| 书目名称 | Numerical Treatment and Analysis of Time-Fractional Evolution Equations |
| 编辑 | Bangti Jin,Zhi Zhou |
| 视频video | |
| 概述 | Provides insight in the mathematics of numerical methods for solving time-fractional evolution equations.Presents ideas and methods of analysis, and covers most important topics in this active area of |
| 丛书名称 | Applied Mathematical Sciences |
| 图书封面 |  |
| 描述 | .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.. |
| 出版日期 | Book 2023 |
| 关键词 | time-fractional diffusion equation; Galerkin method; differential equation; finite element method; convo |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-21050-1 |
| isbn_softcover | 978-3-031-21052-5 |
| isbn_ebook | 978-3-031-21050-1Series ISSN 0066-5452 Series E-ISSN 2196-968X |
| issn_series | 0066-5452 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 17:39:31
