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Numerical treatment and analysis of time-fractional evolution equations / Bangti Jin, Zhi Zhou.

9783031210501 (electronic bk.)
3031210506 (electronic bk.)
3031210492
9783031210495

Cham, Switzerland : Springer, 2023.

English

1 online resource (370 pages) : illustrations (colour).

10.1007/978-3-031-21050-1 doi

QA377.3

515/.353

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.

Includes bibliographical references and index.

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Description based on print version record.

Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 214.

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