AN ANALYSIS OF SPLITTING EXTRAPOLATION FOR MULTIDIMENSIONAL PROBLEMS  

作　　者：吕涛 石济民 林振宝 

机构地区：[1]Instute of Mathematical Sciences,Academia Sinica Chengdu,China [2]Department of Mathematical Studies,Hong Kong Polytechnic,Hong Kong

出　　处：《Systems Science and Mathematical Sciences》1990年第3期261-272,共12页

摘　　要：The splitting extrapolation is an important technique for solving multidimensionalproblems.In the case that error u^h-u has an asymptotic expansion of form Σc_αh^2α,whereα=（α₁,…,α_s） and h^α=h₁^α₁,…h_s^α_s,the method gives an approximation involving less computerstorage and less computational work in comparison with the classical Richardson extrapolation.In this paper we present a recurrence rule of the splitting extrapolation and discuss itsapplications in the fields of multiple integrals,multidimensional integral equations,partialdifferential equations and singular perturbation problems.The splitting extrapolation is an important technique for solving multidimensionalproblems.In the case that error u^h-u has an asymptotic expansion of form Σc_αh^(2α),whereα=(α_1,…,α_s) and h~α=h_1^(α_1),…h_s^(α_s),the method gives an approximation involving less computerstorage and less computational work in comparison with the classical Richardson extrapolation.In this paper we present a recurrence rule of the splitting extrapolation and discuss itsapplications in the fields of multiple integrals,multidimensional integral equations,partialdifferential equations and singular perturbation problems.

关 键 词：SPLITTING EXTRAPOLATION asymptoticexpansion RECURRENCE ALGORITHM MULTIDIMENSIONAL PROBLEMS 

分 类 号：N94[自然科学总论—系统科学]