Unified Transform for Boundary Value Problems : Applications and Advances
Language: English
Published by Society For Industrial And Applied Mathematics (SIAM) Okt 2016, 2016
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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Add to basketItem description from seller
Neuware - This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method. The authors present the solution of boundary value problems from several different perspectives, in particular the type of problems modeled by partial differential equations (PDEs). They discuss recent applications of the unified transform to the analysis and numerical modeling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method, a well-established numerical approach for solving linear elliptic PDEs.The text is divided into three parts. Part I contains new theoretical results on linear and nonlinear evolutionary and elliptic problems. New explicit solution representations for several classes of boundary value problems are constructed and rigorously analyzed. Part II is a detailed overview of variational formulations for elliptic problems. It places the unified transform approach in a classic context alongside the boundary element method and stresses its novelty. Part III presents recent numerical applications based on the boundary element method and on the unified transform.…
Seller Inventory # 9781611973815
- Title
- Unified Transform for Boundary Value Problems : Applications and Advances
- Author
- Beatrice Pelloni
- Publisher
- Society For Industrial And Applied Mathematics (SIAM) Okt 2016
- Publication year
- 2016
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 1611973813
- ISBN 13
- 9781611973815
- Item weight
- 549 grams
- Dimensions
- 247x174x16 mm
"Synopsis" may belong to another edition of this title.
About the Author
A. S. Fokas is the Chair of Nonlinear Mathematical Science in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. Among his many awards are the Naylor Prize, the Excellence Prize of the Bodossaki Foundation, and a Guggenheim Fellowship. He is a member of the Academy of Athens and is included in the list of most highly cited researchers in mathematics. He is the originator of the unified transform.
"About the title" may belong to another edition of this title.
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