Text

Structure-Preserving Algorithms for Oscillatory Differential Equations II

---

This book describes a variety of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations. Such systems arise in many branches of science and engineering, and the examples in the book include systems from quantum physics, celestial mechanics and electronics. To accurately simulate the true behavior of such systems, a numerical algorithm must preserve as much as possible their key structural properties: time-reversibility, oscillation, symplecticity, and energy and momentum conservation. The book describes novel advances in RKN methods, ERKN methods, Filon-type asymptotic methods, AVF methods, and trigonometric Fourier collocation methods. The accuracy and efficiency of each of these algorithms are tested via careful numerical simulations, and their structure-preserving properties are rigorously established by theoretical analysis. The book also gives insights into the practical implementation of the methods.

---

Availability

No copy data

Detail Information

Series Title

-

Call Number

-

Publisher

Cham : Springer., 2015

Collation

XV, 298

Language

English

ISBN/ISSN

978-3-662-48156-1

Classification

NONE

Content Type

-

Media Type

-

Carrier Type

-

Edition

-

Subject(s)

Engineering

Specific Detail Info

-

Statement of Responsibility

Xinyuan Wu, Kai Liu, Wei Shi

Other Information

Cataloger

Jemadi

Source

https://link.springer.com/content/pdf/10.1007/978-3-662-48156-1.pdf?pdf=button

Validator

-

Other version/related

File Attachment

Comments

---

You must be logged in to post a comment