Structure-preserving algorithms for oscillatory differential equations II - Wu, Xinyuan; Liu, Kai 1964-; Shi, Wei; SpringerLink (Online service). (Berlin, Heidelberg Springer Berlin Heidelberg, 2015)
Matrix-variation-of-constants formula -- Improved Stormer-Verlet formulae with applications -- Improved Filon-type asymptotic methods for highly oscillatory differential equations -- Efficient energy-preserving integrators for multi-frequency oscillatory Hamiltonian systems -- An extended discrete gradient formula for multi-frequency oscillatory Hamiltonian systems -- Trigonometric Fourier collocation methods for multi-frequency oscillatory systems -- Error bounds for explicit ERKN integrators for multi-frequency oscillatory systems -- Error analysis of explicit TSERKN methods for highly oscillatory systems -- Highly accurate explicit symplectic ERKN methods for multi-frequency oscillatory Hamiltonian systems -- Multidimensional ARKN methods for general multi-frequency oscillatory second-order IVPs -- A simplified Nystrom-tree theory for ERKN integrators solving oscillatory systems -- An efficient high-order explicit scheme for solving Hamiltonian nonlinear wave equations.
Electronic reproduction.
Keywords: Differential equations, Nonlinear -- Numerical solutions; Electronic books