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Fredholm积-微分方程Galerkin解的加速收敛分析
ACCELERATION OF CONVERGENCE FOR GALERKIN APPROXIMATION TO FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS
【摘要】 本文对一般形式的线性Fredholm积-微分方程推导出迭代Galerkin解及其导数的渐近展式,从而得到了迭代解的外推估计,同时还获得了理想的校正结果.
【Abstract】 In this paper, an asmptotic error expansion for the iterated Galerkin approximation (along with its derivative) to a larger class of linear Fredholm integro-differential equations is derived, and thus the extrapolation estimate is obtained. Moreover, the ideal multilevel correction estimate is given.
【关键词】 积-微分方程;
迭代Galerkin解;
渐近展式;
【Key words】 Integro-differential equations; iterated approximation; error expansion; extrapolation; multilevel correction;
【Key words】 Integro-differential equations; iterated approximation; error expansion; extrapolation; multilevel correction;
- 【文献出处】 系统科学与数学 ,JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES , 编辑部邮箱 ,1997年01期
- 【分类号】O241.6
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