Numerical Treatment and Analysis of Time-Fractional Evolution Equations - Couverture souple

Jin, Bangti; Zhou, Zhi

Couverture souple

ISBN 10 : 3031210514 ISBN 13 : 9783031210518

Editeur : Springer, 2023

Synopsis

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.

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2023
• Langue: anglais
• ISBN 10: 3031210514
• ISBN 13: 9783031210518
• Reliure: Broché
• Coordonnées du fabricant: non disponible
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