scientific article

Publication date: 23 March 2009

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Seidel iteration \(QL\) algorithm \texttt{BASIC}\texttt{BiCGSTAB}\texttt{CG}\texttt{COBOL}\texttt{FORTRAN}\texttt{PASCAL}Aitken-Neville's method Bairstov-Hitchcook method Bernoulli's procedure Courant-Friedrichs-Lewy's condition Danilewsky's method factorization modifications of Crout and Doolittle Givens \(QR\) factorization Graeffe's root-squaring method Hermite and Chebyshev interpolation Lagrangian interpolation method Laguerre's and Müller's algorithm Lehmer's method methods of Aitken, Newton-Raphson, Kizner and Brent Milne-Simpson Newton's divided difference interpolation parabolic, hyperbolic and elliptic differential equations Ridders method Rütishauser's \(LU\) method Stirling's, and Bessel's formula Störmer's rule systems non-linear of equations Wilkinson algorithm monograph interpolation stability diffusion convergence collocation method Galerkin method heat equation wave equation stability analysis consistency Newton's method numerical methods preconditioning ordinary differential equations integral equations number systems condition number error bounds iterative method finite element methods Monte Carlo methods Horner scheme Newton-Raphson method matrix eigenvalue problem Schrödinger equation Cholesky factorization iterative methods parallel computing sparse matrices error estimate Gaussian quadrature Gaussian elimination extrapolation Runge-Kutta method finite difference methods method of characteristics programming languages Taylor series multigrid methods numerical linear algebra step size control Rayleigh-Ritz method Jacobi method Helmholtz direct methods multi-step methods shooting methods matrix inversion truncation error residual error artificial neural network predictor-corrector algorithms Picard's method partial pivoting wave Laplace initial and boundary value problems roots of polynomial equations Poisson Hopfield networks Simpson's rule bisection Rayleigh quotient iteration rounding error alternating direction implicit procedure Krylov subspace algorithms \texttt{MATLAB}iterative refinement complex roots linear least-squares problems Householder \texttt{C}successive over-relaxation Lax-Wendroff Jacobi regula falsi numerical differentiation and integration finite-precision arithmetic Gram-Schmidt Adams-Bashforth-Moulton method Gauss-Seidel \(QR\) decomposition \texttt{MATHEMATICA}\texttt{C++}quotient-difference algorithm \texttt{BLAS}\texttt{LAPACK}Numerov's method Crank-Nicolson methods inverse power method Romberg's method Gauss-Jordan method \texttt{GMRES}Leverrier's algorithm algebraic and transcendental equations neurocomputing spline integration Hamming forward and backward error analysis

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Monte Carlo methods (65C05) Numerical computation of solutions to systems of equations (65H10) Numerical methods for integral equations (65R20) Neural networks for/in biological studies, artificial life and related topics (92B20) Numerical interpolation (65D05) Roundoff error (65G50) Numerical computation of solutions to single equations (65H05) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Numerical integration (65D30) Numerical linear algebra (65Fxx) Numerical computation of roots of polynomial equations (65H04) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Physics, astronomy, technology, engineering (aspects of mathematics education) (97M50) Computer aspects of numerical algorithms (65Yxx)

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