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[期刊论文] 作者:Yi-fa Tang,
来源:计算数学(英文版) 年份:2000
In this paper, we solve a problem on the existence of conjugate symplecticity of linear multi-step methods (LMSM), the negative result is obtained....
[期刊论文] 作者:Yi-fa Tang,
来源:计算数学(英文版) 年份:2002
We expand the step-transition operator of any linear multi-step method with order s ≥ 2 up to O(τs+5). And through examples we show how much the perturbation...
[期刊论文] 作者:Yi-fa Tang,
来源:计算数学(英文版) 年份:2002
We give some formulae for calculation of the expansions for (1) composition of step-transition operators (STO) of any two difference schemes (DS) for ODE’s, (2...
[期刊论文] 作者:Yi-fa Tang,
来源:计算数学(英文版) 年份:2002
We get τ6-terms of the formal energy of the mid-point rule, and use the mathematical pendulum to test the convergence of the formal energy....
,EXPANSIONS OF STEP-TRANSITION OPERATORS OF MULTI-STEP METHODS AND ORDER BARRIERS FOR DAHLQUIST PAIR
[期刊论文] 作者:Quan-dong Feng,Yi-fa Tang,
来源:计算数学(英文版) 年份:2006
Using least parameters, we expand the step-transition operator of any linear multi-step method (LMSM) up to O(τs+5) with order s = 1 and rewrite the expansion...
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