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Biblioteca Dr. Antonio Monteiro · Catálogo |
| 65 | Numerical analysis | ||
| 65-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
| 65-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
| 65-02 | Research exposition (monographs, survey articles) | ||
| 65-03 | Historical | ||
| 65-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
| 65-05 | Experimental papers | ||
| 65-06 | Proceedings, conferences, collections, etc. | ||
| 65-99 | Numerical analysis (not classified at a more specific level) | ||
| 65A05 | Tables | ||
| 65B | Acceleration of convergence | ||
| 65B05 | Extrapolation to the limit, deferred corrections | ||
| 65B10 | Summation of series | ||
| 65B15 | Euler-Maclaurin formula | ||
| 65B99 | None of the above, but in this section | ||
| 65C | Probabilistic methods, simulation and stochastic differential equations {For theoretical aspects, see 68U20 and 60H35} | ||
| 65C05 | Monte Carlo methods | ||
| 65C10 | Random number generation | ||
| 65C20 | Models, numerical methods [See also 68U20] | ||
| 65C30 | Stochastic differential and integral equations | ||
| 65C35 | Stochastic particle methods [See also 82C80] | ||
| 65C40 | Computational Markov chains | ||
| 65C50 | Other computational problems in probability | ||
| 65C60 | Computational problems in statistics | ||
| 65C99 | None of the above, but in this section | ||
| 65D | Numerical approximation and computational geometry {Primarily algorithms; for theory, see 41-XX and 68Uxx} | ||
| 65D05 | Interpolation | ||
| 65D07 | Splines | ||
| 65D10 | Smoothing, curve fitting | ||
| 65D15 | Algorithms for functional approximation | ||
| 65D17 | Computer aided design (modeling of curves and surfaces) [See also 68U07] | ||
| 65D18 | Computer graphics and computational geometry [See also 51N05, 68U05] | ||
| 65D20 | Computation of special functions, construction of tables [See also 33F05] | ||
| 65D25 | Numerical differentiation | ||
| 65D30 | Numerical integration | ||
| 65D32 | Quadrature and cubature formulas | ||
| 65D99 | None of the above, but in this section | ||
| 65E05 | Numerical methods in complex analysis (potential theory, etc.) {For numerical methods in conformal mapping, see 30C30} | ||
| 65F | Numerical linear algebra | ||
| 65F05 | Direct methods for linear systems and matrix inversion | ||
| 65F10 | Iterative methods for linear systems [See also 65N22] | ||
| 65F15 | Eigenvalues, eigenvectors | ||
| 65F18 | Inverse eigenvalue problems | ||
| 65F20 | Overdetermined systems, pseudoinverses | ||
| 65F22 | Ill-posedness, regularization | ||
| 65F25 | Orthogonalization | ||
| 65F30 | Other matrix algorithms | ||
| 65F35 | Matrix norms, conditioning, scaling [See also 15A12, 15A60] | ||
| 65F40 | Determinants | ||
| 65F50 | Sparse matrices | ||
| 65F99 | None of the above, but in this section | ||
| 65G | Error analysis and interval analysis | ||
| 65G20 | Algorithms with automatic result verification | ||
| 65G30 | Interval and finite arithmetic | ||
| 65G40 | General methods in interval analysis | ||
| 65G50 | Roundoff error | ||
| 65G99 | None of the above, but in this section | ||
| 65H | Nonlinear algebraic or transcendental equations | ||
| 65H05 | Single equations | ||
| 65H10 | Systems of equations | ||
| 65H17 | Eigenvalues, eigenvectors [See also 47Hxx, 47Jxx, 58C40, 58E07, 90C30] | ||
| 65H20 | Global methods, including homotopy approaches [See also 58C30, 90C30] | ||
| 65H99 | None of the above, but in this section | ||
| 65J | Numerical analysis in abstract spaces | ||
| 65J05 | General theory | ||
| 65J10 | Equations with linear operators (do not use 65Fxx) | ||
| 65J15 | Equations with nonlinear operators (do not use 65Hxx) | ||
| 65J20 | Improperly posed problems; regularization | ||
