in the Finite Element Method for controlling errors of discretization were outlined in his dissertation. Szabó's began his professional career

Cadmium selenide (2,081 words) [view diff] exact match in snippet view article find links to article

their size. One type of CdSe nanoparticle is a CdSe quantum dot. This discretization of energy states results in electronic transitions that vary by quantum

Love number (969 words) [view diff] exact match in snippet view article find links to article

16_242. "Tidal Deformation of the Solid Earth: A Finite Difference Discretization", S.K.Poulsen; Niels Bohr Institute, University of Copenhagen; p 24;

Leimkuhler–Matthews method (1,166 words) [view diff] exact match in snippet view article find links to article

the Euler-Maruyama method and the Leimkuhler-Matthews method, using discretization Δ t = 0.5 {\displaystyle \Delta t=0.5} and initializing from a Normal

Application of CFD in thermal power plants (1,260 words) [view diff] exact match in snippet view article find links to article

numerical discretization in CFD. This method is similar in some ways to the finite difference method. This approach involves the discretization of the spatial

First quantization (2,393 words) [view diff] exact match in snippet view article find links to article

be concluded that this was a key onset of quantization, that is the discretization of matter into fundamental constituents. About eight years later Niels

Kamran Daneshjoo (818 words) [view diff] exact match in snippet view article find links to article

"Retracted Article: Analysis of critical ricochet angle using two space discretization methods". Engineering with Computers. 25 (2): 191–206. doi:10.1007/s00366-008-0118-x

Structural engineering (3,726 words) [view diff] exact match in snippet view article find links to article

design of continuous frames. 1941: Alexander Hrennikoff solved the discretization of plane elasticity problems using a lattice framework. 1942: Richard

Scale-invariant feature transform (9,232 words) [view diff] exact match in snippet view article find links to article

is not critical, SIFT outperforms SURF. Specifically, disregarding discretization effects the pure image descriptor in SIFT is significantly better than

Lloyd's algorithm (1,935 words) [view diff] exact match in snippet view article find links to article

by an approximation. A common simplification is to employ a suitable discretization of space like a fine pixel-grid, e.g. the texture buffer in graphics

Computing the Continuous Discretely (384 words) [view diff] exact match in snippet view article find links to article

sequences of numbers into mathematical objects; Green's theorem and its discretization; Bernoulli polynomials; the Euler–Maclaurin formula for the difference

Hyperparameter optimization (2,525 words) [view diff] exact match in snippet view article find links to article

unbounded value spaces for certain parameters, manually set bounds and discretization may be necessary before applying grid search. For example, a typical

Minimum information about a simulation experiment (685 words) [view diff] exact match in snippet view article find links to article

software and any information necessary to implement them, such as the discretization and integration methods. If it is known that a simulation step will

Nine-point stencil (1,512 words) [view diff] exact match in snippet view article find links to article

equivalent, as Oono-Puri being described as the optimally isotropic form of discretization, displaying reduced overall error, and Patra-Karttunen having been systematically

Shock-capturing method (1,166 words) [view diff] exact match in snippet view article find links to article

classical shock-capturing methods include the MacCormack method (uses a discretization scheme for the numerical solution of hyperbolic partial differential

Feature scaling (1,041 words) [view diff] exact match in snippet view article find links to article

Kamber, Micheline; Pei, Jian (2011). "Data Transformation and Data Discretization". Data Mining: Concepts and Techniques. Elsevier. pp. 111–118. ISBN 9780123814807

Flexibility method (1,272 words) [view diff] exact match in snippet view article find links to article

the flexibility method is that the result error is independent of the discretization of the model and that it is indeed a very fast method. For instance

Albert C.J. Luo (2,335 words) [view diff] exact match in snippet view article find links to article

Analytical solutions of periodic motions to chaos in nonlinear systems Discretization and implicit mapping dynamics in nonlinear dynamical systems Analytical

Hand geometry (1,079 words) [view diff] exact match in snippet view article find links to article

David (June 2007). "Hand-Geometry Recognition Using Entropy-Based Discretization". IEEE Transactions on Information Forensics and Security. 2 (2): 181–187

Hamiltonian lattice gauge theory (257 words) [view diff] exact match in snippet view article find links to article

Lattice field theory with only spatial discretization

McCormack (873 words) [view diff] exact match in snippet view article find links to article

