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High order finite volume methods for singular perturbation problems

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【Author】 CHEN ZhongYing1,HE ChongNan1,2&WU Bin1 1Department of Scientific Computing and Computer Applications,Sun Yat-Sen University,Guangzhou 510275,China 2College of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,China

【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.

【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
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