Approximate solution of periodic Riemann boundary value problem for analytic functions

被引：1
|
作者：
Begehr, H
Li, X
机构：
[1] Free Univ Berlin, Inst Math 1, D-14195 Berlin, Germany
[2] Ningxia Univ, Dept Math, Ningxia, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2001年 / 134卷 / 1-2期
关键词：
boundary value problem; singular integral; spline; approximation;
D O I：
10.1016/S0377-0427(00)00530-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A direct method for the approximate solution of periodic Riemann boundary value problems for analytic functions is given through the approximation by complex splines. By the delta -cardinal splines of the first degree we get the approximation of the canonical function based on the approximate result of singular integrals with Hilbert kernel. Furthermore, we obtain the approximate solution which may be sufficiently close to the exact solution to any degree when the partition Delta is sufficiently fine. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：85 / 93
页数：9
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