Superconvergence Estimates at Jacobi Points of the Collocation-Galerkin Method for Two Point Boundary Value Problems
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概要
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In this paper, we consider 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+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.
- 一般社団法人情報処理学会の論文
- 1984-03-31
著者
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Nakao Mitsuhiro
Department Of Applied Mathematics Kyushu Institute Of Technology
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NAKAO MITSUHIRO
Department of Applied Mathematics, Kyushu Institute of Technology
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