UNIFORMLY HIGHER ORDER ACCURATE EXTRAPOLATIONS TO SOLUTIONS OF UNIFORMLY CONVERGENT DISCRETIZATION METHODS FOR SINGULARLY PERTURBED PROBLEMS  

作　　者：孙光甫 

机构地区：[1]Department of Computer Science,Fuzhou University, Fuzhou

出　　处：《Applied Mathematics and Mechanics(English Edition)》1990年第3期271-276,共6页应用数学和力学（英文版）

基　　金：Supported by the National Natural Science Foundation of China

摘　　要：We discuss the uniformly higher order accurate extrapolations, which are based on the uniform expansion for global error, to solutions of uniformly convergent discretization methods for singularly perturbed problems. By applying the approach to the in-Allen-Southwell scheme for a non-self-adjoint problem, we obtain an extrapolation solution which is uniformly convergent with order two. We confirm the result by numerical calculations.We discuss the uniformly higher order accurate extrapolations, which are based on the uniform expansion for global error, to solutions of uniformly convergent discretization methods for singularly perturbed problems. By applying the approach to the in-Allen-Southwell scheme for a non-self-adjoint problem, we obtain an extrapolation solution which is uniformly convergent with order two. We confirm the result by numerical calculations.

关 键 词：CONVERGENT UNIFORMLY applying PERTURBED RICHARDSON satisfy ADJOINT singularly perturbation Uniform 

分 类 号：O3，O1[理学—力学]