典型文献
A DISSIPATION-PRESERVING INTEGRATOR FOR DAMPED OSCILLATORY HAMILTONIAN SYSTEMS
文献摘要：
In this paper,based on discrete gradient,a dissipation-preserving integrator for weakly dissipative perturbations of oscillatory Hamiltonian system is established.The solution of this system is a damped nonlinear oscillator.Basically,lots of nonlinear oscillatory mechanical systems including frictional forces lend themselves to this approach.The new integrator gives a discrete analogue of the dissipation property of the original system.Meanwhile,since the integrator is based on the variation-of-constants formula for oscilla-tory systems,it preserves the oscillatory structure of the system.Some properties of the new integrator are derived.The convergence is analyzed for the implicit iterations based on the discrete gradient integrator,and it turns out that the convergence of the implicit iterations based on the new integrator is independent of ‖M‖,where M governs the main oscillation of the system and usually ‖M ‖＞＞1.This significant property shows that a larg-er stepsize can be chosen for the new schemes than that for the traditional discrete gradient integrators when applied to the oscillatory Hamiltonian system.Numerical experiments are carried out to show the effectiveness and efficiency of the new integrator in comparison with the traditional discrete gradient methods in the scientific literature.
文献关键词：
中图分类号：
作者姓名：
Wei Shi;Kai Liu
作者机构：
College of Mathematical Sciences,Nanjing Tech University,Nanjing 211816,China;School of Statistics and Data Science,Nanjing Audit University,Nanjing 210023,China
文献出处：
引用格式：
[1]Wei Shi;Kai Liu-.A DISSIPATION-PRESERVING INTEGRATOR FOR DAMPED OSCILLATORY HAMILTONIAN SYSTEMS)[J].计算数学（英文版）,2022(04):570-588
A类：
DISSIPATION,PRESERVING,INTEGRATOR,DAMPED,OSCILLATORY,HAMILTONIAN,SYSTEMS,larg,stepsize,integrators
B类：
FOR,In,this,paper,discrete,gradient,dissipation,preserving,weakly,dissipative,perturbations,oscillatory,Hamiltonian,established,solution,damped,nonlinear,Basically,lots,mechanical,systems,including,frictional,forces,lend,themselves,approach,new,gives,analogue,property,original,Meanwhile,since,variation,constants,formula,preserves,structure,Some,properties,are,derived,convergence,analyzed,implicit,iterations,turns,out,that,independent,where,governs,main,oscillation,usually,This,significant,shows,be,chosen,schemes,than,traditional,when,applied,Numerical,experiments,carried,effectiveness,efficiency,comparison,methods,scientific,literature
AB值：
0.428195
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
