65XX 


Numerical analysis 

65Mxx 

Partial differential equations, initial value and timedependent initialboundary 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 [See also 65Fxx, 65Hxx] 


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, RayleighRitz 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 