Structure-Preserving Algorithms for Oscillatory Differential Equations
By: by Xinyuan Wu, Xiong You, Bin Wang
Contributors: You, Xiong; Wang, Bin; SpringerLink (Online service)
Publisher: Springer Berlin Heidelberg; Imprint: Springer
Published: 2013
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] /
Number of pages: 238
ISBN-13: 9783642353383
Subjects: Appl.Mathematics/Computational Methods of Engineering; Engineering; Engineering mathematics; Computer science; Mathematical and Computational Physics Theoretical; Computational Science and Engineering
Description: 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.
Table of contents: title: Runge-Kutta (-Nyström) Methods for Oscillatory Differential Equations; title: ARKN Methods; title: ERKN Methods; title: Symplectic and Symmetric Multidimensional ERKN Methods; title: Two-Step Multidimensional ERKN Methods; title: Adapted Falkner-Type Methods; title: Energy-Preserving ERKN Methods; title: Effective Methods for Highly Oscillatory Second-Order Nonlinear Differential Equations; title: Extended Leap-Frog Methods for Hamiltonian Wave Equations.