high-order Godunov method

См. также в других словарях:

• 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

• Godunov's theorem — Godunov s theorem, also known as Godunov s order barrier theorem, is a mathematical theorem important in the development of the theory of high resolution schemes for the numerical solution of partial differential equations.Professor Sergei K.… …   Wikipedia

• Spectral method — Spectral methods are a class of techniques used in applied mathematics and scientific computing to numerically solve certain Dynamical Systems, often involving the use of the Fast Fourier Transform. Where applicable, spectral methods have… …   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

• 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

• Discontinuous Galerkin method — Discontinuous Galerkin methods (DG methods) in mathematics form a class of numerical methods for solving partial differential equations. They combine features of the finite element and the finite volume framework and have been successfully… …   Wikipedia

• Monte Carlo method — Not to be confused with Monte Carlo algorithm. Computational physics …   Wikipedia

• Schwarz alternating method — In mathematics, the Schwarz alternating method, named after Hermann Schwarz, is an iterative method to find the solution of a partial differential equations on a domain which is the union of two overlapping subdomains, by solving the equation on… …   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

• 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

• Flux limiter — Flux limiters are used in high resolution schemes mdash; numerical schemes used to solve problems in science and engineering, particularly fluid dynamics, described by partial differential equations (PDE s). They are used in high resolution… …   Wikipedia