65-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis 146
65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis 2356
65C20 Probabilistic models, generic numerical methods in probability and statistics [See also 60-08, 62-08] 4606
65C30 Numerical solutions to stochastic differential and integral equations {For theoretical aspects, see 60H35} [See also 65M75, 65N75] 4114
65Dxx Numerical approximation and computational geometry (primarily algorithms) {For theoretical aspects, see 41-XX, 68Uxx} 38365
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry [See also 51N05, 68U05] 5300
65E05 General theory of numerical methods in complex analysis (potential theory, etc.) [See also 30-08, 31-08, 32-08] 1466
65H17 Numerical solution of nonlinear eigenvalue and eigenvector problems [See also 47Hxx, 47Jxx, 58C40, 58E07, 90C30] 634
65H20 Global methods, including homotopy approaches to the numerical solution of nonlinear equations [See also 58C30, 90C30] 818
65L11 Numerical solution of singularly perturbed problems involving ordinary differential equations 609
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations 3744
65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 56439
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 19439
65M08 Finite volume methods for initial value and initial-boundary value problems involving PDEs 3327
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 16195
65M22 Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs [See also 65Fxx, 65Hxx] 956
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs 1283
65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs 1044
65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs 2258
65M38 Boundary element methods for initial value and initial-boundary value problems involving PDEs 464
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs 3056
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs 2458
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 14181
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 6427
65M75 Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs 1231
65M80 Fundamental solutions, Green’s function methods, etc. for initial value and initial-boundary value problems involving PDEs 269
65M85 Fictitious domain methods for initial value and initial-boundary value problems involving PDEs 106
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 10429
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs [See also 65Fxx, 65Hxx] 4202
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 28168
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs 5222
65N80 Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs 696