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 2316
65C20 Probabilistic models, generic numerical methods in probability and statistics [See also 60-08, 62-08] 4572
65C30 Numerical solutions to stochastic differential and integral equations {For theoretical aspects, see 60H35} [See also 65M75, 65N75] 3911
65Dxx Numerical approximation and computational geometry (primarily algorithms) {For theoretical aspects, see 41-XX, 68Uxx} 37468
65D18 Numerical aspects of computer graphics, image analysis, and computational geometry [See also 51N05, 68U05] 5177
65E05 General theory of numerical methods in complex analysis (potential theory, etc.) [See also 30-08, 31-08, 32-08] 1457
65H17 Numerical solution of nonlinear eigenvalue and eigenvector problems [See also 47Hxx, 47Jxx, 58C40, 58E07, 90C30] 618
65H20 Global methods, including homotopy approaches to the numerical solution of nonlinear equations [See also 58C30, 90C30] 807
65L11 Numerical solution of singularly perturbed problems involving ordinary differential equations 554
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations 3613
65Mxx Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems 54179
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 18529
65M08 Finite volume methods for initial value and initial-boundary value problems involving PDEs 3187
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 15466
65M22 Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs [See also 65Fxx, 65Hxx] 871
65M25 Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs 1248
65M30 Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs 1013
65M32 Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs 2182
65M38 Boundary element methods for initial value and initial-boundary value problems involving PDEs 452
65M50 Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs 2973
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs 2362
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 13555
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs 6157
65M75 Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs 1191
65M80 Fundamental solutions, Green’s function methods, etc. for initial value and initial-boundary value problems involving PDEs 260
65M85 Fictitious domain methods for initial value and initial-boundary value problems involving PDEs 102
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs 10083
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs [See also 65Fxx, 65Hxx] 4144
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 27251
65N50 Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs 5047
65N80 Fundamental solutions, Green’s function methods, etc. for boundary value problems involving PDEs 668