Description

Book Synopsis
Covers the key topics of numerical methods. This work covers topics including interpolation, the fast Fourier transform, iterative methods for solving systems of linear and nonlinear equations, numerical methods for solving ODEs, numerical methods for matrix eigenvalue problems, approximation theory and computer arithmetic.

Table of Contents
Interpolation by polynomials Spline functions The discrete Fourier transform and its applications Solution of linear systems of equations Nonlinear systems of equations The numerical integration of functions Explicit one-step methods for initial value problems in ordinary differential equations Multistep methods for initial value problems of ordinary differential equations Boundary value problems for ordinary differential equations Jacobi, Gauss-Seidel and relaxation methods for the solution of linear systems of equations The conjugate gradient and GMRES methods Eigenvalue problems Numerical methods for eigenvalue problems Peano's error representation Approximation theory Computer arithmetic Bibliography Index.

Concise Numerical Mathematics

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    A Hardback by Robert Plato

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      Book details

      Publisher American Mathematical Society
      Published 5/30/2003 12:00:00 AM
      ISBN-13 9780821829530
      978-0821829530
      ISBN-10 082182953X

      Description

      Book Synopsis
      Covers the key topics of numerical methods. This work covers topics including interpolation, the fast Fourier transform, iterative methods for solving systems of linear and nonlinear equations, numerical methods for solving ODEs, numerical methods for matrix eigenvalue problems, approximation theory and computer arithmetic.

      Table of Contents
      Interpolation by polynomials Spline functions The discrete Fourier transform and its applications Solution of linear systems of equations Nonlinear systems of equations The numerical integration of functions Explicit one-step methods for initial value problems in ordinary differential equations Multistep methods for initial value problems of ordinary differential equations Boundary value problems for ordinary differential equations Jacobi, Gauss-Seidel and relaxation methods for the solution of linear systems of equations The conjugate gradient and GMRES methods Eigenvalue problems Numerical methods for eigenvalue problems Peano's error representation Approximation theory Computer arithmetic Bibliography Index.

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