Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations

Wu, Xinyuan, Wang, Bin

ISBN 10: 9811342962 / ISBN 13: 9789811342967

Published by Springer, 2019

About this Item

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Seller Inventory # ERICA80098113429626

Bibliographic Details

• Title: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations
• Publisher: Springer
• Publication Date: 2019
• Language: English
• ISBN 10: 9811342962
• ISBN 13: 9789811342967
• Binding: Paperback
• Condition: New
• Book Type: book

About this title

Synopsis

The main theme of this book is recent progress in structure-preserving algorithms for solving initial value problems of oscillatory differential equations arising in a variety of research areas, such as astronomy, theoretical physics, electronics, quantum mechanics and engineering. It systematically describes the latest advances in the development of structure-preserving integrators for oscillatory differential equations, such as structure-preserving exponential integrators, functionally fitted energy-preserving integrators, exponential Fourier collocation methods, trigonometric collocation methods, and symmetric and arbitrarily high-order time-stepping methods. Most of the material presented here is drawn from the recent literature. Theoretical analysis of the newly developed schemes shows their advantages in the context of structure preservation. All the new methods introduced in this book are proven to be highly effective compared with the well-known codes in the scientific literature. This book also addresses challenging problems at the forefront of modern numerical analysis and presents a wide range of modern tools and techniques.