Introduction To Partial Differential Equations: A Computational Approach: 29 - Rilegato

Tveito, Aslak; Winther, Ragnar

Rilegato

ISBN 10: 354022551X ISBN 13: 9783540225515

Casa editrice: Springer Nature, 2004

Riassunto

This book teaches basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Coverage details such topics as separation of variables, Fourier analysis, maximum principles, and energy estimates. The book introduces numerical methods in parallel to the classical theory and also includes many engaging exercises.

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Recensione

From the reviews:

"Presents an introductory course to study partial differential equations especially from the computational point of view. ... At the end of each chapter the reader can find a very good selection of fine exercises or projects ... . The language of the book is simple and easy to read which will be highly appreciated by its readers. The book can be very useful for undergraduate and graduate students in mathematics and engineering." (Angela Handlovicová, Zentralblatt MATH, 1063, 2005)

Contenuti

Setting the Scene.- Two-Point Boundary Value Problems.- The Heat Equation.- Finite Difference Schemes for the Heat Equation.- The Wave Equation.- Maximum Principles.- Poisson's Equation in Two Space Dimensions.- Orthogonality and General Fourier Series.- Convergence of Fourier Series.- The Heat Equation Revisited.- Reaction-Diffusion Equations.- Applications of the Fourier Transform.

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 354022551X
• ISBN 13: 9783540225515
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 392
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania