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

Jin, Bangti; Zhou, Zhi

 
9783031210525: Numerical Treatment and Analysis of Time-Fractional Evolution Equations

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783031210495: Numerical Treatment and Analysis of Time-fractional Evolution Equations

Edition présentée

ISBN 10 :  3031210492 ISBN 13 :  9783031210495
Editeur : Springer International Publishin..., 2023
Couverture rigide