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  • 65-XX Numerical analysis
  • 65Mxx Partial differential equations, initial value and time-dependent initial-boundary value problems
  • 65M75 Probabilistic methods, particle methods, etc.

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

  • 65M06 Finite difference methods
  • 65M08 Finite volume methods
  • 65M12 Stability and convergence of numerical methods
  • 65M15 Error bounds
  • 65M20 Method of lines
  • 65M22 Solution of discretized equations
  • 65M25 Method of characteristics
  • 65M30 Improperly posed problems
  • 65M32 Inverse problems
  • 65M38 Boundary element methods
  • 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
  • 65M75 Probabilistic methods, particle methods, etc.
  • 65M80 Fundamental solutions, Green's function methods, etc.
  • 65M85 Fictitious domain methods
  • 65M99 None of the above, but in this section
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