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

• 作者: Ludwig Gauckler
• 来源期刊: 计算数学（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 705-714
• 页数: 10页
• 语种: 英文
• DOI: 10.4208/jcm.1903-m2018-0090

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.