LONG-TIME

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相关作者：叶雄俊王晓峰黄晓波杨波许清泉更多>>
相关机构：北京大学香港理工大学中国科学院更多>>
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LONG-TIME OSCILLATORY ENERGY CONSERVATION OF TOTAL ENERGY-PRESERVING METHODS FOR HIGHLY OSCILLATORY HAMILTONIAN SYSTEMS被引量：1
《Journal of Computational Mathematics》2022年第1期70-88,共19页Bin Wang Xinyuan Wu 
supported by the Alexander von Humboldt Foundation。
For an integrator when applied to a highly oscillatory system,the near conservation of the oscillatory energy over long times is an important aspect.In this paper,we study the long-time near conservation of oscillator...
关键词：Highly oscillatory Hamiltonian systems Modulated Fourier expansion AAVF method Energy-preserving methods Long-time oscillatory Energy conservation 
ON ENERGY CONSERVATION BY TRIGONOMETRIC INTEGRATORS IN THE LINEAR CASE WITH APPLICATION TO WAVE EQUATIONS
《Journal of Computational Mathematics》2020年第5期705-714,共10页Ludwig Gauckler 
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 ...
关键词：Oscillatory Hamiltonian systems Trigonometric integrators Energy conservation Long-time behaviour Modified energy 
THE STABILITY AND CONVERGENCE OF COMPUTINGLONG-TIME BEHAVIOUR
《Journal of Computational Mathematics》1999年第4期397-418,共22页HaI-jun Wu Rong-hua Li(Institute of Mathematics, Jilin University, Changchun 130023, China) 
The object of this paper is to establish the relation between stability and convergence of the numerical methods for the evolution equation u(t) - Au - f(u) = g(t) on Banach space V, and to prove the long-time error e...
关键词：STABILITY compatibility covergence reaction-diffusion equation long-time error estimates 
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