multistep method
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Linear multistep method — Adams method redirects here. For the electoral apportionment method, see Method of smallest divisors. Linear multistep methods are used for the numerical solution of ordinary differential equations. Conceptually, a numerical method starts from an … Wikipedia
Numerov's method — is a numerical method to solve ordinary differential equations of second order in which the first order term does not appear. It is a fourth order linear multistep method. The method is implicit, but can be made explicit if the differential… … Wikipedia
Crank–Nicolson method — In numerical analysis, the Crank–Nicolson method is a finite difference method used for numerically solving the heat equation and similar partial differential equations.[1] It is a second order method in time, implicit in time, and is numerically … Wikipedia
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
Semi-implicit Euler method — In mathematics, the semi implicit Euler method, also called symplectic Euler, semi explicit Euler, Euler–Cromer, and Newton–Størmer–Verlet (NSV), is a modification of the Euler method for solving Hamilton s equations, a system of ordinary… … Wikipedia
Heun's method — In mathematics and computational science, Heun s method may refer to the improved or modified Euler s method (that is, the explicit trapezoidal rule[1]), or a similar two stage Runge–Kutta method. It is named after Karl L. W. M. Heun and is a… … Wikipedia
Newmark-beta method — The Newmark beta method is a method of numerical integration used to solve differential equations. It is widely used in numerical evaluation of the dynamic response of structures and solids such as in finite element analysis to model dynamic… … Wikipedia
Euler method — In mathematics and computational science, the Euler method, named after Leonhard Euler, is a first order numerical procedure for solving ordinary differential equations (ODEs) with a given initial value. It is the most basic kind of explicit… … Wikipedia
Stiff equation — In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small. It has proven difficult to formulate a precise … Wikipedia
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
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
