Structure-Preserving Algorithms for Oscillatory Differential Equations

  • Xinyuan Wu
  • Xiong You
  • Bin Wang

Table of contents

  1. Front Matter
    Pages I-XII
  2. Xinyuan Wu, Xiong You, Bin Wang
    Pages 27-61
  3. Xinyuan Wu, Xiong You, Bin Wang
    Pages 63-90
  4. Xinyuan Wu, Xiong You, Bin Wang
    Pages 91-119
  5. Xinyuan Wu, Xiong You, Bin Wang
    Pages 121-149
  6. Xinyuan Wu, Xiong You, Bin Wang
    Pages 151-172
  7. Xinyuan Wu, Xiong You, Bin Wang
    Pages 173-184
  8. Xinyuan Wu, Xiong You, Bin Wang
    Pages 197-230
  9. Back Matter
    Pages 231-236

About this book

Introduction

Structure-Preserving Algorithms for Oscillatory Differential Equations describes a large number of highly effective and efficient structure-preserving algorithms for second-order oscillatory differential equations by using theoretical analysis and numerical validation. Structure-preserving algorithms for differential equations, especially for oscillatory differential equations, play an important role in the accurate simulation of oscillatory problems in applied sciences and engineering. The book discusses novel advances in the ARKN, ERKN, two-step ERKN, Falkner-type and energy-preserving methods, etc. for oscillatory differential equations.

The work is intended for scientists, engineers, teachers and students who are interested in structure-preserving algorithms for differential equations. Xinyuan Wu is a professor at Nanjing University; Xiong You is an associate professor at Nanjing Agricultural University; Bin Wang is a joint Ph.D student of Nanjing University and University of Cambridge.

Keywords

ARKN Method ERKN Method Second-order Oscillatory Differential Equation Structure-preserving Algorithm

Authors and affiliations

  • Xinyuan Wu
    • 1
  • Xiong You
    • 2
  • Bin Wang
    • 3
  1. 1.Nanjing UniversityNanjingChina, People's Republic
  2. 2.Nanjing Agricultural UniversityNanjingChina, People's Republic
  3. 3.Nanjing UniversityNanjingChina, People's Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-35338-3
  • Copyright Information Science Press Beijing and Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-35337-6
  • Online ISBN 978-3-642-35338-3
  • About this book
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