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

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

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

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...

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...

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...

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

} The brackets in the above formula are required in order to prevent numerical instability in the evaluation. Three other formulae for the area of a...

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

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...

and vulnerable to numerical-error accumulation when computed using low-precision arithmetic and long input sequences. A numerically stable version was...

measure it as 4.5 cm). In the mathematical field of numerical analysis, the numerical stability of an algorithm indicates the extent to which errors...

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...

(consistently requires twice as many arithmetic operations and has the same numerical stability when the same permutation matrices are applied). Consider a system...

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

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

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

analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral. The term numerical quadrature...

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

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

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...

is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be...

"artificial dissipation" is intentionally added to improve the numerical stability characteristics of the solution. A formal, mathematical definition...

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...

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

The stability of the Solar System is a subject of much inquiry in astronomy. Though the planets have historically been stable as observed, and will be...

events' probabilities. Accuracy. The use of log probabilities improves numerical stability, when the probabilities are very small, because of the way in which...

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

Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations...