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9780898713923 Academic Inspection Copy

Fourier Analysis of Numerical Approximations of Hyperbolic Equations

  • ISBN-13: 9780898713923
  • Publisher: SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED
    Imprint: SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED
  • By R. Vichnevetsky, By J.B. Bowles
  • Price: AUD $182.00
  • Stock: 0 in stock
  • Availability: This book is temporarily out of stock, order will be despatched as soon as fresh stock is received.
  • Local release date: 28/09/2006
  • Format: Paperback (228.00mm X 151.00mm) 152 pages Weight: 230g
  • Categories: Mathematics [PB]
Description
Table of
Contents
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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. Applied mathematicians concerned with the more theoretical aspects of these computations will also find this book invaluable.
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.
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