Overview
- Establishes structure-preserving algorithms for differential equations
- Presents theoretical derivations and mathematical analysis
- Provides high-performance numerical simulations
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About this book
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-time numerical behaviour of the simulation, all the integrators presented in this monograph have been tested and verified on highly oscillatory systems from a wide range of applications in the field of science and engineering. They are more efficient than existing schemes in the literature for differential equations that have highly oscillatory solutions.
This book is useful to researchers, teachers, students and engineers who are interested in Geometric Integrators and their long-time behaviour analysis for differential equations with highly oscillatory solutions.
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Table of contents (14 chapters)
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Authors and Affiliations
About the authors
Bin Wang, a Professor in Department of Mathematics and Statistics, Xi'an Jiaotong University. His research interests focus on various structure-preserving algorithms as well as numerical methods for differential equation, especially the numerical computation and analysis of Hamilton ordinary differential equation and partial differential equation. Wang was awarded by Alexander von Humboldt Foundation (2017–2019).
Bibliographic Information
Book Title: Geometric Integrators for Differential Equations with Highly Oscillatory Solutions
Authors: Xinyuan Wu, Bin Wang
DOI: https://doi.org/10.1007/978-981-16-0147-7
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021
Hardcover ISBN: 978-981-16-0146-0Published: 29 September 2021
Softcover ISBN: 978-981-16-0149-1Published: 30 September 2022
eBook ISBN: 978-981-16-0147-7Published: 28 September 2021
Edition Number: 1
Number of Pages: XVIII, 499
Number of Illustrations: 103 b/w illustrations, 83 illustrations in colour
Additional Information: Jointly published with Science Press Beijing, China
Topics: Analysis, Numerical Analysis, Dynamical Systems and Ergodic Theory, Vibration, Dynamical Systems, Control