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searching for Numerical stability 55 found (112 total)

Bounding interval hierarchy (1,107 words) [view diff] exact match in snippet view article find links to article

planes), it would almost certainly be less desirable due to decreased numerical stability and an increase in the complexity of ray traversal. The key feature

Ecological stability (2,737 words) [view diff] exact match in snippet view article find links to article

components of an ecosystem, a population, or a community possesses numerical stability if the number of individuals is constant or resilient. It is possible

Numerical analysis (3,919 words) [view diff] no match in snippet view article find links to article

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical

CYK algorithm (2,189 words) [view diff] no match in snippet view article find links to article

In computer science, the Cocke–Younger–Kasami algorithm (alternatively called CYK, or CKY) is a parsing algorithm for context-free grammars published by

Woodbury matrix identity (2,090 words) [view diff] exact match in snippet view article find links to article

solutions to linear equations. However, little is known about the numerical stability of the formula. There are no published results concerning its error

Partial inverse of a matrix (691 words) [view diff] exact match in snippet view article find links to article

operation of rotation (of the graph of the pivoted matrix) has better numerical stability than the shearing operation which is implicitly performed by Gaussian

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

inf-sup condition. The LBB condition is a sufficient condition for the numerical stability of mixed finite element problems with saddle point structure, such

Cyclic reduction (342 words) [view diff] exact match in snippet view article find links to article

discretising the solution on a regular grid. Systems which have good numerical stability initially tend to get better with each step. Moreover, to a point

Phyllis Nicolson (821 words) [view diff] exact match in snippet view article find links to article

equation, and with her colleague John Crank she investigated the numerical stability of several solution techniques. The algorithm now known as the Crank–Nicolson

Tire model (805 words) [view diff] exact match in snippet view article find links to article

running at higher frequencies, like 2 kHz, might mitigate lowered numerical stability in some scenarios, and might increase the model accuracy in frequency

Finite-difference time-domain method (5,474 words) [view diff] exact match in snippet view article find links to article

this scheme mandates an upper bound on the time-step to ensure numerical stability. As a result, certain classes of simulations can require many thousands

Bunch–Nielsen–Sorensen formula (333 words) [view diff] exact match in snippet view article find links to article

eigenvalues of A ~ {\displaystyle {\tilde {A}}} were studied by Golub. Numerical stability of the computation is studied by Gu and Eisenstat. Sherman–Morrison

Moving particle semi-implicit method (1,735 words) [view diff] exact match in snippet view article find links to article

Improved versions of MPS method have been proposed for enhancement of numerical stability (e.g. Koshizuka et al., 1998; Zhang et al., 2005; Ataie-Ashtiani

Nicholas Higham (1,044 words) [view diff] exact match in snippet view article find links to article

recognition of 'his leading contributions to numerical linear algebra and numerical stability analysis'. He was elected a Member of Academia Europaea in 2016.

Fifteenth Lambeth Conference (2,441 words) [view diff] exact match in snippet view article find links to article

liberal provinces. Many southern provinces are characterised by numerical stability or growth, large dioceses with a correspondingly small number of

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

that automatically selects a good set of redundant forces to ensure numerical stability. It is apparent from the above process that the matrix stiffness

Sarma method (931 words) [view diff] exact match in snippet view article find links to article

proved to yield results quite similar to the modern safe Lower Bound numerical stability Limit Analysis methods (e.g. the 51st Rankine Lecture). However,

Rectifier (neural networks) (2,794 words) [view diff] exact match in snippet view article

Additionally, squareplus requires no special consideration to ensure numerical stability when x {\displaystyle x} is large. Softmax function Sigmoid function

Viscous vortex domains method (976 words) [view diff] exact match in snippet view article find links to article

S2CID 123148208. Dynnikov, Ya. A.; Dynnikova, G. Ya. (12 October 2011). "Numerical stability and numerical viscosity in certain meshless vortex methods as applied

HEC-RAS (973 words) [view diff] exact match in snippet view article find links to article

to use HEC-RAS to overcome instability issues on river problems. Numerical stability concerns are an intrinsic property of finite difference numerical

Bounding sphere (1,515 words) [view diff] exact match in snippet view article find links to article

moderately low (up to 10,000) dimensions and claim it does not exhibit numerical stability problems in its floating-point operations. A C++ implementation of

Sherman–Morrison formula (1,804 words) [view diff] exact match in snippet view article find links to article

of the issues with the formula is that little is known about its numerical stability. There are no published results concerning its error bounds. Anecdotal

Storm Water Management Model (7,271 words) [view diff] exact match in snippet view article find links to article

restricted to dendritic network layouts. It can usually maintain numerical stability with moderately large time steps, on the order of 1 to 5 minutes

Digital filter (3,692 words) [view diff] exact match in snippet view article find links to article

their implementation, and others provide advantages such as improved numerical stability and reduced round-off error. Some structures are better for fixed-point

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

which means that the system can be partitioned at this location. Numerical stability is ensured since there is no numerical error, instead there is a

Finite element exterior calculus (800 words) [view diff] exact match in snippet view article find links to article

Winther. "Finite element exterior calculus: from Hodge theory to numerical stability." Bulletin of the American mathematical society 47.2 (2010): 281-354

Extended Kalman filter (3,823 words) [view diff] exact match in snippet view article find links to article

Kalman-type filters for nonlinear state transitions stems from the numerical stability issues required for precision, however the UKF does not escape this

Poisson distribution (11,215 words) [view diff] exact match in snippet view article find links to article

large compared to e−λ, and therefore give an erroneous result. For numerical stability the Poisson probability mass function should therefore be evaluated

Transformer (deep learning architecture) (13,091 words) [view diff] exact match in snippet view article

or LN), which while conceptually unnecessary, are necessary for numerical stability and convergence. The residual connection, which is introduced to

