65-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis 143
65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis 2246
65-03 History of numerical analysis [Consider also classification numbers pertaining to Section 01-XX] 505
65C20 Probabilistic models, generic numerical methods in probability and statistics [See also 60-08, 62-08] 4475
65C30 Numerical solutions to stochastic differential and integral equations {For theoretical aspects, see 60H35} [See also 65M75, 65N75] 3610
65Dxx Numerical approximation and computational geometry (primarily algorithms) {For theoretical aspects, see 41-XX, 68Uxx} 35964
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry [See also 51N05, 68U05] 4953
65E05 General theory of numerical methods in complex analysis (potential theory, etc.) [See also 30-08, 31-08, 32-08] 1438
65H17 Numerical solution of nonlinear eigenvalue and eigenvector problems [See also 47Hxx, 47Jxx, 58C40, 58E07, 90C30] 598
65H20 Global methods, including homotopy approaches to the numerical solution of nonlinear equations [See also 58C30, 90C30] 774
65L11 Numerical solution of singularly perturbed problems involving ordinary differential equations 466
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations 3363
65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 49686
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 17072
65M08 Finite volume methods for initial value and initial-boundary value problems involving PDEs 2903
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 14206
65M22 Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs [See also 65Fxx, 65Hxx] 693
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs 1199
65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs 936
65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs 1904
65M38 Boundary element methods for initial value and initial-boundary value problems involving PDEs 386
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs 2867
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs 2248
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 12518
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 5603
65M75 Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs 1073
65M80 Fundamental solutions, Green’s function methods, etc. for initial value and initial-boundary value problems involving PDEs 228
65M85 Fictitious domain methods for initial value and initial-boundary value problems involving PDEs 96
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs [See also 65Fxx, 65Hxx] 3993
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 25723
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs 4808
65N80 Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs 584