Spectral Methods for Time-Dependent Problems (Hardcover)

Jan S. Hesthaven

ISBN 10: 0521792118 / ISBN 13: 9780521792110

Editore: Cambridge University Press, Cambridge, 2006

Riguardo questo articolo

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.

Codice articolo 9780521792110

Dati bibliografici

• Titolo: Spectral Methods for Time-Dependent Problems (Hardcover)
• Editore: Cambridge University Press, Cambridge
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 0521792118
• ISBN 13: 9780521792110
• Rilegatura: Hardcover
• Condizione: new

Descrizione articolo

Riassunto

A 2007 graduate text on spectral methods with applications in fluid dynamics and engineering.

Informazioni sugli autori

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.