65-00 General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to numerical analysis 155
65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis 2433
65C20 Probabilistic models, generic numerical methods in probability and statistics [See also 60-08, 62-08] 4828
65C30 Numerical solutions to stochastic differential and integral equations {For theoretical aspects, see 60H35} [See also 65M75, 65N75] 4668
65Dxx Numerical approximation and computational geometry (primarily algorithms) {For theoretical aspects, see 41-XX, 68Uxx} 40662
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry [See also 51N05, 68U05] 5618
65E05 General theory of numerical methods in complex analysis (potential theory, etc.) [See also 30-08, 31-08, 32-08] 1529
65H17 Numerical solution of nonlinear eigenvalue and eigenvector problems [See also 47Hxx, 47Jxx, 58C40, 58E07, 90C30] 664
65H20 Global methods, including homotopy approaches to the numerical solution of nonlinear equations [See also 58C30, 90C30] 850
65L11 Numerical solution of singularly perturbed problems involving ordinary differential equations 700
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations 3982
65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 62450
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 21504
65M08 Finite volume methods for initial value and initial-boundary value problems involving PDEs 3883
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 17916
65M22 Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs [See also 65Fxx, 65Hxx] 1180
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs 1352
65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs 1088
65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs 2505
65M38 Boundary element methods for initial value and initial-boundary value problems involving PDEs 551
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs 3230
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs 2630
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 15957
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 7169
65M75 Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs 1440
65M80 Fundamental solutions, Green’s function methods, etc. for initial value and initial-boundary value problems involving PDEs 314
65M85 Fictitious domain methods for initial value and initial-boundary value problems involving PDEs 116
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 11339
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs [See also 65Fxx, 65Hxx] 4430
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 30787
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs 5695
65N80 Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs 759