Structure-Preserving Algorithms for Oscillatory Differential Equations

• Main Authors: Wu, Xinyuan. (Author), You, Xiong. (Author), Wang, Bin. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Subjects: Engineering.; Computer science.; Engineering mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Theoretical, Mathematical and Computational Physics.; Computational Science and Engineering.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-35338-3

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 algorithm...

Table of Contents:

• Runge-Kutta (-Nystrm̲) 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.