MacCormac, 1st Baronet (1836–1901), British surgeon MacCormack method, a discretization scheme for the numerical solution of partial differential equations

Rules extraction system family (1,572 words) [view diff] exact match in snippet view article find links to article

the first RULES version that handles continuous attributes without discretization. It was also extended to produce RULES-5+[9], which improves the performance

Characteristic mode analysis (3,500 words) [view diff] exact match in snippet view article find links to article

solution described in the following paragraph is commonly employed. Discretization D {\displaystyle {\mathcal {D}}} of the body of the scatterer Ω {\displaystyle

MapleSim (656 words) [view diff] exact match in snippet view article find links to article

Transfer effects in MapleSim model based on automatically generated discretization approach. MapleSim Control Design Toolbox Provides a set of commands

Finite-difference time-domain method (5,475 words) [view diff] exact match in snippet view article find links to article

that the entire computational domain be gridded, and the grid spatial discretization must be sufficiently fine to resolve both the smallest electromagnetic

Talitha Washington (1,223 words) [view diff] exact match in snippet view article find links to article

E. Mickens, J. Munyakazi and T. M. Washington. "A Note on the Exact Discretization for a Cauchy-Euler ODE: Application to the Black-Scholes Equation" Journal

Reflected Brownian motion (1,569 words) [view diff] exact match in snippet view article find links to article

ISBN 978-1118014950. Asmussen, S.; Glynn, P.; Pitman, J. (1995). "Discretization Error in Simulation of One-Dimensional Reflecting Brownian Motion".

Geneviève Raugel (737 words) [view diff] exact match in snippet view article find links to article

works were devoted to numerical analysis, in particular finite element discretization of partial differential equations. With Christine Bernardi, she studied

Reservoir simulation (2,156 words) [view diff] exact match in snippet view article find links to article

radial grid models. Theoretically, finite difference models permit discretization of the reservoir using both structured and more complex unstructured

Lattice QCD (1,881 words) [view diff] exact match in snippet view article find links to article

constants which are different from their true physical values: The lattice discretization means approximating continuous and infinite space-time by a finite lattice

Structural analysis (3,014 words) [view diff] exact match in snippet view article find links to article

1941: Alexander Hrennikoff submitted his D.Sc. thesis in MIT on the discretization of plane elasticity problems using a lattice framework 1942: R. Courant

Physics-informed neural networks (4,811 words) [view diff] exact match in snippet view article find links to article

accounting for prior assumptions, linearization, and adequate time and space discretization. Recently, solving the governing partial differential equations of physical

Feynman–Kac formula (3,361 words) [view diff] exact match in snippet view article find links to article

mitigated by increasing the number of realizations or refining the time discretization. Thus, stochastic differential equations provide a flexible and scalable

Feynman–Kac formula (3,361 words) [view diff] exact match in snippet view article find links to article

mitigated by increasing the number of realizations or refining the time discretization. Thus, stochastic differential equations provide a flexible and scalable

Akselos (741 words) [view diff] exact match in snippet view article find links to article

'empirical interpolation' method: application to efficient reduced-basis discretization of partial differential equations". Comptes Rendus Mathématique. 339

Predictive Model Markup Language (1,448 words) [view diff] exact match in snippet view article find links to article

Normalization: map values to numbers, the input can be continuous or discrete. Discretization: map continuous values to discrete values. Value mapping: map discrete

Tim Palmer (physicist) (1,347 words) [view diff] exact match in snippet view article

1098/rsta.2013.0276. PMC 4024232. PMID 24842031. Palmer T.N. (2020). Discretization of the Bloch sphere, fractal invariant sets and Bell’s theorem. Proc

Monte Carlo methods for electron transport (5,007 words) [view diff] exact match in snippet view article find links to article

heating and the velocity overshoot effect. Needless to say, an accurate discretization method is required in HD simulation, since the governing equations are

Thin plate spline (1,593 words) [view diff] exact match in snippet view article find links to article

exists a unique minimizer f {\displaystyle f} . The finite element discretization of this variational problem, the method of elastic maps, is used for

Gauss pseudospectral method (1,142 words) [view diff] exact match in snippet view article find links to article

University Press, 1998. Reddien, G.W., "Collocation at Gauss Points as a Discretization in Optimal Control,"SIAM Journal on Control and Optimization, Vol. 17

