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Spectral Methods for Time-Dependent ...
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Gottlieb, Sigal.
Spectral Methods for Time-Dependent Problems.
紀錄類型:
書目-電子資源 : 單行本
正題名/作者:
Spectral Methods for Time-Dependent Problems./
作者:
Hesthaven, Jan.
其他作者:
Gottlieb, David.
出版者:
Leiden :Cambridge University Press, : 2007.,
面頁冊數:
285 p.
電子資源:
Click here to view book
ISBN:
9780511618352 (electronic bk.)
Spectral Methods for Time-Dependent Problems.
Hesthaven, Jan.
Spectral Methods for Time-Dependent Problems.
[electronic resource]. - Leiden :Cambridge University Press,2007. - 285 p.
Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 >From local to global approximation; 2 Trigonometric polynomial approximation; 3 Fourier spectral methods; 4 Orthogonal polynomials; 5 Polynomial expansions; 6 Polynomial approximation theory for smooth functions; 7 Polynomial spectral methods; 8 Stability of polynomial spectral methods; 9 Spectral methods for nonsmooth problems; 10 Discrete stability and time integration; 11 Computational aspects; 12 Spectral methods on general grids; Appendix A Elements of convergence theory
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, these popular and efficient techniques are presented with both rigorous analysis and extensive coverage of their wide range of applications.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511618352 (electronic bk.)Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QC20.7. S64
Dewey Class. No.: 515.35
Spectral Methods for Time-Dependent Problems.
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Spectral Methods for Time-Dependent Problems.
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Cambridge University Press,
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285 p.
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Cover; Half-title; Series-title; Title; Copyright; Dedication; Contents; Introduction; 1 >From local to global approximation; 2 Trigonometric polynomial approximation; 3 Fourier spectral methods; 4 Orthogonal polynomials; 5 Polynomial expansions; 6 Polynomial approximation theory for smooth functions; 7 Polynomial spectral methods; 8 Stability of polynomial spectral methods; 9 Spectral methods for nonsmooth problems; 10 Discrete stability and time integration; 11 Computational aspects; 12 Spectral methods on general grids; Appendix A Elements of convergence theory
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Appendix B A zoo of polynomialsBibliography; Index
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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, these popular and efficient techniques are presented with both rigorous analysis and extensive coverage of their wide range of applications.
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511618352
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