| 65J22 | Inverse problems | ||
| 65J99 | None of the above, but in this section | ||
| 65K | Mathematical programming, optimization and variational techniques | ||
| 65K05 | Mathematical programming {Algorithms; for theory see 90Cxx} | ||
| 65K10 | Optimization and variational techniques [See also 49Mxx, 93B40] | ||
| 65K99 | None of the above, but in this section | ||
| 65L | Ordinary differential equations | ||
| 65L05 | Initial value problems | ||
| 65L06 | Multistep, Runge-Kutta and extrapolation methods | ||
| 65L07 | Numerical investigation of stability of solutions | ||
| 65L08 | Improperly posed problems | ||
| 65L09 | Inverse problems | ||
| 65L10 | Boundary value problems | ||
| 65L12 | Finite difference methods | ||
| 65L15 | Eigenvalue problems | ||
| 65L20 | Stability and convergence of numerical methods | ||
| 65L50 | Mesh generation and refinement | ||
| 65L60 | Finite elements, Rayleigh-Ritz, Galerkin and collocation methods | ||
| 65L70 | Error bounds | ||
| 65L80 | Methods for differential-algebraic equations | ||
| 65L99 | None of the above, but in this section | ||
| 65M | Partial differential equations, initial value and time-dependent initial-boundary value problems | ||
| 65M06 | Finite difference methods | ||
| 65M12 | Stability and convergence of numerical methods | ||
| 65M15 | Error bounds | ||
| 65M20 | Method of lines | ||
| 65M25 | Method of characteristics | ||
| 65M30 | Improperly posed problems | ||
| 65M32 | Inverse problems | ||
| 65M50 | Mesh generation and refinement | ||
| 65M55 | Multigrid methods; domain decomposition | ||
| 65M60 | Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods | ||
| 65M70 | Spectral, collocation and related methods | ||
| 65M99 | None of the above, but in this section | ||
| 65N | Partial differential equations, boundary value problems | ||
| 65N06 | Finite difference methods | ||
| 65N12 | Stability and convergence of numerical methods | ||
| 65N15 | Error bounds | ||
| 65N21 | Inverse problems | ||
| 65N22 | Solution of discretized equations [See also 65Fxx, 65Hxx] | ||
| 65N25 | Eigenvalue problems | ||
| 65N30 | Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods | ||
| 65N35 | Spectral, collocation and related methods | ||
| 65N38 | Boundary element methods | ||
| 65N40 | Method of lines | ||
| 65N45 | Method of contraction of the boundary | ||
| 65N50 | Mesh generation and refinement | ||
| 65N55 | Multigrid methods; domain decomposition | ||
| 65N99 | None of the above, but in this section | ||
| 65P | Numerical problems in dynamical systems [See also 37Mxx] | ||
| 65P10 | Hamiltonian systems including symplectic integrators | ||
| 65P20 | Numerical chaos | ||
| 65P30 | Bifurcation problems | ||
| 65P40 | Nonlinear stabilities | ||
| 65P99 | None of the above, but in this section | ||
| 65Q05 | Difference and functional equations, recurrence relations | ||
| 65R | Integral equations, integral transforms | ||
| 65R10 | Integral transforms | ||
| 65R20 | Integral equations | ||
| 65R30 | Improperly posed problems | ||
| 65R32 | Inverse problems | ||
| 65R99 | None of the above, but in this section | ||
| 65S05 | Graphical methods | ||
| 65T | Numerical methods in Fourier analysis | ||
| 65T40 | Trigonometric approximation and interpolation | ||
| 65T50 | Discrete and fast Fourier transforms | ||
| 65T60 | Wavelets | ||
| 65T99 | None of the above, but in this section | ||
| 65Y | Computer aspects of numerical algorithms | ||
| 65Y05 | Parallel computation | ||
| 65Y10 | Algorithms for specific classes of architectures | ||
| 65Y15 | Packaged methods | ||
| 65Y20 | Complexity and performance of numerical algorithms [See also 68Q25] | ||
| 65Y99 | None of the above, but in this section | ||
| 65Z05 | Applications to physics | ||
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