Description
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 and discuss recent applications of the unified transform to the analysis and numerical modelling of boundary value problems for linear and integrable nonlinear PDEs and the closely related boundary element method. The text covers a variety of aspects of the topic, including new theoretical results on linear and nonlinear evolutionary and elliptic problems, variational formulations for elliptic problems, and recent numerical applications based on the boundary element method and on the unified transform. The book is intended for applied and numerical research mathematicians and scientists working on the solution of boundary value problems in physics and engineering.
This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method.
About the Author
B. Pelloni is a Professor of Mathematics at the University of Reading. She has published over 30 papers on the unified transform and lectured on it as the Olga Taussky-Todd prize lecturer at ICIAM 2011. She is a fellow of the Institute for Mathematics and Its Applications and a member of the London Mathematical Society. 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.
Book Information
ISBN 9781611973815
Author Beatrice Pelloni
Format Paperback
Page Count 320
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 550g
Dimensions(mm) 254mm * 174mm * 16mm
This book describes state-of-the-art advances and applications of the unified transform and its relation to the boundary element method.
About the Author
B. Pelloni is a Professor of Mathematics at the University of Reading. She has published over 30 papers on the unified transform and lectured on it as the Olga Taussky-Todd prize lecturer at ICIAM 2011. She is a fellow of the Institute for Mathematics and Its Applications and a member of the London Mathematical Society. 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.
Book Information
ISBN 9781611973815
Author Beatrice Pelloni
Format Paperback
Page Count 320
Imprint Society for Industrial & Applied Mathematics,U.S.
Publisher Society for Industrial & Applied Mathematics,U.S.
Weight(grams) 550g
Dimensions(mm) 254mm * 174mm * 16mm
