摘要
In this paper we discuss the continuous piecewise polynomial spline collocation method for a kind of integral operator equations, which include smooth kernel Fredholm equations and Volterra equations as well as Green’s kernel integral equations. It will be shown that the collocation solution itself may admit an ideal error expansion at the knots. Based on this expanison, the multilevel corrected global estimates can be obtained by using the "higher order interpolation" technique.
In this paper we discuss the continuous piecewise polynomial spline collocation method for a kind of integral operator equations, which include smooth kernel Fredholm equations and Volterra equations as well as Green's kernel integral equations. It will be shown that the collocation solution itself may admit an ideal error expansion at the knots. Based on this expanison, the multilevel corrected global estimates can be obtained by using the 'higher order interpolation' technique.
出处
《计算数学》
CSCD
北大核心
1998年第3期261-266,共6页
Mathematica Numerica Sinica
关键词
积分算子方程
连续型配置
多层校正
积分方程
integral operator equation, continuation-type collocation,multilevel correction
