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Fourier Analysis of Numerical Approximations of Hyperbolic Equations

Fourier Analysis of Numerical Approximations of Hyperbolic Equations

$59.00 (C)

Part of Studies in Applied and Numerical Mathematics

  • Date Published: January 1987
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898713923

$ 59.00 (C)
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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About the Authors
  • There has been a growing interest in the use of Fourier analysis to examine questions of accuracy and stability of numerical methods for solving partial differential equations. This kind of analysis can produce particularly attractive and useful results for hyperbolic equations. This book provides useful reference material for those concerned with computational fluid dynamics: for physicists and engineers who work with computers in the analysis of problems in such diverse fields as hydraulics, gas dynamics, plasma physics, numerical weather prediction, and transport processes in engineering, and who need to understand the implications of the approximations they use; and for applied mathematicians concerned with the more theoretical aspects of these computations.

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    Product details

    • Date Published: January 1987
    • format: Paperback
    • isbn: 9780898713923
    • dimensions: 230 x 155 x 10 mm
    • weight: 0.213kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Introduction
    Fourier Analysis of the Accuracy of Semi-Discretizations
    Higher Order Semi-Discretizations
    Full Discretizations
    Damping, Diffusion and Filtering
    Group Velocity
    Time-Fourier Transforms
    Fourier Analysis and L2-Norm of the Global Error
    Spectral Methods
    Equations in Two Dimensions: Anisotrophy.

  • Authors

    Robert Vichnevetsky

    John B. Bowles

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