典型文献
WAVEFORM RELAXATION METHODS FOR LIE-GROUP EQUATIONS
文献摘要：
In this paper,we derive and analyse waveform relaxation(WR)methods for solv-ing differential equations evolving on a Lie-group.We present both continuous-time and discrete-time WR methods and study their convergence properties.In the discrete-time case,the novel methods are constructed by combining WR methods with Runge-Kutta-Munthe-Kaas(RK-MK)methods.The obtained methods have both advantages of WR methods and RK-MK methods,which simplify the computation by decoupling strategy and preserve the numerical solution of Lie-group equations on a manifold.Three numeri-cal experiments are given to illustrate the feasibility of the new WR methods.
文献关键词：
中图分类号：
作者姓名：
Yaolin Jiang;Zhen Miao;Yi Lu
作者机构：
School of Mathematics and Statistics,Xi'an Jiaotong University,Xi'an 710049,China
文献出处：
引用格式：
[1]Yaolin Jiang;Zhen Miao;Yi Lu-.WAVEFORM RELAXATION METHODS FOR LIE-GROUP EQUATIONS)[J].计算数学（英文版）,2022(04):649-666
A类：
WAVEFORM,RELAXATION,EQUATIONS,Munthe,Kaas
B类：
METHODS,LIE,GROUP,In,this,paper,we,derive,analyse,waveform,relaxation,WR,methods,solv,differential,equations,evolving,Lie,group,We,present,both,continuous,discrete,study,their,convergence,properties,case,novel,are,constructed,by,combining,Runge,Kutta,RK,MK,obtained,have,advantages,which,simplify,computation,decoupling,strategy,preserve,numerical,solution,manifold,Three,experiments,given,illustrate,feasibility,new
AB值：
0.552706
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