节点文献
B-收敛结果的一个拓展
Extension of B-Convergence Results
【摘要】 研究了一般线性方法(GL方法)关于一类刚性延迟系统的D-收敛性,通过拓展刚性常微分方程数值方法的B-收敛结果,一些新的判定刚性延迟系统数值方法D-收敛阶的准则被导出。在文末,数值例子阐明所获理论结果。
【Abstract】 D-convergence of general linear (GL) methods was studied for a class of stiff delay systems. By extending the B-convergence results of numerical methods for stiff ordinary differential equations, some new criteria to determine D-covergence order of numerical methods for stiff delay systems were derived. A numerical example was to illustrate the obtained theoretical results.
【关键词】 B-收敛性;
D-收敛性;
一般线性方法;
刚性延迟系统;
【Key words】 B-convergence; D-convergence; general linear methods; stiff delay systems;
【Key words】 B-convergence; D-convergence; general linear methods; stiff delay systems;
【基金】 国家自然科学基金(10571066);教育部回国留学人员基金资助(教外司留[2005]383号)
- 【文献出处】 系统仿真学报 ,Journal of System Simulation , 编辑部邮箱 ,2007年17期
- 【分类号】O241.81
- 【下载频次】47