DART radiative transfer model (1,163 words) [view diff] exact match in snippet view article find links to article

Remote sensing of Environment. 131:85–102. A new approach of direction discretization and oversampling for 3D anisotropic radiative transfer modeling, 2013

Logic learning machine (621 words) [view diff] exact match in snippet view article find links to article

Conte, M.; Varesio, L. (2013). "Use of Attribute Driven Incremental Discretization and Logic Learning Machine to build a prognostic classifier for neuroblastoma

Cynopoecilus (315 words) [view diff] exact match in snippet view article find links to article

the subtribe Cynopoecilina, including continuous characters without discretization (Cyprinodontiformes: Rivulidae). Zoological Journal of the Linnean Society

Continuous simulation (1,489 words) [view diff] exact match in snippet view article find links to article

algorithms (like the method of Euler or Runge–Kutta) using some form of discretization. Consequently, digital computers cannot run truly continuous simulations

Aslak Tveito (700 words) [view diff] exact match in snippet view article find links to article

included the numerical solution of linear systems arising from the discretization of partial differential equations; the numerical and mathematical analysis

Modifiable areal unit problem (2,203 words) [view diff] exact match in snippet view article find links to article

recognition that spatial analysis has some limitations associated with the discretization of space. Among them, modifiable areal units and boundary problems are

Energy release rate (fracture mechanics) (5,612 words) [view diff] exact match in snippet view article

{\displaystyle x_{1}} -direction. Additionally, this method requires sufficient discretization such that over the length of one element stress fields are self-similar

Jean Jacod (368 words) [view diff] exact match in snippet view article find links to article

1007/978-3-662-05265-5. ISBN 9783540439325. Jacod, Jean; Protter, Philip (2012). Discretization of Processes. doi:10.1007/978-3-642-24127-7. ISBN 9783642241260. J.

Claude Itzykson (1,065 words) [view diff] exact match in snippet view article find links to article

In particular, he worked on the symmetries of the hydrogen atom, the discretization of network gauge theories, the integrals on large matrices and their

Smoothing spline (2,314 words) [view diff] exact match in snippet view article find links to article

stretching penalty of the approximating manifold and uses the coarse discretization of the optimization problem. Source code for spline smoothing can be

Berlin Mathematical School (669 words) [view diff] exact match in snippet view article find links to article

Analysis and Stochastics (WIAS) or the DFG Collaborative Research Centers: Discretization in Geometry (SFB 109) Scaling Cascades in Complex Systems (SFB 1114)

Anna Hasenfratz (318 words) [view diff] exact match in snippet view article find links to article

chromodynamics and models for electroweak symmetry breaking, using lattice discretization and renormalization group methods. Hasenfratz is the sister of Péter

Spearman's rank correlation coefficient (4,340 words) [view diff] exact match in snippet view article find links to article

operations (Algorithm 2). Note that for discrete random variables, no discretization procedure is necessary. This method is applicable to stationary streaming

Eduardo Fradkin (780 words) [view diff] exact match in snippet view article find links to article

not already been mentioned above include a graph-theoretic lattice discretization scheme for Chern-Simons theories and its applications to condensed matter

Hydrogen line (3,542 words) [view diff] exact match in snippet view article find links to article

antiparallel states are allowed is a result of the quantum mechanical discretization of the total angular momentum of the system. When the spins are parallel

Ionization (6,848 words) [view diff] exact match in snippet view article find links to article

Kadyrov, A.S.; Bray, I; Bartschat, K. (2017). "Wave-packet continuum-discretization approach to single ionization of helium by antiprotons and energetic

Kinetic logic (3,101 words) [view diff] exact match in snippet view article find links to article

an n-valued variable is associated with an n-valued function. After discretization the integers of certain weights or sums of weights are called logical

Anita Layton (449 words) [view diff] exact match in snippet view article find links to article

completed a Ph.D. there in 2001. Her dissertation, High-Order Spatial Discretization Methods for the Shallow Water Equations, concerned numerical weather

Quantum mechanics (12,153 words) [view diff] exact match in snippet view article find links to article

\left(n+{1 \over 2}\right).} This is another example illustrating the discretization of energy for bound states. The Mach–Zehnder interferometer (MZI) illustrates

