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Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics, Series Number 21) - Hardcover
Synopsis
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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Book Description
Spectral methods are useful techniques for solving integral and partial differential equations, many of which appear in fluid mechanics and engineering problems. Based on a graduate course, this 2007 book presents these popular and efficient techniques with both rigorous analysis and extensive coverage of their wide range of applications.
About the Author
Jan Hesthaven is a Professor of Applied Mathematics at Brown University.
Sigal Gottlieb is an Associate Professor at the Department of Mathematics, University of Massachusetts, Dartmouth.
David Gottlieb is a Professor in the Division of Applied Mathematics, Brown University.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2007
- ISBN 10 0521792118
- ISBN 13 9780521792110
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages284
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Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics, Series Number 21)
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ISBN 13: 9780521792110
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Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics 21)
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Spectral Methods for Time-Dependent Problems (Cambridge Monographs on Applied and Computational Mathematics, Series Number 21)
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ISBN 13: 9780521792110
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ISBN 13: 9780521792110
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ISBN 13: 9780521792110
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Hardcover. Condition: new. Hardcover. 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. Spectral methods are useful techniques for solving integral and partial differential equations, many of which appear in fluid mechanics and engineering problems. Based on a graduate course, this 2007 book presents these popular and efficient techniques with both rigorous analysis and extensive coverage of their wide range of applications. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521792110
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Spectral methods are useful techniques for solving integral and partial differential equations, many of which appear in fluid mechanics and engineering problems. Based on a graduate course, this 2007 book presents these popular and efficient techniques with. Seller Inventory # 446947325
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Spectral Methods for Time-Dependent Problems
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 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. Seller Inventory # 9780521792110
Quantity: 1 available