节点文献
High order finite volume methods for singular perturbation problems
【摘要】 In this paper we establish a high order finite volume method for the fourth order singular perturbation problems.In conjunction with the optimal meshes,the numerical solutions resulting from the method have optimal convergence order.Numerical experiments are presented to verify our theoretical estimates.
【Abstract】 In this paper we establish a high order finite volume method for the fourth order singular perturbation problems.In conjunction with the optimal meshes,the numerical solutions resulting from the method have optimal convergence order.Numerical experiments are presented to verify our theoretical estimates.
【关键词】 finite volume methods;
optimal meshes;
singular perturbation problems;
【Key words】 finite volume methods; optimal meshes; singular perturbation problems;
【Key words】 finite volume methods; optimal meshes; singular perturbation problems;
【基金】 the National Natural Science Foundation of China(Grant Nos.10771224,10601070);the Guangdong Provincial Natural Science Foundation of China(Grant No.05003308);MOE Project of Key Research Institute of Humanities and Social Sciences at Universities;China-France-Russia Mathematics Collaboration(Grant No.34000-3275100)
- 【文献出处】 Science in China(Series A:Mathematics) ,中国科学(A辑:数学)(英文版) , 编辑部邮箱 ,2008年08期
- 【分类号】O241
- 【被引频次】8
- 【下载频次】40