Dissipativity of multistep runge-kutta methods for nonlinear volterra delay-integro-differential equations
Dissipativity of multistep runge-kutta methods for nonlinear volterra delay-integro-differential equations
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DOI：
10.1007/s10255-012-0142-x
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发表时间：
2012-04
期刊：
影响因子：
--
通讯作者：
Rui Qi;Chengjian Zhang;Yujie Zhang
中科院分区：
文献类型：
--
作者：
Rui Qi;Chengjian Zhang;Yujie Zhang
本文研究了非线性Volterra延迟积分-微分方程组的多步Runge-Kutta方法的数值耗散性。研究了具有约束网格和均匀网格的(k，L)-代数稳定多步Runge-Kutta方法的耗散性。得到了(k，L)-代数稳定的Runge-Kutta方法的有限维和无限维耗散结果。
This paper is concerned with the numerical dissipativity of multistep Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations. We investigate the dissipativity properties of (k, l)-algebraically stable multistep Runge-Kutta methods with constrained grid and an uniform grid. The finitedimensional and infinite-dimensional dissipativity results of (k, l)-algebraically stable Runge-Kutta methods are obtained.