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Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics, Series Number 21)

Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics, Series Number 21)

Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied
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Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics, Series Number 21) Hardback - 2007

by David Gottlieb

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  • Title Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics, Series Number 21)
  • Author David Gottlieb
  • Binding Hardback
  • Condition Used - Good
  • Pages 284
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2007-01-11
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • Bookseller's Inventory # 0521792118.G
  • ISBN 9780521792110 / 0521792118
  • Weight 1.25 lbs (0.57 kg)
  • Dimensions 9 x 6.1 x 0.7 in (22.86 x 15.49 x 1.78 cm)
  • Category Mathematics
  • Library of Congress subjects Differential equations, Partial, Spectral theory (Mathematics)
  • Library of Congress Catalogue Number 2007276026
  • Dewey Decimal Code 515.353
  • Quantity available 1

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From the publisher

Spectral methods are well-suited to solve problems modeled by time-dependent partial differential equations: they are fast, efficient and accurate and widely used by mathematicians and practitioners. This class-tested 2007 introduction, the first on the subject, is ideal for graduate courses, or self-study. The authors describe the basic theory of spectral methods, allowing the reader to understand the techniques through numerous examples as well as more rigorous developments. They provide a detailed treatment of methods based on Fourier expansions and orthogonal polynomials (including discussions of stability, boundary conditions, filtering, and the extension from the linear to the nonlinear situation). Computational solution techniques for integration in time are dealt with by Runge-Kutta type methods. Several chapters are devoted to material not previously covered in book form, including stability theory for polynomial methods, techniques for problems with discontinuous solutions, round-off errors and the formulation of spectral methods on general grids. These will be especially helpful for practitioners.

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