Mathematics Subject Classification 1991

65-XX Numerical analysis ( 0 Dok.)

• 65-00 General reference works (handbooks, dictionaries, bibliographies, etc.) ( 0 Dok.)
• 65-01 Instructional exposition (textbooks, tutorial papers, etc.) ( 0 Dok.)
• 65-02 Research exposition (monographs, survey articles) ( 0 Dok.)
• 65-03 Historical (must be assigned at least one classification number from Section 01) ( 0 Dok.)
• 65-04 Explicit machine computation and programs (not the theory of computation or programming) ( 0 Dok.)
• 65-05 Experimental papers ( 0 Dok.)
• 65-06 Proceedings, conferences, collections, etc. ( 0 Dok.)
• 65A05 Tables ( 0 Dok.)
• 65Bxx Acceleration of convergence ( 0 Dok. )
• 65B05 Extrapolation to the limit, deferred corrections ( 0 Dok.)
• 65B10 Summation of series ( 0 Dok.)
• 65B15 Euler-Maclaurin formula ( 0 Dok.)
• 65B99 None of the above but in this section ( 0 Dok.)
• 65Cxx Numerical simulation, {For theoretical aspects, See 68U20} ( 0 Dok. )
• 65C05 Monte Carlo methods ( 0 Dok.)
• 65C10 Random number generation ( 0 Dok.)
• 65C20 Models, numerical methods ( 0 Dok.)
• 65C99 None of the above but in this section ( 0 Dok.)
• 65Dxx Numerical approximation, {Primarily algorithms; for theory, See 41-XX} ( 0 Dok. )
• 65D05 Interpolation ( 0 Dok.)
• 65D07 Splines ( 0 Dok.)
• 65D10 Smoothing, curve fitting ( 0 Dok.)
• 65D15 Algorithms for functional approximation ( 0 Dok.)
• 65D17 Computer aided design (modeling of curves and surfaces), See also {68U05} ( 0 Dok.)
• 65D20 Computation of special functions, construction of tables ( 0 Dok.)
• 65D25 Numerical differentiation ( 0 Dok.)
• 65D30 Numerical integration ( 0 Dok.)
• 65D32 Quadrature and cubature formulas ( 0 Dok.)
• 65D99 None of the above but in this section ( 0 Dok.)
• 65E05 Numerical methods in complex analysis (potential theory, etc.), {For numerical methods in conformal mapping, See 30C30} ( 0 Dok.)
• 65Fxx Numerical linear algebra ( 0 Dok. )
• 65F05 Direct methods for linear systems and matrix inversion ( 0 Dok.)
• 65F10 Iterative methods for linear systems, See also {65N22} ( 0 Dok.)
• 65F15 Eigenvalues, eigenvectors ( 0 Dok.)
• 65F20 Overdetermined systems, pseudoinverses ( 0 Dok.)
• 65F25 Orthogonalization ( 0 Dok.)
• 65F30 Other matrix algorithms ( 0 Dok.)
• 65F35 Matrix norms, conditioning, scaling, See also {15A12, 15A60} ( 0 Dok.)
• 65F40 Determinants ( 0 Dok.)
• 65F50 Sparse matrices ( 0 Dok.)
• 65F99 None of the above but in this section ( 0 Dok.)
• 65Gxx Error analysis ( 0 Dok. )
• 65G05 Roundoff error ( 0 Dok.)
• 65G10 Interval and finite arithmetic ( 0 Dok.)
• 65G99 None of the above but in this section ( 0 Dok.)
• 65Hxx Nonlinear algebraic or transcendental equations ( 0 Dok. )
• 65H05 Single equations ( 0 Dok.)
• 65H10 Systems of equations ( 0 Dok.)
• 65H17 Eigenvalues, eigenvectors and bifurcation problems, See also {58C40, 58E07, 58F14, 90C30} ( 0 Dok.)
• 65H20 Global methods, including homotopy approaches, See Also { 58C30, 90C30} ( 0 Dok.)
• 65H99 None of the above but in this section ( 0 Dok.)
• 65Jxx Numerical analysis in abstract spaces ( 0 Dok. )
• 65J05 General theory ( 0 Dok.)
• 65J10 Equations with linear operators (do not use 65Fxx) ( 0 Dok.)
• 65J15 Equations with nonlinear operators (do not use 65Hxx) ( 0 Dok.)
• 65J20 Improperly posed problems ( 0 Dok.)
• 65J99 None of the above but in this section ( 0 Dok.)
