03072nam 2200529Ia 450 991043788670332120200520144314.01-299-33711-23-642-35338-X10.1007/978-3-642-35338-3(OCoLC)844064336(MiFhGG)GVRL6YPW(CKB)2670000000337191(MiAaPQ)EBC1106285(EXLCZ)99267000000033719120130211d2013 uy 0engurun|---uuuuatxtccrStructure-preserving algorithms for oscillatory differential equations /Xinyuan Wu, Xiong You, Bin Wang1st ed. 2013.Heidelberg ;New York Springer ;Beijing Science Press20131 online resource (xii, 236 pages) illustrationsGale eBooksDescription based upon print version of record.3-642-44556-X 3-642-35337-1 Includes bibliographical references and index.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 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.Differential equations, NonlinearNumerical solutionsMathematicsDifferential equations, NonlinearNumerical solutions.Mathematics.511.8Wu Xinyuan767990You Xiong1761736Wang Bin767991MiAaPQMiAaPQMiAaPQBOOK9910437886703321Structure-preserving algorithms for oscillatory differential equations4201345UNINA