numerical instability

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• Numerical ordinary differential equations — Illustration of numerical integration for the differential equation y = y,y(0) = 1. Blue: the Euler method, green: the midpoint method, red: the exact solution, y = et. The step size is h = 1.0 …   Wikipedia

• Numerical stability — In the mathematical subfield of numerical analysis, numerical stability is a desirable property of numerical algorithms. The precise definition of stability depends on the context, but it is related to the accuracy of the algorithm. A related… …   Wikipedia

• Kelvin–Helmholtz instability — Numerical simulation of a temporal Kelvin–Helmholtz instability The Kelvin–Helmholtz instability, after Lord Kelvin and Hermann von Helmholtz, can occur when velocity shear is present within a continuous fluid, or when there is sufficient… …   Wikipedia

• Rayleigh–Taylor instability — The Rayleigh–Taylor instability, or RT instability (after Lord Rayleigh and G. I. Taylor), is an instability of an interface between two fluids of different densities, which occurs when the lighter fluid is pushing the heavier fluid. [citation… …   Wikipedia

• Leslie Fox Prize for Numerical Analysis — The Leslie Fox Prize for Numerical Analysis of the Institute of Mathematics and its Applications (IMA) is a biennial prize established in 1985 by the IMA in honour of mathematician Leslie Fox (1918 1992). The prize honours young numerical… …   Wikipedia

• Meteorology — For other uses of the root word meteor , see Meteor (disambiguation). For the work by Aristotle, see Meteorology (Aristotle). Not to be confused with Metrology. Part of the Nature series on Weather   …   Wikipedia

• Energy drift — In molecular dynamics, orbit, and particle simulations, energy drift is the gradual change in the total energy of a closed system. According to the laws of mechanics, the energy should be a constant of motion and should not change. However, the… …   Wikipedia

• Splitting circle method — In mathematics, the splitting circle method is a numerical algorithm for the numerical factorization of a polynomial and, ultimately, for finding its complex roots. It was introduced by Arnold Schönhage in his 1982 paper The fundamental theorem… …   Wikipedia

• Mathematical model — Not to be confused with the same term that is used in model theory, a branch of mathematical logic. An artifact that is used to illustrate a mathematical idea may also be called a mathematical model, the usage of which is the reverse of the sense …   Wikipedia

• Well-posed problem — The mathematical term well posed problem stems from a definition given by Hadamard. He believed that mathematical models of physical phenomena should have the properties that # A solution exists # The solution is unique # The solution depends… …   Wikipedia

• Wallenius' noncentral hypergeometric distribution — Introduction Probability mass function for Wallenius Noncentral Hypergeometric Distribution for different values of the odds ratio ω. m1 = 80, m2 = 60, n = 100, ω = 0.1 ... 20In probability theory and statistics, Wallenius noncentral… …   Wikipedia