Structure-preserving algorithms for oscillatory differential equations /

Structure-preserving algorithms for oscillatory differential equations /

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Bibliographic Details
Author / Creator:Wu, Xinyuan.
Imprint:Berlin ; New York : Springer ; Beijing : Science Press, c2013.
Description:1 online resource (241 p.)
Language:English
Subject:
Differential equations, Nonlinear -- Numerical solutions.
Differential equations, Nonlinear -- Numerical solutions.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/9849752
Hidden Bibliographic Details
Other authors / contributors:You, Xiong.
Wang, Bin.
ISBN:9783642353383 (electronic bk.)
364235338X (electronic bk.)
9783642353376
9787030355201
Notes:Includes bibliographical references and index.
Description based on print version record.
Summary: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.
Other form:Print version: Wu, Xinyuan Structure-Preserving Algorithms for Oscillatory Differential Equations Dordrecht : Springer, c2013 9783642353376
Table of Contents:
  • Runge-Kutta (-Nyström) Methods for Oscillatory Differential Equations
  • ARKN Methods
  • ERKN Methods
  • Symplectic and Symmetric Multidimensional ERKN Methods
  • Two-Step Multidimensional ERKN Methods
  • Adapted Falkner-Type Methods
  • Energy-Preserving ERKN Methods
  • Effective Methods for Highly Oscillatory Second-Order Nonlinear Differential Equations
  • Extended Leap-Frog Methods for Hamiltonian Wave Equations
  • Structure-Preserving Algorithms for Oscillatory Differential Equations.

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