subfield of numerical analysis, numerical stability is a generally desirable property of numerical algorithms. The precise definition of stability depends...

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

In numerical analysis, von Neumann stability analysis (also known as Fourier stability analysis) is a procedure used to check the stability of finite difference...

usually use Lyapunov stability. Focusing on the biotic components of an ecosystem, a population, or a community possesses numerical stability if the number of...

distributions Stability (learning theory), a property of machine learning algorithms Stability, a property of sorting algorithms Numerical stability, a property...

numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. It is the most basic explicit method for numerical...

In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process or Gram-Schmidt algorithm is a way of finding a set of two...

extra brackets indicate the order of operations required to achieve numerical stability in the evaluation. Three other formulae for the area of a general...

eigenvalue problem, of which the Roothaan–Hall equations are an example. Numerical stability can be a problem with this procedure and there are various ways of...

Slope stability analysis is a static or dynamic, analytical or empirical method to evaluate the stability of slopes of soil- and rock-fill dams, embankments...

computing a small number of selected frequency components, it is more numerically efficient. The simple structure of the Goertzel algorithm makes it well...

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

lightness prediction, color blending, and usability while ensuring numerical stability and ease of implementation. Introduced by Björn Ottosson in December...

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...

algorithm can be very fast for sparse matrices. Schemes for improving numerical stability are typically judged against this high performance. The vectors v...

suffers from slow convergence. The block size can be tuned to balance numerical stability vs. convergence speed vs. computer costs of orthogonalizations and...

Numerical weather prediction (NWP) uses mathematical models of the atmosphere and oceans to predict the weather based on current weather conditions. Though...

Krauter; H. Klapperich; R. Pöttler (eds.). Advanced numerical techniques in rock slope stability analysis - Applications and limitations (PDF). UEF International...

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

constitutes a significant improvement in distribution of nonlinearity and numerical stability over single shooting methods. Shooting methods can be used to solve...

times these additional operations are worthwhile because they add numerical stability to the final result. In the case of Gaussian elimination, the algorithm...

Zero-stability, also known as D-stability in honor of Germund Dahlquist, refers to the stability of a numerical scheme applied to the simple initial value...

the latter have been shown to be weakly stable (i.e. they exhibit numerical stability for well-conditioned linear systems). The algorithms can also be...

asymptotic complexity, Strassen's algorithm is used in practice. The numerical stability is reduced compared to the naive algorithm, but it is faster in cases...

(mathematics) Round-off error Kahan summation algorithm Numerical sign problem Accuracy and Stability of Numerical Algorithms, Nicholas J. Higham, ISBN 0-89871-355-2...

dissipation-free numerical wave propagation. On the minus side, this scheme mandates an upper bound on the time-step to ensure numerical stability. As a result...

also called Størmer's method). The Verlet integrator provides good numerical stability, as well as other properties that are important in physical systems...

called backward stability; in general, a backward stable algorithm can be expected to accurately solve well-conditioned problems. Numerical analysis textbooks...

element Loss of significance Numerical error Numerical stability Error propagation: Propagation of uncertainty Residual (numerical analysis) Relative change...

AF. In numerical analysis the amplification factor is a number derived using Von Neumann stability analysis to determine stability of a numerical scheme...