Bernold Fiedler (493 words) [view diff] exact match in snippet view article find links to article

1007/978-3-658-09990-9_7 Fiedler, Bernold; Scheurle, Jürgen (1996). Discretization of homoclinic orbits, rapid forcing, and "invisible chaos". Providence

Zeno's paradoxes (4,625 words) [view diff] exact match in snippet view article find links to article

Bendegem has argued that the Tile Argument can be resolved, and that discretization can therefore remove the paradox. In 1977, physicists E. C. George Sudarshan

Fair cake-cutting (4,016 words) [view diff] exact match in snippet view article find links to article

agents simultaneously send discretizations of their value-measures. A discretization is a sequence of cut-points, and the values of pieces between these

Innovation method (6,480 words) [view diff] exact match in snippet view article find links to article

innovation estimators based on discrete-discrete filters result from the discretization of the SDE (1) by means of a numerical scheme. Typically, the effectiveness

Numerical analytic continuation (1,027 words) [view diff] exact match in snippet view article find links to article

continuation: Efficient blocked-mode sampling and dependence on the discretization grid". Physical Review B. 101 (8): 085111. arXiv:1912.01379. Bibcode:2020PhRvB

Forward problem of electrocardiology (5,006 words) [view diff] exact match in snippet view article find links to article

method is applied for the space discretization and semi-implicit finite-difference schemes are used for the time discretization. Uncoupled heart-torso model

Random projection (1,829 words) [view diff] exact match in snippet view article find links to article

faster. Random projection can be further condensed by quantization (discretization), with 1-bit (sign random projection) or multi-bits. It is the building

GSSHA (962 words) [view diff] exact match in snippet view article find links to article

fate and transport. GSSHA uses a regular square grid computational discretization of the watershed. Elevation data are taken from a digital elevation

Uncertainty principle (19,263 words) [view diff] exact match in snippet view article find links to article

proof). A measurement apparatus will have a finite resolution set by the discretization of its possible outputs into bins, with the probability of lying within

Ridge regression (4,146 words) [view diff] exact match in snippet view article find links to article

{T}}\Gamma .} Typically discrete linear ill-conditioned problems result from discretization of integral equations, and one can formulate a Tikhonov regularization

History of structural engineering (3,172 words) [view diff] exact match in snippet view article find links to article

Alexander Hrennikoff submitted his D.Sc thesis at MIT on the topic of discretization of plane elasticity problems using a lattice framework. This was the

Ulrich Pinkall (707 words) [view diff] exact match in snippet view article find links to article

187. S2CID 120432228. Bobenko, Alexander I.; Pinkall, Ulrich (1999). "Discretization of surfaces and integrable systems". In Bobenko, Alexander I.; Seiler

Frank Natterer (1,141 words) [view diff] exact match in snippet view article find links to article

positron emission tomography Regularization of inverse problems with discretization and projection methods. sampling theorems (optimal resolution with minimal

Nanometrology (2,296 words) [view diff] exact match in snippet view article find links to article

path the conductivity of the crystal changes. Another example is the discretization of stresses in the system. It becomes important to measure the physical

Bayesian optimization (2,323 words) [view diff] exact match in snippet view article find links to article

maximum of the acquisition function is typically found by resorting to discretization or by means of an auxiliary optimizer. Acquisition functions are maximized

Nagel–Schreckenberg model (1,352 words) [view diff] exact match in snippet view article find links to article

Schreckenberg's original work). Time is discretized into time steps. This discretization in both space and time results in a cellular automaton. One can think

Flash flood guidance system (1,755 words) [view diff] exact match in snippet view article find links to article

Hydrology, 298, 61-79 Carpenter, T.M. and Georgakakos, K.P. (2006) Discretization Scale Dependencies of the Ensemble Flow Range versus Catchment Area

Deep backward stochastic differential equation method (4,113 words) [view diff] no match in snippet view article find links to article

Deep backward stochastic differential equation method is a numerical method that combines deep learning with Backward stochastic differential equation

Electrowetting (2,677 words) [view diff] exact match in snippet view article find links to article

called "Digital Microfluidic Circuits" or "Digital Microfluidics". Discretization by electrowetting-on-dielectric (EWOD) was first demonstrated by Cho

Group method of data handling (2,532 words) [view diff] exact match in snippet view article find links to article

