| 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=(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.
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