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Fourier analysis of numerical approximations of hyperbolic equations / Robert Vichnevetsky and John B. Bowles; with a foreword by Garrett Birkhoff

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Publisher number: AM05Language: English Series: Society for Industrial and Applied Mathematics. SIAM studies in applied and numerical mathematics ; 5Publisher: Philadelphia, Pa : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1982Description: Online-Ressource (1 electronic text xii, 135 p.)ISBN:
  • 9780898713923
  • 0898713927
  • 9781611970876
  • 9781611970876
  • 0898713927
  • 9780898713923
Subject(s): Additional physical formats: 0898713927 | Erscheint auch als Druck-AusgabeDDC classification:
  • 515.3/53 19
LOC classification:
  • QA377
DOI: DOI: 10.1137/1.9781611970876Online resources: Additional physical formats: Also available in print version.
Contents:
Includes bibliographical references (p. 131-135) and index
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.
Summary: 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 computationsPPN: PPN: 722016964Package identifier: Produktsigel: ZDB-72-SIA
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