(PF) clusterization algorithm; Analogues Complexing (AC) Harmonical Re-discretization Algorithm on the base of Multilayered Theory of Statistical Decisions

Finite-difference frequency-domain method (938 words) [view diff] exact match in snippet view article find links to article

1133733. M. Albani; P. Bernardi (1974). "A numerical method based on the discretization of Maxwell equations in integral form". IEEE Transactions on Microwave

HBV hydrology model (1,468 words) [view diff] exact match in snippet view article find links to article

fully object-oriented code provides complete flexibility in spatial discretization, interpolation, process representation, and forcing function generation

Optimal control (4,734 words) [view diff] exact match in snippet view article find links to article

converge to the solution of the original, continuous-time problem. Not all discretization methods have this property, even seemingly obvious ones. For instance

Decision tree learning (6,542 words) [view diff] exact match in snippet view article find links to article

(regression tree), meaning that use of many other metrics would first require discretization before being applied. The variance reduction of a node N is defined

Tanh-sinh quadrature (1,216 words) [view diff] exact match in snippet view article find links to article

thousands of digits is desired. The convergence is exponential (in the discretization sense) for sufficiently well-behaved integrands: doubling the number

Hydrogen (12,916 words) [view diff] exact match in snippet view article find links to article

while planets and celestial objects are held by gravity. Due to the discretization of angular momentum postulated in early quantum mechanics by Bohr, the

Digital imaging (4,843 words) [view diff] exact match in snippet view article find links to article

analog real-world data is known as digitizing, and involves sampling (discretization) and quantization. Projectional imaging of digital radiography can be

Factor analysis of mixed data (1,311 words) [view diff] exact match in snippet view article find links to article

When the active variables are mixed, the usual practice is to perform discretization on the quantitative variables (e.g. usually in surveys the age is transformed

Manifold (9,536 words) [view diff] exact match in snippet view article find links to article

contact manifold. A combinatorial manifold is a kind of manifold which is discretization of a manifold. It usually means a piecewise linear manifold made by

Gábor Stépán (359 words) [view diff] exact match in snippet view article find links to article

publications. Books: Retarded Dynamical Systems (Wiley, NY, 1989) Semi-Discretization for Time-Delay Systems (Springer, NY, 2011) SIAM Fellows: Class of 2017

Method of moments (electromagnetics) (4,009 words) [view diff] exact match in snippet view article

Another approach, the volumetric integral equation, necessitates the discretization of the volume elements and is often computationally expensive. MoM can

Digitization (6,515 words) [view diff] exact match in snippet view article find links to article

approximation of the signal it represents. Digitization occurs in two parts: Discretization The reading of an analog signal A, and, at regular time intervals (frequency)

Hybrid difference scheme (1,351 words) [view diff] exact match in snippet view article find links to article

L. W. (1982). The Calculation of Some Laminar Flows Using Various Discretization Schemes, Comput. Methods Appl. Mech. Eng., Vol. 35. Borris, J.P. and

N-body simulation (4,082 words) [view diff] exact match in snippet view article find links to article

simulations on cells of finite size. It is important to implement the discretization procedure in such a way that particles always exert a vanishing force

Box spline (1,796 words) [view diff] exact match in snippet view article find links to article

A.; Nilchian, M.; Unser, M. (2012). "A Box Spline Calculus for the Discretization of Computed Tomography Reconstruction Problems" (PDF). IEEE Transactions

Fluid–structure interaction (2,968 words) [view diff] exact match in snippet view article find links to article

particle hydrodynamics), a meshless computational method using particle discretization. Stochastic Immersed Boundary Methods in 3D, P. Atzberger, UCSB Immersed

Differential-algebraic system of equations (2,870 words) [view diff] exact match in snippet view article find links to article

Günther, M.; Feldmann, U.; Ter Maten, J. (2005). "Modelling and Discretization of Circuit Problems". Numerical Methods in Electromagnetics. Handbook

J. F. Besseling (752 words) [view diff] exact match in snippet view article find links to article

"fraction model". 1957: Two reaction theory for induction motors. 1964: Discretization method with dual vector spaces for forces velocities and for stresses

Formal concept analysis (5,372 words) [view diff] exact match in snippet view article find links to article

G.; Leschi, C.; Besson, J.; Boulicaut, J.-F. (2004). "Assessment of discretization techniques for relevant pattern discovery from gene expression data"

