Verwandte Artikel zu Numerical Treatment and Analysis of Time-Fractional...

Numerical Treatment and Analysis of Time-Fractional Evolution Equations (Applied Mathematical Sciences, 214, Band 214) - Hardcover

Jin, Bangti; Zhou, Zhi

 
9783031210495: Numerical Treatment and Analysis of Time-Fractional Evolution Equations (Applied Mathematical Sciences, 214, Band 214)
Hardcover
ISBN 10: 3031210492 ISBN 13: 9783031210495
Verlag: Springer, 2023

Inhaltsangabe

This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis of approximate solutions, efficient implementation and qualitative properties, under various regularity assumptions on the problem data, using tools from semigroup theory and Laplace transform. The book provides a comprehensive survey on the present ideas and methods of analysis, and it covers most important topics in this active area of research. It is recommended for graduate students and researchers in applied and computational mathematics, particularly numerical analysis.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Bangti Jin received the B.Eng. degree in polymeric materials and engineering in 2002, the

M.Sc. degree in computational mathematics in 2005, both from Zhejiang University, Hangzhou, China, and the Ph.D. degree in applied mathematics from the Chinese University of Hong Kong, Hong Kong, in 2008. Previously, he was an Assistant Professor of mathematics at the University of California, Riverside (2013-2014), a Visiting Assistant Professor at Texas A&M University (2010-2013), an Alexandre von Humboldt Postdoctoral Researcher at the University of Bremen (2009-2010). He is currently Professor of Inverse Problems at the Department of Computer Science, University College London, London, U.K. His research interests include computational inverse problems and numerical analysis of differential equations.

Von der hinteren Coverseite

This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis of approximate solutions, efficient implementation and qualitative properties, under various regularity assumptions on the problem data, using tools from semigroup theory and Laplace transform. The book provides a comprehensive survey on the present ideas and methods of analysis, and it covers most important topics in this active area of research. It is recommended for graduate students and researchers in applied and computational mathematics, particularly numerical analysis.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
3031210492
ISBN 13 
9783031210495
Einband
Gebundene Ausgabe
Anzahl der Seiten
440
Kontakt zum Hersteller
ProductSafety@springernature.com
ProductSafety@springernature.com

Tiergartenstr. 17
Heidelberg
69121
Deutschland