| 书目名称 | Geometric Integrators for Differential Equations with Highly Oscillatory Solutions |
| 编辑 | Xinyuan Wu,Bin Wang |
| 视频video | |
| 概述 | Establishes structure-preserving algorithms for differential equations.Presents theoretical derivations and mathematical analysis.Provides high-performance numerical simulations |
| 图书封面 |  |
| 描述 | The idea of structure-preserving algorithms appeared in the 1980‘s. The new paradigm brought many innovative changes. The new paradigm wanted to identify the long-time behaviour of the solutions or the existence of conservation laws or some other qualitative feature of the dynamics. Another area that has kept growing in importance within Geometric Numerical Integration is the study of highly-oscillatory problems: problems where the solutions are periodic or quasiperiodic and have to be studied in time intervals that include an extremely large number of periods. As is known, these equations cannot be solved efficiently using conventional methods. A further study of novel geometric integrators has become increasingly important in recent years. The objective of this monograph is to explore further geometric integrators for highly oscillatory problems that can be formulated as systems of ordinary and partial differential equations..Facing challenging scientific computational problems, this book presents some new perspectives of the subject matter based on theoretical derivations and mathematical analysis, and provides high-performance numerical simulations. In order to show the long-ti |
| 出版日期 | Book 2021 |
| 关键词 | Oscillation-preserving integrators; Long-time behaviour of numerical integrators; Geometric numerical |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-16-0147-7 |
| isbn_softcover | 978-981-16-0149-1 |
| isbn_ebook | 978-981-16-0147-7 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
发表于 2025-3-21 16:55:28
