Neumann–Dirichlet method — In mathematics, the Neumann–Dirichlet method is a domain decomposition preconditioner which involves solving Neumann boundary value problem on one subdomain and Dirichlet boundary value problem on another, adjacent across the interface between… … Wikipedia
Neumann-Neumann methods — are domain decomposition preconditioners named so because they solve a Neumann problem on each subdomain on both sides of the interface between the subdomains. A. Klawonn and O. B. Widlund, FETI and Neumann Neumann iterative substructuring… … Wikipedia
Neumann–Neumann methods — In mathematics, Neumann–Neumann methods are domain decomposition preconditioners named so because they solve a Neumann problem on each subdomain on both sides of the interface between the subdomains.[1] Just like all domain decomposition methods … 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
Schur complement method — The Schur complement method is the basic and the earliest version of non overlapping domain decomposition method, also called iterative substructuring. A finite element problem is split into non overlapping subdomains, and the unknowns in the… … 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
Multigrid method — Multigrid (MG) methods in numerical analysis are a group of algorithms for solving differential equations using a hierarchy of discretizations. They are an example of a class of techniques called multiresolution methods, very useful in (but not… … 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
Collocation method — In mathematics, a collocation method is a method for the numerical solution of ordinary differential equations, partial differential equations and integral equations. The idea is to choose a finite dimensional space of candidate solutions… … 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
