Superconvergence of quadratic spline collocation for Volterra integral equations

被引：1
|
作者：
Saveljeva, Darja [1 ]
机构：
[1] Univ Tartu, Inst Appl Math, EE-50409 Tartu, Estonia
来源：
ALGORITHMS FOR APPROXIMATION, PROCEEDINGS | 2007年
关键词：
D O I：
10.1007/978-3-540-46551-5_25
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A collocation method with quadratic splines for Volterra integral equations is studied. Using special collocation points, error estimates at the collocation points are derived showing a more rapid convergence of order O(h(4)) than the global uniform convergence of order O(h(3)) in the interval of integration.
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页码：319 / 327
页数：9
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