典型文献
LONG-TIME OSCILLATORY ENERGY CONSERVATION OF TOTAL ENERGY-PRESERVING METHODS FOR HIGHLY OSCILLATORY HAMILTONIAN SYSTEMS
文献摘要：
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 oscillatory energy for the adapted average vector field(AAVF) method when applied to highly oscillatory Hamiltonian systems.This AAVF method is an extension of the average vector field method and preserves the total energy of highly oscillatory Hamiltonian systems exactly.This paper is devoted to analysing another important property of AAVF method,i.e.,the near conservation of its oscillatory energy in a long term.The long-time oscillatory energy conservation is obtained via constructing a modulated Fourier expansion of the AAVF method and deriving an almost invariant of the expansion.A similar result of the method in the multi-frequency case is also presented in this paper.
文献关键词：
中图分类号：
作者姓名：
Bin Wang;Xinyuan Wu
作者机构：
School of Mathematics and Statistics,Xi'an Jiaotong University,Xi'an 710049,China;Department of Mathematics,Nanjing University,Nanjing 210093,China;School of Mathematical Sciences,Qufu Normal University,Qufu 273165,China
文献出处：
引用格式：
[1]Bin Wang;Xinyuan Wu-.LONG-TIME OSCILLATORY ENERGY CONSERVATION OF TOTAL ENERGY-PRESERVING METHODS FOR HIGHLY OSCILLATORY HAMILTONIAN SYSTEMS)[J].计算数学（英文版）,2022(01):70-88
A类：
OSCILLATORY,CONSERVATION,PRESERVING,HIGHLY,HAMILTONIAN,SYSTEMS,AAVF
B类：
LONG,TIME,ENERGY,OF,TOTAL,METHODS,FOR,For,integrator,when,applied,highly,oscillatory,near,conservation,energy,over,long,times,important,aspect,In,this,paper,we,study,adapted,average,vector,field,method,Hamiltonian,systems,This,extension,preserves,total,exactly,devoted,analysing,another,property,its,term,obtained,via,constructing,modulated,Fourier,expansion,deriving,almost,invariant,similar,result,multi,frequency,case,also,presented
AB值：
0.432442
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