SUPER-CONVERGENCE OF COLLOCATION METHODS FOR VOLTERRA INTEGRAL-EQUATIONS OF THE 1ST KIND

被引：12

作者：

BRUNNER, H

机构：

[1] Department of Mathematics, Dalhousie University, Halifax, Nova Scotia

来源：

COMPUTING | 1979年 / 21卷 / 02期

关键词：

D O I：

10.1007/BF02253135

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Collocation methods for solving first-kind Volterra equations in the space of piecewise polynomials possessing finite (jump) discontinuities at their knots and having degree m≧0 are known to have global order of convergence p=m+1. It is shown that a careful choice of the collocation points (characterized by the Lobatto points in (0, 1]) yields convergence of order (m+2) at the corresponding Legendre points. © 1979 Springer-Verlag.

引用

页码：151 / 157

页数：7