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65Mxx - Partial differential equations, initial value and time-dependent initial-boundary value problems

65M06 - Finite difference methods
65M12 - Stability and convergence of numerical methods
65M15 - Error bounds
65M20 - Method of lines
65M25 - Method of characteristics
65M30 - Improperly posed problems
65M32 - Inverse problems
65M50 - Mesh generation and refinement
65M55 - Multigrid methods; domain decomposition
65M60 - Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
65M70 - Spectral, collocation and related methods
65M99 - Miscellaneous
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