SUPERCONVERGENCE ESTIMATES AT JACOBI POINTS OF THE COLLOCATION-GALERKIN METHOD FOR TWO POINT BOUNDARY VALUE PROBLEMS.

被引：0

作者：

Nakao, Mitsuhiro

机构：

来源：

Journal of Information Processing | 1984年 / 7卷 / 01期

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D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The paper considers some error estimates of a collocation-Galerkin method for two point boundary value problems. It is shown that the errors at certain Jacobi points are O(h**r** plus **2), where h is the maximal size of the partitioned intervals and r is the degree of used polynomials, which is one order higher than the global optimal error. A numerical example which confirms these results is presented.

引用

页码：31 / 34