ON ENERGY CONSERVATION BY TRIGONOMETRIC INTEGRATORS IN THE LINEAR CASE WITH APPLICATION TO WAVE EQUATIONS  

作　　者：Ludwig Gauckler 

机构地区：[1]Institut fur Mathematik,Freie Universitat Berlin,Arnimallee 9,D-14195 Berlin,Germany

出　　处：《Journal of Computational Mathematics》2020年第5期705-714,共10页计算数学（英文）

摘　　要：Trigonometric integrators for oscillatory linear Hamiltonian differential equations are considered.Under a condition of Hairer&Lubich on the filter functions in the method,a modified energy is derived that is exactly preserved by trigonometric integrators.This implies and extends a known result on all-time near-conservation of energy.The extension can be applied to linear wave equations.

关 键 词：Oscillatory Hamiltonian systems Trigonometric integrators Energy conservation Long-time behaviour Modified energy 

分 类 号：O24[理学—计算数学]