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Mathematical Sciences Classification System

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

• 21
  65M06
  Finite difference methods
• 65M08
  Finite volume methods
• 12
  65M12
  Stability and convergence of numerical methods
• 11
  65M15
  Error bounds
• 1
  65M20
  Method of lines
• 2
  65M22
  Solution of discretized equations [See also 65Fxx, 65Hxx]
• 65M25
  Method of characteristics
• 3
  65M30
  Improperly posed problems
• 15
  65M32
  Inverse problems
• 3
  65M38
  Boundary element methods
• 3
  65M50
  Mesh generation and refinement
• 5
  65M55
  Multigrid methods; domain decomposition
• 30
  65M60
  Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
• 6
  65M70
  Spectral, collocation and related methods
• 1
  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