摘要
本文对三角形域上边界型近似积分公式首次给出精确的误差渐近估计,并由此建立相应的Romberg型外推公式.同时,讨论了若干数值应用,包括提出一种新的求解Volterra型积分微分方程初值问题的数值方法.
In this paper,some sophisticated error estimations of the boundary-type integration formulas on a triangle are obtained.Based on that,a seriesof compounded formulas in the form of Romberg's extrapolation are derived.Several numerical applications,including a new method to solve Volterratype of integro-differential equations,are also given.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
1990年第2期32-40,共9页
Journal of Shanghai Jiaotong University
基金
上海交大基金资助
关键词
边界型积分公式
积分公式
误差估计
三角形域
Boundary-type integration formula
Asymptotic error estimation
Romberg's extrapolation
Volterra type integro-differential equations