| Spectral Methods for Time-Dependent Problems Contributor(s): Hesthaven, Jan S. (Author), Gottlieb, Sigal (Author), Gottlieb, David (Author) |
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ISBN: 0521792118 ISBN-13: 9780521792110 Publisher: Cambridge University Press OUR PRICE: $116.85 Product Type: Hardcover - Other Formats Published: January 2007 |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - Partial |
| Dewey: 515.353 |
| LCCN: 2007276026 |
| Series: Cambridge Monographs on Applied and Computational Mathematics (Hardcover) |
| Physical Information: 0.7" H x 6.1" W x 9" (1.25 lbs) 284 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
Contributor Bio(s): Gottlieb, Sigal: - Sigal Gottlieb is an Associate Professor at the Department of Mathematics, University of Massachusetts, Dartmouth.Hesthaven, Jan S.: - Jan Hesthaven is a Professor of Applied Mathematics at Brown University.Gottlieb, David: - David Gottlieb is a Professor in the Division of Applied Mathematics, Brown University. |