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Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations

Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations

Bin Wang / Xinyuan Wu

159,88 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2019
Materia
Ingeniería: general
ISBN:
9789811342967
159,88 €
IVA incluido
Disponible

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Sobre IBD

Functionally fitted continuous finite element methods for oscillatory Hamiltonian system.- Exponential average-vector-field integrator for conservative or dissipative systems.- Exponential Fourier collocation methods for first-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 finite-energy condition for ERKN integrators solving nonlinear wave equations.- Index

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