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Numerical method - Wikipedia In numerical analysis, a numerical method is a mathematical tool designed to solve numerical problems The implementation of a numerical method with an appropriate convergence check in a programming language is called a numerical algorithm
Numerical analysis - Wikipedia [1] Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics) It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones
Numerical Recipes - Wikipedia The Numerical Recipes books cover a range of topics that include both classical numerical analysis (interpolation, integration, linear algebra, differential equations, and so on), signal processing (Fourier methods, filtering), statistical treatment of data, and a few topics in machine learning (hidden Markov model, support vector machines)
Numerical methods for ordinary differential equations - Wikipedia The step size is The same illustration for The midpoint method converges faster than the Euler method, as Numerical methods for ordinary differential equations are methods used to find numerical approximations to the solutions of ordinary differential equations (ODEs) Their use is also known as "numerical integration", although this term can also refer to the computation of integrals
Direct multiple shooting method - Wikipedia In the area of mathematics known as numerical ordinary differential equations, the direct multiple shooting method is a numerical method for the solution of boundary value problems The method divides the interval over which a solution is sought into several smaller intervals, solves an initial value problem in each of the smaller intervals, and imposes additional matching conditions to form a
Runge–Kutta–Fehlberg method - Wikipedia Runge–Kutta–Fehlberg method In mathematics, the Runge–Kutta–Fehlberg method (or Fehlberg method) is an algorithm in numerical analysis for the numerical solution of ordinary differential equations It was developed by the German mathematician Erwin Fehlberg and is based on the large class of Runge–Kutta methods
Shooting method - Wikipedia In numerical analysis, the shooting method is a method for solving a boundary value problem by reducing it to an initial value problem It involves finding solutions to the initial value problem for different initial conditions until one finds the solution that also satisfies the boundary conditions of the boundary value problem
Predictor–corrector method - Wikipedia Predictor–corrector methods for solving ODEs When considering the numerical solution of ordinary differential equations (ODEs), a predictor–corrector method typically uses an explicit method for the predictor step and an implicit method for the corrector step