Kahan summation algorithm (3,525 words) [view diff] exact match in snippet view article find links to article

archived from the original (PDF) on 9 February 2018. Babuska, I.: Numerical stability in mathematical analysis. Inf. Proc. ˇ 68, 11–23 (1969) Bresenham

Castile and León (11,613 words) [view diff] exact match in snippet view article find links to article

(2 488 062), so that, despite the negative growth, the relative numerical stability is partly due to the increase in immigration: of 22 910 immigrants

Errors-in-variables model (5,731 words) [view diff] exact match in snippet view article find links to article

Fourier transform, with a trimming parameter C needed to ensure the numerical stability. For example: f ^ x ( x ) = 1 ( 2 π ) k ∫ − C C ⋯ ∫ − C C e − i u

Multiplicative noise (1,804 words) [view diff] exact match in snippet view article find links to article

W_{n}\right)^{2},} which better preserves positivity and improves numerical stability. Alternatively, r t {\displaystyle r_{t}} can be exactly sampled

Batch normalization (5,891 words) [view diff] exact match in snippet view article find links to article

respectively. ϵ {\displaystyle \epsilon } is added in the denominator for numerical stability and is an arbitrarily small constant. The resulting normalized activation

Momentum mapping format (2,110 words) [view diff] exact match in snippet view article find links to article

to computational failure. Conversely, the PIC scheme is known for numerical stability and is advantageous for static problems, but it suffers from significant

Shian-Jiann Lin (957 words) [view diff] exact match in snippet view article find links to article

was found that FV3 produced more accurate forecasts with better numerical stability compared to competing dynamical cores without sacrificing realism

Neepa Maitra (853 words) [view diff] exact match in snippet view article find links to article

PMID 30689380. Exact factorization approach is a way to explore numerical stability of equations, and improve understanding of exact potentials and equations

Generalized additive model (5,716 words) [view diff] exact match in snippet view article find links to article

smoothing parameters, and this requires some care is efficiency and numerical stability are to be maintained. Backfit GAMs were originally provided by the

Semi-global matching (2,048 words) [view diff] exact match in snippet view article find links to article

r , k ) {\displaystyle \min _{k}L_{r}(p-r,k)} is subtracted for numerical stability, since it is constant for all values of disparity at the current

Iterative proportional fitting (3,463 words) [view diff] exact match in snippet view article find links to article

preferred due to its computational speed, low storage requirements, numerical stability and algebraic simplicity. Applications of IPFP have grown to include

Stock-flow consistent model (2,818 words) [view diff] exact match in snippet view article find links to article

Example of a numerical stability analysis. For certain parameter values (here: interest rate and consumption out of wealth) the model is unstable, but

Rare Earth hypothesis (12,133 words) [view diff] exact match in snippet view article find links to article

the Habitable Zone of Extrasolar Planetary Systems (A qualitative numerical stability study)" (PDF). Niels Bohr Institute. Retrieved 31 October 2007. Main

Regularization by spectral filtering (2,234 words) [view diff] exact match in snippet view article find links to article

problems; in both problems, a main concern is to deal with the issue of numerical stability. Each algorithm in the class of spectral regularization algorithms

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

details). Symplectic schemes are conservative but explicit, thus their numerical stability requires stability conditions, analogous to the Courant-Friedrichs-Lewy

Per-unit system (2,918 words) [view diff] exact match in snippet view article find links to article

both hand and automatic calculations are simplified. It improves numerical stability of automatic calculation methods. Per unit data representation yields

Polynomial root-finding (2,710 words) [view diff] exact match in snippet view article find links to article

(cpoly) variant of the Jenkins–Traub algorithm and gives it its numerical stability. Additionally, it has fast convergence with order 1 + φ ≈ 2.6 {\displaystyle

Arrangement of lines (6,722 words) [view diff] exact match in snippet view article find links to article

2008-12-03, retrieved 2008-12-15 Fortune, S.; Milenkovic, V. (1991), "Numerical stability of algorithms for line arrangements", Proc. 7th ACM Symposium on

James H. Williams Jr. (6,261 words) [view diff] case mismatch in snippet view article find links to article

S2CID 137142627. Williams, James H. Jr.; P.N. Kousiounelos (1981). "Numerical Stability and Convergence Criteria for Equations for Dynamic Fracture in DCB

Critical state soil mechanics (4,965 words) [view diff] exact match in snippet view article find links to article

in numerical analysis, especially finite element analysis, where numerical stability issues are important (as a curve needs to be continuous in order

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

implementation of the LogSumExp functions, this can be beneficial for numerical stability of the consensus point computation. We refer to existing implementation

Growth imperative (5,645 words) [view diff] exact match in snippet view article find links to article

Numerical stability analysis of Stock-Flow consistent models. For certain parameter values (here: interest rate and consumption out of wealth), zero growth

Eckhard Platen (1,614 words) [view diff] exact match in snippet view article find links to article

equations. With various co-authors, he made seminal contributions on numerical stability, and stochastic delay equations. Platen studied finance theory and

Lian-Ping Wang (1,914 words) [view diff] exact match in snippet view article find links to article

Boltzmann method implementation for moving boundaries, enhancing numerical stability and computational efficiency, including the first DNS of turbulent

Third medium contact method (2,372 words) [view diff] exact match in snippet view article find links to article

also introduced Gauss-Lobatto integration to TMC, improving upon numerical stability and thus allowing for stable solution with lower stiffness values

Normalization (machine learning) (4,740 words) [view diff] exact match in snippet view article

such as 10 − 9 {\displaystyle 10^{-9}} added to the variance for numerical stability, to avoid division by zero. Finally, it applies a linear transformation: