La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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65-XX 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 (must also be assigned at least one classification number from Section 01)
• 65-04 Explicit machine computation and programs (not the theory of computation or programming)
• 65-05 Experimental work
• 65-06 Proceedings, conferences, collections, etc.
• 65-99 Numerical analysis (not classified at a more specific level)
• 65A05 Tables
• 65Bxx Acceleration of convergence
• 65Cxx Probabilistic methods, simulation and stochastic differential equations [For theoretical aspects, see 68U20 and 60H35]
• 65Dxx Numerical approximation and computational geometry [Primarily algorithms; for theory, see 41-XX and 68Uxx]
• 65E05 Numerical methods in complex analysis (potential theory, etc.) [For numerical methods in conformal mapping, see 30C30]
• 65Fxx Numerical linear algebra
• 65Gxx Error analysis and interval analysis
• 65Hxx Nonlinear algebraic or transcendental equations
• 65Jxx Numerical analysis in abstract spaces
• 65Kxx Mathematical programming, optimization and variational techniques
• 65Lxx Ordinary differential equations
• 65Mxx Partial differential equations, initial value and time-dependent initial-boundary value problems
• 65Nxx Partial differential equations, boundary value problems
  • 65N06 Finite difference methods
  • 65N12 Stability and convergence of numerical methods
  • 65N15 Error bounds
  • 65N21 Inverse problems [Nouveau code MSC 2000]
    • Code MSC1991 affilié : 65N99
  • 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
• 65Pxx Numerical problems in dynamical systems [See also 37Mxx]
• 65Q05 Difference and functional equations, recurrence relations
• 65Rxx Integral equations, integral transforms
• 65S05 Graphical methods
• 65Txx Numerical methods in Fourier analysis
• 65Yxx Computer aspects of numerical algorithms
• 65Z05 Applications to physics [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 65P05, 65M99, 65N99

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