Mathematical Sciences Classification System
65Mxx - Partial differential equations, initial value and time-dependent initial-boundary value problems
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65M06Finite difference methods
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65M08Finite volume methods
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65M12Stability and convergence of numerical methods
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65M15Error bounds
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65M20Method of lines
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65M22Solution of discretized equations [See also 65Fxx, 65Hxx]
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65M25Method of characteristics
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65M30Improperly posed problems
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65M32Inverse problems
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65M38Boundary element methods
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65M50Mesh generation and refinement
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65M55Multigrid methods; domain decomposition
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65M60Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
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65M70Spectral, collocation and related methods
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65M75Probabilistic methods, particle methods, etc.
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65M80Fundamental solutions, Green's function methods, etc.
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65M85Fictitious domain methods
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65M99None of the above, but in this section