finite-difference scheme

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• Nonstandard finite difference scheme — Nonstandard finite difference schemes is a general set of methods in numerical analysis that gives numerical solutions to differential equations by constructing a discrete model. The general rules for such schemes are not precisely known.[1] [2]… …   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 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 — 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 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

• Upwind scheme — In computational fluid dynamics, the upwind schemes are any of a class of discretization methods to solve hyperbolic partial differential equations numerically. The wave equation, the advection equation, the Euler equations in fluid dynamics, etc …   Wikipedia

• MUSCL scheme — MUSCL stands for Monotone Upstream centered Schemes for Conservation Laws , and the term was introduced in a seminal paper by Bram van Leer (van Leer, 1979). In this paper he constructed the first high order , total variation diminishing (TVD)… …   Wikipedia

• Godunov's scheme — is a conservative numerical scheme, suggested by S. K. Godunov in 1959, for solving partial differential equations. In this method, the conservative variables are considered as piecewise constant over the mesh cells at each time step and the time …   Wikipedia

• Glossary of scheme theory — This is a glossary of scheme theory. For an introduction to the theory of schemes in algebraic geometry, see affine scheme, projective space, sheaf and scheme. The concern here is to list the fundamental technical definitions and properties of… …   Wikipedia

• List of mathematics articles (N) — NOTOC N N body problem N category N category number N connected space N dimensional sequential move puzzles N dimensional space N huge cardinal N jet N Mahlo cardinal N monoid N player game N set N skeleton N sphere N! conjecture Nabla symbol… …   Wikipedia

• Sparse grid — Sparse grids are a numerical technique to represent, integrate or interpolate high dimensional functions. They were originally found by the Russian mathematician Smolyak and are based on a sparse tensor product construction. Computer algorithms… …   Wikipedia