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midpoint rule

См. также в других словарях:

  • Midpoint method — For the midpoint rule in numerical quadrature, see rectangle method. Illustration of the midpoint method assuming that yn equals the exact value y(tn). The midpoint method computes yn + 1 …   Wikipedia

  • rule — Synonyms and related words: Aristotelian sorites, Goclenian sorites, Procrustean law, SOP, T square, a priori truth, acme, act, act on, administration, antetype, antitype, apothegm, appointment, apriorism, archetype, as a rule, ascendancy, assize …   Moby Thesaurus

  • Simpson's rule — can be derived by approximating the integrand f (x) (in blue) by the quadratic interpolant P (x) (in red). In numerical analysis, Simpson s rule is a method for numerical integration, the numerical approximation of definite integrals.… …   Wikipedia

  • Trapezoidal rule — This article is about the quadrature rule for approximating integrals. For the Explicit trapezoidal rule for solving initial value problems, see Heun s method. The function f(x) (in blue) is approximated by a linear function (in red). In… …   Wikipedia

  • Rapoport's rule — Rapoport’s rule is an ecological hypothesis that states that latitudinal ranges of plants and animals are generally smaller at low than at high latitudes. BackgroundStevens (1989) [Stevens, G. C. (1989). The latitudinal gradients in geographical… …   Wikipedia

  • Rectangle method — In mathematics, specifically in integral calculus, the rectangle method (also called the midpoint or mid ordinate rule) computes an approximation to a definite integral, made by finding the area of a collection of rectangles whose heights are… …   Wikipedia

  • Geometric integrator — In the mathematical field of numerical ODEs, a geometric integrator is a numerical method that preserves geometric properties of the exact flow of a differential equation.Pendulum exampleWe can motivate the study of geometric integrators by… …   Wikipedia

  • Numerical integration — consists of finding numerical approximations for the value S In numerical analysis, numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also… …   Wikipedia

  • Newton–Cotes formulas — In numerical analysis, the Newton–Cotes formulae, also called the Newton–Cotes quadrature rules or simply Newton–Cotes rules, are a group of formulae for numerical integration (also called quadrature) based on evaluating the integrand at equally… …   Wikipedia

  • Computational science — Not to be confused with computer science …   Wikipedia

  • Gibbs phenomenon — In mathematics, the Gibbs phenomenon (also known as ringing artifacts), named after the American physicist J. Willard Gibbs, is the peculiar manner in which the Fourier series of a piecewise continuously differentiable periodic function f behaves …   Wikipedia

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