• 65Kxx Mathematical programming, optimization and variational techniques ( 0 Dok. )
• 65K05 Mathematical programming, See also {90Cxx} ( 0 Dok.)
• 65K10 Optimization and variational techniques, See also {49Mxx, 93B40} ( 0 Dok.)
• 65K99 None of the above but in this section ( 0 Dok.)
• 65Lxx Ordinary differential equations ( 0 Dok. )
• 65L05 Initial value problems ( 0 Dok.)
• 65L06 Multistep, Runge-Kutta and extrapolation methods ( 0 Dok.)
• 65L07 Numerical investigation of stability of solutions ( 0 Dok.)
• 65L08 Improperly posed problems ( 0 Dok.)
• 65L10 Boundary value problems ( 0 Dok.)
• 65L12 Finite difference methods ( 0 Dok.)
• 65L15 Eigenvalue problems ( 0 Dok.)
• 65L20 Stability of numerical methods ( 0 Dok.)
• 65L50 Mesh generation and refinement ( 0 Dok.)
• 65L60 Finite elements, Rayleigh-Ritz, Galerkin and collocation methods ( 0 Dok.)
• 65L70 Error bounds ( 0 Dok.)
• 65L99 None of the above but in this section ( 0 Dok.)
• 65Mxx Partial differential equations, initial value and time-dependent initial-boundary value problems ( 0 Dok. )
• 65M06 Finite difference methods ( 0 Dok.)
• 65M12 Stability and convergence of numerical methods ( 0 Dok.)
• 65M15 Error bounds ( 0 Dok.)
• 65M20 Method of lines ( 0 Dok.)
• 65M25 Method of characteristics ( 0 Dok.)
• 65M30 Improperly posed problems ( 0 Dok.)
• 65M50 Mesh generation and refinement ( 0 Dok.)
• 65M55 Multigrid methods; domain decomposition ( 0 Dok.)
• 65M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods ( 0 Dok.)
• 65M70 Spectral, collocation and related methods ( 0 Dok.)
• 65M99 None of the above but in this section ( 0 Dok.)
• 65Nxx Partial differential equations, boundary value problems ( 0 Dok. )
• 65N06 Finite difference methods ( 0 Dok.)
• 65N12 Stability and convergence of numerical methods ( 0 Dok.)
• 65N15 Error bounds ( 0 Dok.)
• 65N22 Solution of discretized equations, See also {65Fxx, 65Hxx} ( 0 Dok.)
• 65N25 Eigenvalue problems ( 0 Dok.)
• 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods ( 0 Dok.)
• 65N35 Spectral, collocation and related methods ( 0 Dok.)
• 65N38 Boundary element methods ( 0 Dok.)
• 65N40 Method of lines ( 0 Dok.)
• 65N45 Method of contraction of the boundary ( 0 Dok.)
• 65N50 Mesh generation and refinement ( 0 Dok.)
• 65N55 Multigrid methods; domain decomposition ( 0 Dok.)
• 65N99 None of the above but in this section ( 0 Dok.)
• 65P05 Partial differential equations, miscellaneous problems ( 0 Dok.)
• 65Q05 Difference and functional equations, recurrence relations ( 0 Dok.)
• 65Rxx Integral equations, integral transforms, See also {45Lxx} ( 0 Dok. )
• 65R10 Integral transforms ( 0 Dok.)
• 65R20 Integral equations ( 0 Dok.)
• 65R30 Improperly posed problems ( 0 Dok.)
• 65R99 None of the above but in this section ( 0 Dok.)
• 65S05 Graphical methods ( 0 Dok.)
• 65Txx Numerical methods in Fourier analysis ( 0 Dok. )
• 65T10 Trigonometric approximation and interpolation ( 0 Dok.)
• 65T20 Discrete and fast Fourier transforms ( 0 Dok.)
• 65T99 None of the above but in this section ( 0 Dok.)
• 65U05 Numerical methods in probability and statistics ( 0 Dok.)
• 65Yxx Computer aspects of numerical algorithms ( 0 Dok. )
• 65Y05 Parallel computation ( 0 Dok.)
• 65Y10 Algorithms for specific classes of architectures ( 0 Dok.)
• 65Y15 Packaged methods ( 0 Dok.)
• 65Y20 Complexity and performance of numerical algorithms, See also {68Q25} ( 0 Dok.)
• 65Y25 Computer graphics and computational geometry, See Also {51N05, 68U05} ( 0 Dok.)
• 65Y99 None of the above but in this section ( 0 Dok.)