| Description |
1 online resource (ix, 273 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Cambridge monographs on applied and computational mathematics ; 21
|
|
Cambridge monographs on applied and computational mathematics ; 21.
|
| Bibliography |
Includes bibliographical references and index. |
| Summary |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Spectral theory (Mathematics)
|
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Spectral theory (Mathematics) |
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Differential equations, Partial.
|
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Differential equations, Partial. |
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Differential equations, Hyperbolic.
|
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Differential equations, Hyperbolic. |
| Genre/Form |
Electronic books.
|
| Added Author |
Gottlieb, Sigal.
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Gottlieb, David.
|
| Other Form: |
Print version: Hesthaven, Jan. Spectral methods for time-dependent problems. Cambridge : Cambridge University Press, ©2007 9780521792110 0521792118 (DLC) 2007276026 (OCoLC)70764827 |
| ISBN |
9780511261077 (electronic book) |
|
0511261071 (electronic book) |
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0521792118 (cloth) |
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9780521792110 (cloth) |
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0511260504 (electronic book) |
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9780511260506 (electronic book) |
|
9780511618352 |
|
0511618352 |
|
