| 书目名称 | Exact and Truncated Difference Schemes for Boundary Value ODEs |
| 编辑 | Ivan Gavrilyuk,Martin Hermann,Myroslav V. Kutniv |
| 视频video | |
| 概述 | Contains the first comprehensive and unified theory of compact finite difference methods for the numerical solution of nonlinear boundary value problems of ordinary differential equations (ODEs).Detai |
| 丛书名称 | International Series of Numerical Mathematics |
| 图书封面 |  |
| 描述 | .The book provides a comprehensive introduction to compact finite difference methods for solving boundary value ODEs with high accuracy. The corresponding theory is based on exact difference schemes (EDS) from which the implementable truncated difference schemes (TDS) are derived. The TDS are now competitive in terms of efficiency and accuracy with the well-studied numerical algorithms for the solution of initial value ODEs. Moreover, various a posteriori error estimators are presented which can be used in adaptive algorithms as important building blocks. The new class of EDS and TDS treated in this book can be considered as further developments of the results presented in the highly respected books of the Russian mathematician A. A. Samarskii. It is shown that the new Samarskii-like techniques open the horizon for the numerical treatment of more complicated problems..The book contains exercises and the corresponding solutions enabling the use as a course text or for self-study. Researchers and students from numerical methods, engineering and other sciences will find this book provides an accessible and self-contained introduction to numerical methods for solving boundary value ODE |
| 出版日期 | Book 2011 |
| 关键词 | ordinary differential equations |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-0107-2 |
| isbn_softcover | 978-3-0348-0341-0 |
| isbn_ebook | 978-3-0348-0107-2Series ISSN 0373-3149 Series E-ISSN 2296-6072 |
| issn_series | 0373-3149 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:29:17
