E-Book, Englisch, 345 Seiten, eBook
Wu / Wang Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations
1. Auflage 2018
ISBN: 978-981-10-9004-2
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 345 Seiten, eBook
ISBN: 978-981-10-9004-2
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Functionally ?tted continuous ?nite element methods for oscillatory Hamiltonian system.- Exponential average-vector-?eld integrator for conservative or dissipative systems.- Exponential Fourier collocation methods for ?rst-order differential Equations.- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems.- High-order symplectic and symmetric composition integrators for multi-frequency oscillatory Hamiltonian systems.- The construction of arbitrary order ERKN integrators via group theory.- Trigonometric collocation methods for multi-frequency and multidimensional oscillatory systems.- A compact tri-colored tree theory for general ERKN methods.- An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations.- An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations.- Arbitrarily high-order time-stepping schemes for nonlinear Klein–Gordon equations.- An essential extension of the ?nite-energy condition for ERKN integrators solving nonlinear wave equations.- Index