Stochastic gradient descent (7,016 words) [view diff] exact match in snippet view article find links to article

N 0 {\textstyle (w_{n})_{n\in \mathbb {N} _{0}}} can be viewed as a discretization of the gradient flow ODE d d t W t = − ∇ Q ( W t ) {\displaystyle {\frac

OPTOS formalism (1,149 words) [view diff] exact match in snippet view article find links to article

wavelength wave optical approaches like RCWA, FDTD or FEM can be used. The discretization of the complete angular space into a fixed number of angle channels

Gauss–Kuzmin–Wirsing operator (3,078 words) [view diff] exact match in snippet view article find links to article

Doklady 19:136–140 (1978) MR472746 K. I. Babenko and S. P. Jur'ev, On the Discretization of a Problem of Gauss, Soviet Mathematical Doklady 19:731–735 (1978)

Morley–Wang–Xu element (857 words) [view diff] exact match in snippet view article find links to article

function. This new family of finite element methods provides practical discretization methods for, say, a sixth order elliptic equations in 2D (which only

Bitpit (526 words) [view diff] exact match in snippet view article find links to article

Materials. CANUM, May 2016, Obernai, France. Presentation F. Tesser, Discretization of the Laplacian operator using a multitude of overlapping cartesian

Day count convention (3,892 words) [view diff] exact match in snippet view article find links to article

example, when one computes an integral over a time interval using a discretization rule. Date rolling (business day) conventions adjust non-business into

Discrete Poisson equation (1,963 words) [view diff] exact match in snippet view article find links to article

discretize the 2-dimensional Poisson equation (assuming a uniform spatial discretization, Δ x = Δ y {\displaystyle \Delta x=\Delta y} ) on an m × n grid gives

Nicholas II Vásári (1,584 words) [view diff] exact match in snippet view article find links to article

decision, but without the permission of the royal family. This led to the discretization of Vid Vasvári, but it did not affect Vásári's career, who was described

Ice-sheet model (2,332 words) [view diff] exact match in snippet view article find links to article

J.; Van De Wal, R. S. W.; Oerlemans, J. (2006). "Effects of spatial discretization in ice-sheet modelling using the shallow-ice approximation". Journal

Ilaria Perugia (275 words) [view diff] exact match in snippet view article find links to article

research, completing her Ph.D. in 1998. Her doctoral dissertation, Discretization of Linearly Constrained Problems And Applications In Scientific Computing

Heat kernel signature (2,370 words) [view diff] exact match in snippet view article find links to article

global information. However, there is no direct way to choose the time discretization. The existing method chooses time samples logarithmically which is a

Ilaria Perugia (275 words) [view diff] exact match in snippet view article find links to article

research, completing her Ph.D. in 1998. Her doctoral dissertation, Discretization of Linearly Constrained Problems And Applications In Scientific Computing

Multisymplectic integrator (1,608 words) [view diff] exact match in snippet view article find links to article

"On the preservation of phase space structure under multisymplectic discretization", J. Comput. Phys., 197 (2): 585–609, Bibcode:2004JCoPh.197..585I, doi:10

Color histogram (2,237 words) [view diff] exact match in snippet view article find links to article

space of any dimension. A histogram of an image is produced first by discretization of the colors in the image into a number of bins, and counting the number

Quantum well (6,145 words) [view diff] exact match in snippet view article find links to article

VB}}^{4}}{\hbar ^{2}}}\right)qF^{2}} The quantum size effect (QSE) is the discretization of energy a charge carrier undergoes due to confinement when its Bohr

Maximum parsimony (7,420 words) [view diff] exact match in snippet view article find links to article

they should be ordered. On the contrary, for characters that represent discretization of an underlying continuous variable, like shape, size, and ratio characters

Electromagnetic metasurface (2,931 words) [view diff] exact match in snippet view article find links to article

metasurfaces, prism-based algorithms allow for triangular prismatic space discretization, which is optimal for planar geometries. The prism-based algorithm has

Air bearing (3,274 words) [view diff] exact match in snippet view article find links to article

Finite difference method or Finite element method are common for the discretization and the resolution of the equation, accounting for the boundary conditions

Mesh generation (5,322 words) [view diff] exact match in snippet view article find links to article

