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numerical stability

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  • 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

  • Stability — can refer to: *Aircraft flight Stability (aircraft) *In atmospheric fluid dynamics, atmospheric stability, a measure of the turbulence in the ambient atmosphere *BIBO stability (Bounded Input, Bounded Output stability), in signal processing and… …   Wikipedia

  • Numerical analysis — Babylonian clay tablet BC 7289 (c. 1800–1600 BC) with annotations. The approximation of the square root of 2 is four sexagesimal figures, which is about six decimal figures. 1 + 24/60 + 51/602 + 10/603 = 1.41421296...[1] Numerical analysis is the …   Wikipedia

  • Numerical weather prediction — Weather models use systems of differential equations based on the laws of …   Wikipedia

  • Numerical relativity — is one of the branches of general relativity that uses numerical methods and algorithms to solve and analyze problems. To this end, supercomputers are often employed to study black holes, gravitational waves, neutron stars and many other… …   Wikipedia

  • Numerical continuation — is a method of computing approximate solutions of a system of parameterized nonlinear equations, The parameter λ is usually a real scalar, and the solution an n vector. For a fixed parameter value λ,, maps Euclidean n space into itself. Often the …   Wikipedia

  • numerical analysis — the branch of mathematics dealing with methods for obtaining approximate numerical solutions of mathematical problems. [1925 30] * * * Branch of applied mathematics that studies methods for solving complicated equations using arithmetic… …   Universalium

  • 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

  • Stability of the Solar System — The stability of the Solar System is a subject of much inquiry in astronomy. The Solar System is chaotic,cite journal title=Large scale chaos in the solar system author=J. Laskar journal=Astronomy and Astrophysics volume=287 pages=L9 ndash;L12… …   Wikipedia

  • Numerical error — In software engineering and mathematics, numerical error is the combined effect of two kinds of error in a calculation. The first is caused by the finite precision of computations involving floating point or integer values. The second usually… …   Wikipedia

  • List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

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