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finite-difference method

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  • Finite difference method — In mathematics, finite difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Intuitive derivation Finite difference methods approximate the …   Wikipedia

  • finite difference method —    A numerical method used to approximate the solution of partial differential equations [16] …   Lexicon of Cave and Karst Terminology

  • Finite element method — The finite element method (FEM) (sometimes referred to as finite element analysis) is a numerical technique for finding approximate solutions of partial differential equations (PDE) as well as of integral equations. The solution approach is based …   Wikipedia

  • Finite volume method — The finite volume method is a method for representing and evaluating partial differential equations as algebraic equations. Similar to the finite difference method, values are calculated at discrete places on a meshed geometry. Finite volume… …   Wikipedia

  • Finite difference — A finite difference is a mathematical expression of the form f(x + b) − f(x + a). If a finite difference is divided by b − a, one gets a difference quotient. The approximation of derivatives by finite differences… …   Wikipedia

  • Finite-difference time-domain method — Finite difference time domain (FDTD) is a popular computational electrodynamics modeling technique. It is considered easy to understand and easy to implement in software. Since it is a time domain method, solutions can cover a wide frequency… …   Wikipedia

  • Finite Difference Time Domain — (FDTD, englisch für Finite Differenzen Methode im Zeitbereich) ist ein mathematisches Verfahren zur direkten Integration zeitabhängiger Differentialgleichungen. Vor allem zur Berechnung der Lösungen der Maxwell Gleichungen wird dieses Verfahren… …   Deutsch Wikipedia

  • Finite-difference frequency-domain — The finite difference frequency domain (FDFD) is a numerical solution for problems usually in electromagnetism. The method is, of course, based on finite difference approximations of the derivative operators in the differential equation being… …   Wikipedia

  • Différence finie — En mathématique, une différence finie est une expression de la forme f(x + b) − f(x + a). (où f est une fonction numérique) ; la même expression divisée par b − a s appelle un taux d accroissement (ou taux de… …   Wikipédia en Français

  • Method of lines — The method of lines (MOL, NMOL, NUMOL) (Schiesser, 1991; Hamdi, et al., 2007; Schiesser, 2009 ) is a technique for solving partial differential equations (PDEs) in which all but one dimension is discretized. MOL allows standard, general purpose… …   Wikipedia

  • Difference quotient — The primary vehicle of calculus and other higher mathematics is the function. Its input value is its argument, usually a point ( P ) expressible on a graph. The difference between two points, themselves, is known as their Delta (ΔP), as is the… …   Wikipedia

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