Spectral and High-order Methods with Applications
Author: Jie Shen
Publisher:
Published: 2006
Total Pages: 224
ISBN-13: 9787030177223
DOWNLOAD EBOOK中国科学院科学出版基金资助出版。
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Author: Jie Shen
Publisher:
Published: 2006
Total Pages: 224
ISBN-13: 9787030177223
DOWNLOAD EBOOK中国科学院科学出版基金资助出版。
Author: David Gottlieb
Publisher: SIAM
Published: 1977-01-01
Total Pages: 167
ISBN-13: 0898710235
DOWNLOAD EBOOKA unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Author: John P. Boyd
Publisher: Courier Corporation
Published: 2001-12-03
Total Pages: 690
ISBN-13: 0486411834
DOWNLOAD EBOOKCompletely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.
Author: Robert G. Voigt
Publisher:
Published: 1984
Total Pages: 284
ISBN-13:
DOWNLOAD EBOOKAuthor: Jie Shen
Publisher: Springer Science & Business Media
Published: 2011-08-25
Total Pages: 481
ISBN-13: 3540710418
DOWNLOAD EBOOKAlong with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.
Author: Hermann Brunner
Publisher: Cambridge University Press
Published: 2004-11-15
Total Pages: 620
ISBN-13: 9780521806152
DOWNLOAD EBOOKPublisher Description
Author: M. Y. Hussaini
Publisher:
Published: 1987
Total Pages: 74
ISBN-13:
DOWNLOAD EBOOKAuthor: Lloyd N. Trefethen
Publisher: SIAM
Published: 2000-07-01
Total Pages: 179
ISBN-13: 0898714656
DOWNLOAD EBOOKMathematics of Computing -- Numerical Analysis.
Author: Hemen Dutta
Publisher: John Wiley & Sons
Published: 2020-08-06
Total Pages: 336
ISBN-13: 1119654238
DOWNLOAD EBOOKA guide to the new research in the field of fractional order analysis Fractional Order Analysis contains the most recent research findings in fractional order analysis and its applications. The authors—noted experts on the topic—offer an examination of the theory, methods, applications, and the modern tools and techniques in the field of fractional order analysis. The information, tools, and applications presented can help develop mathematical methods and models with better accuracy. Comprehensive in scope, the book covers a range of topics including: new fractional operators, fractional derivatives, fractional differential equations, inequalities for different fractional derivatives and fractional integrals, fractional modeling related to transmission of Malaria, and dynamics of Zika virus with various fractional derivatives, and more. Designed to be an accessible text, several useful, relevant and connected topics can be found in one place, which is crucial for an understanding of the research problems of an applied nature. This book: Contains recent development in fractional calculus Offers a balance of theory, methods, and applications Puts the focus on fractional analysis and its interdisciplinary applications, such as fractional models for biological models Helps make research more relevant to real-life applications Written for researchers, professionals and practitioners, Fractional Order Analysis offers a comprehensive resource to fractional analysis and its many applications as well as information on the newest research.
Author: Jan S. Hesthaven
Publisher: Springer Science & Business Media
Published: 2010-10-29
Total Pages: 507
ISBN-13: 3642153372
DOWNLOAD EBOOKThe book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2009), and provides an overview of the depth and breadth of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography.