Computing Classification System 1998

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G.1 NUMERICAL ANALYSIS ( 0 Dok. )

  • G.1.0 General ( 0 Dok. )
    • G.1.0 Computer arithmetic
    • G.1.0 Conditioning (and ill-conditioning) (REVISED)
    • G.1.0 Error analysis
    • G.1.0 Interval arithmetic (NEW)
    • G.1.0 Multiple precision arithmetic (NEW)
    • G.1.0 Numerical algorithms
    • G.1.0 Parallel algorithms
    • G.1.0 Stability (and instability)

  • G.1.1 Interpolation (I.3.5, I.3.7) ( 0 Dok. )
    • G.1.1 Difference formulas**
    • G.1.1 Extrapolation
    • G.1.1 Interpolation formulas
    • G.1.1 Smoothing
    • G.1.1 Spline and piecewise polynomial interpolation

  • G.1.2 Approximation ( 0 Dok. )
    • G.1.2 Approximation of surfaces and contours (NEW)
    • G.1.2 Chebyshev approximation and theory
    • G.1.2 Elementary function approximation
    • G.1.2 Fast Fourier transforms (FFT) (NEW)
    • G.1.2 Least squares approximation
    • G.1.2 Linear approximation
    • G.1.2 Minimax approximation and algorithms
    • G.1.2 Nonlinear approximation
    • G.1.2 Rational approximation
    • G.1.2 Special function approximations (NEW)
    • G.1.2 Spline and piecewise polynomial approximation
    • G.1.2 Wavelets and fractals (NEW)

  • G.1.3 Numerical Linear Algebra ( 0 Dok. )
    • G.1.3 Conditioning
    • G.1.3 Determinants**
    • G.1.3 Eigenvalues and eigenvectors (direct and iterative methods) (REVISED)
    • G.1.3 Error analysis
    • G.1.3 Linear systems (direct and iterative methods)
    • G.1.3 Matrix inversion
    • G.1.3 Pseudoinverses**
    • G.1.3 Singular value decomposition (NEW)
    • G.1.3 Sparse, structured, and very large systems (direct and iterative methods) (REVISED)

  • G.1.4 Quadrature and Numerical Differentiation (F.2.1) ( 0 Dok. )
    • G.1.4 Adaptive and iterative quadrature (REVISED)
    • G.1.4 Automatic differentiation (NEW)
    • G.1.4 Equal interval integration**
    • G.1.4 Error analysis
    • G.1.4 Finite difference methods
    • G.1.4 Gaussian quadrature
    • G.1.4 Iterative methods
    • G.1.4 Multidimensional (multiple) quadrature (REVISED)

  • G.1.5 Roots of Nonlinear Equations ( 0 Dok. )
    • G.1.5 Continuation (homotopy) methods (NEW)
    • G.1.5 Convergence
    • G.1.5 Error analysis
    • G.1.5 Iterative methods
    • G.1.5 Polynomials, methods for
    • G.1.5 Systems of equations

  • G.1.6 Optimization ( 0 Dok. )
    • G.1.6 Constrained optimization
    • G.1.6 Convex programming (NEW)
    • G.1.6 Global optimization (NEW)
    • G.1.6 Gradient methods
    • G.1.6 Integer programming
    • G.1.6 Least squares methods
    • G.1.6 Linear programming
    • G.1.6 Nonlinear programming
    • G.1.6 Quadratic programming methods (NEW)
    • G.1.6 Simulated annealing (NEW)
    • G.1.6 Stochastic programming (NEW)
    • G.1.6 Unconstrained optimization (NEW)

  • G.1.7 Ordinary Differential Equations ( 0 Dok. )
    • G.1.7 Boundary value problems
    • G.1.7 Chaotic systems (NEW)
    • G.1.7 Convergence and stability
    • G.1.7 Differential-algebraic equations (NEW)
    • G.1.7 Error analysis
    • G.1.7 Finite difference methods (NEW)
    • G.1.7 Initial value problems
    • G.1.7 Multistep and multivalue methods (REVISED)
    • G.1.7 One-step (single step) methods (REVISED)
    • G.1.7 Stiff equations

  • G.1.8 Partial Differential Equations ( 0 Dok. )
    • G.1.8 Domain decomposition methods (NEW)
    • G.1.8 Elliptic equations
    • G.1.8 Finite difference methods (REVISED)
    • G.1.8 Finite element methods
    • G.1.8 Finite volume methods (NEW)
    • G.1.8 Hyperbolic equations
    • G.1.8 Inverse problems (NEW)
    • G.1.8 Iterative solution techniques (NEW)
    • G.1.8 Method of lines
    • G.1.8 Multigrid and multilevel methods (NEW)
    • G.1.8 Parabolic equations
    • G.1.8 Spectral methods (NEW)

  • G.1.9 Integral Equations ( 0 Dok. )
    • G.1.9 Delay equations (NEW)
    • G.1.9 Fredholm equations
    • G.1.9 Integro-differential equations
    • G.1.9 Volterra equations

  • G.1.10 Applications (NEW) ( 0 Dok. )

  • G.1.m Miscellaneous ( 0 Dok. )


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