So-called meshless or meshfree methods often make use of some mesh-like discretization of the domain, and have basis functions with overlapping support. Sometimes

Financial economics (11,978 words) [view diff] exact match in snippet view article find links to article

lattice-based implied-binomial and -trinomial trees – essentially a discretization of the approach – which are similarly, but less commonly, used for pricing;

Poisson summation formula (4,951 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \delta ,} resulting in a Dirac comb, corresponds to the discretization of its spectrum which is constantly one. Hence, this again is a Dirac

Eikonal equation (3,770 words) [view diff] exact match in snippet view article find links to article

h_{y}}}.} Due to the consistent, monotone, and causal properties of this discretization it is easy to show that if U X = min ( U i − 1 , j , U i + 1 , j ) {\displaystyle

Loop quantum gravity (16,616 words) [view diff] exact match in snippet view article find links to article

sense. Another difficulty here is that spin foams are defined on a discretization of spacetime. While this presents no problems for a topological field

Feynman diagram (15,967 words) [view diff] exact match in snippet view article find links to article

,} where ⟨x,y⟩ is a pair of nearest lattice neighbors x and y. The discretization should be thought of as defining what the derivative ∂μφ means. In terms

SmartDO (1,218 words) [view diff] exact match in snippet view article find links to article

enables SmartDO to eliminate the numerical noise caused by meshing, discretization, and other phenomena during numerical analysis. Other unique technologies

Eigenvalues and eigenvectors of the second derivative (2,781 words) [view diff] exact match in snippet view article find links to article

v_{k},\ k=1,...,n,\ v'_{0.5}=v'_{n+0.5}=0.\,\!} In the standard discretization, we introduce v 0 {\displaystyle v_{0}\,\!} and v n + 1 {\displaystyle

Narrow escape problem (3,050 words) [view diff] exact match in snippet view article find links to article

limit theorem and using a large number of samples. There is also a discretization error due to the finite size approximation of the step size in approximating

Riemann mapping theorem (7,478 words) [view diff] exact match in snippet view article find links to article

approximate method for conformal welding; however, it can also be viewed as a discretization of the Loewner differential equation. The following is known about numerically

Phase-field model (3,883 words) [view diff] exact match in snippet view article find links to article

stack that consists of phase-field codes that offer flexibility with discretization, models as well as the high-performance computing hardware(CPU/GPU)

Bucket queue (3,335 words) [view diff] exact match in snippet view article find links to article

monotone optimization of the bucket queue and its analysis. However, the discretization introduces some error into the resulting calculations. Soft heap, a

Weil–Brezin Map (2,662 words) [view diff] exact match in snippet view article find links to article

Sciences, 1977. Zhang, D. "Integer Linear Canonical Transforms, Their Discretization, and Poisson Summation Formulae" "Zak Transform". Auslander, L., and

Childhood trauma (9,060 words) [view diff] exact match in snippet view article find links to article

around a pattern of emotional manipulation, abusive words, isolation, discretization, humiliation and more that tends to have an internalized effect on an

3D sound localization (4,250 words) [view diff] exact match in snippet view article find links to article

multiple segments and assigned to a set of positions using a spatial discretization algorithm. This allows for the computation of a vector representation

Contact mechanics (12,049 words) [view diff] exact match in snippet view article find links to article

for point loading of an elastic half-space. After discretization the linear elastic contact mechanics problem can be stated in standard

Finite volume method for three-dimensional diffusion problem (1,190 words) [view diff] exact match in snippet view article find links to article

3D Discretization

Z88 FEM software (2,046 words) [view diff] exact match in snippet view article find links to article

simulate a glued connection or a friction-free connection and the contact discretization (type of contact: node-surface-, or surface-surface-contact), the mathematical

Generalized-strain mesh-free formulation (2,053 words) [view diff] exact match in snippet view article find links to article

{S}{n_{\Omega }}}\sum _{k=1}^{n_{\Omega }}\,\mathbf {b} _{\mathbf {x} _{k}}} Discretization of this equations can be carried out with the MLS approximation, for

Linear seismic inversion (4,036 words) [view diff] exact match in snippet view article find links to article

properties are to be determined is a necessary starting point for the discretization. Commonly, as shown in Fig. 3, this properties are sampled at close

