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method of finite differences

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  • Method of difference — may refer to: The method of finite differences, used in the difference engine One of Mill s methods in inductive reasoning; or A mathematical way of finding the value of telescoping sums. This disambiguation page lists articles associated with… …   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 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 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

  • 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

  • Method of increments — Increment In cre*ment, n. [L. incrementum: cf. F. incr[ e]ment. See {Increase}.] [1913 Webster] 1. The act or process of increasing; growth in bulk, guantity, number, value, or amount; augmentation; enlargement. [1913 Webster] The seminary that… …   The Collaborative International Dictionary of English

  • Divided differences — In mathematics divided differences is a recursive division process. The method can be used to calculate the coefficients in the interpolation polynomial in the Newton form. Contents 1 Definition 2 Notation 3 Example …   Wikipedia

  • Reassignment method — The method of reassignment is a technique forsharpening a time frequency representation by mappingthe data to time frequency coordinates that are nearer tothe true region of support of theanalyzed signal. The method has been… …   Wikipedia

  • Material Point Method — The Material Point Method (MPM), is an extension of the Particle in cell (PIC) Method in computational fluid dynamics to computational solid dynamics, and is a Finite element method (FEM) based particle method. It is primarily used for multiphase …   Wikipedia

  • MacCormack method — In computational fluid dynamics, the MacCormack method is a widely used discretization scheme for the numerical solution of hyperbolic partial differential equations (hyperbolic PDEs). This second order finite difference method is introduced by R …   Wikipedia

  • Conjugate gradient method — A comparison of the convergence of gradient descent with optimal step size (in green) and conjugate vector (in red) for minimizing a quadratic function associated with a given linear system. Conjugate gradient, assuming exact arithmetic,… …   Wikipedia

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