Pentagram map (6,298 words) [view diff] exact match in snippet view article find links to article

pentagram map. At the same time, the pentagram invariant bracket is a discretization of a well known invariant Poisson bracket associated to the Boussinesq

Echographies of Television (3,537 words) [view diff] exact match in snippet view article find links to article

is, digital photography. This third stage is part of a "systematic discretization of movement," a process of "grammatisation of the visible". Great moments

Single-particle trajectory (2,964 words) [view diff] exact match in snippet view article find links to article

x^{i}(t_{N_{s}})\},} where t j {\displaystyle t_{j}} are the sampling times, the discretization of equation for the drift a ( x k ) = ( a x ( x k ) , a y ( x k ) )

List of datasets for machine-learning research (14,962 words) [view diff] exact match in snippet view article find links to article

data mining. ACM, 2001. Bay, Stephen D. (November 2001). "Multivariate Discretization for Set Mining". Knowledge and Information Systems. 3 (4): 491–512.

Resonance fluorescence (5,624 words) [view diff] exact match in snippet view article find links to article

this process, quantum dots are placed in cavities which allow for the discretization of the possible energy states of the quantum dot coupled with the vacuum

Thomas Weiland (2,097 words) [view diff] exact match in snippet view article find links to article

University of Darmstadt. Retrieved 2023-06-22. Weiland, Thomas. "A discretization model for the solution of Maxwell's equations for six-component fields"

Equation-free modeling (3,317 words) [view diff] exact match in snippet view article find links to article

multiple dimensions. This answer is related to the coupling in holistic discretization and theoretical support provided by the theory of slow manifolds. The

Magnetic skyrmion (4,347 words) [view diff] exact match in snippet view article find links to article

becomes inaccurate at size-scales on the order of < 2 nm, due to the discretization of the atomic lattice. Thus, it is not meaningful to speak of magnetic

Composite methods for structural dynamics (3,487 words) [view diff] exact match in snippet view article find links to article

stiff problems and differential-algebraic equations. After spatial discretization, structural dynamics problems are generally described by the second-order

Consensus based optimization (1,568 words) [view diff] exact match in snippet view article find links to article

noise (i.e. σ = 0 {\displaystyle \sigma =0} ) and an Euler–Maruyama discretization with step size d t = 1 {\displaystyle dt=1} , corresponds to the mean-shift

Discrete calculus (6,577 words) [view diff] exact match in snippet view article find links to article

Discrete calculus is used for modeling either directly or indirectly as a discretization of infinitesimal calculus in every branch of the physical sciences,

Rotary friction welding (9,219 words) [view diff] exact match in snippet view article find links to article

ISSN 0079-6425. Neuvonen, Riku; Skriko, Tuomas; Björk, Timo (2021-04-01). "Discretization and material parameter characterization for a HAZ in direct-quenched

Alexander Ramm (4,450 words) [view diff] exact match in snippet view article find links to article

in a Hilbert space was developed. Convergence theorems are proved. Discretization of the Cauchy problem leads to a variety of iterative methods for solving

Fanny Casado (1,444 words) [view diff] exact match in snippet view article find links to article

(2023-06-22). "Prediction of prostate cancer biochemical recurrence by using discretization supports the critical contribution of the extra-cellular matrix genes"

Non-linear inverse Compton scattering (5,436 words) [view diff] exact match in snippet view article find links to article

light and matter. The principal ones are listed below. Inclusion of the discretization of the emitted radiation, i.e. the introduction of photons with respect

Chambolle-Pock algorithm (2,970 words) [view diff] exact match in snippet view article find links to article

implements the algorithm in MATLAB, Julia, R and Python In the Operator Discretization Library (ODL), a Python library for inverse problems, chambolle_pock_solver

Diffusion model (14,123 words) [view diff] exact match in snippet view article find links to article

as ODEs with straight paths can be simulated precisely without time discretization. Specifically, rectified flow seeks to match an ODE with the marginal

Charge based boundary element fast multipole method (3,473 words) [view diff] exact match in snippet view article find links to article

are still used on triangulated interfaces, we obtain exactly the same discretization as before if we replace the double integrals over surfaces S m {\displaystyle

Light-front computational methods (11,024 words) [view diff] exact match in snippet view article find links to article

generalization to more than one is trivial. A systematic approach to discretization of the eigenvalue problem is the DLCQ method originally suggested by