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
相关论文
共 50 条
  • [1] APPROXIMATE SOLUTION OF RIEMANN BOUNDARY VALUE PROBLEM FOR SYSTEMS OF N-FUNCTIONS
    IVANOV, VV
    DOKLADY AKADEMII NAUK SSSR, 1959, 129 (01): : 27 - 29
  • [2] RIEMANN BOUNDARY VALUE PROBLEM IN A CLASS OF GENERALIZED ANALYTIC FUNCTIONS
    Musayev, Kamal M.
    Gasanova, Tamilla Kh.
    PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2005, 22 (30): : 93 - 98
  • [3] Riemann boundary value problem for doubly periodic polyanalytic functions
    Duan, Ping
    Wang, Ying
    Wang, Yufeng
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2020, 65 (11) : 1882 - 1901
  • [4] Periodic Riemann boundary value problem
    Wang, Xiaoyin
    Du, Jinyuan
    COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2023, 68 (07) : 1077 - 1092
  • [5] Noether property and approximate solution of the Riemann boundary value problem on closed curves
    Bory-Reyes, Juan
    Katz, David
    ANALYSIS AND MATHEMATICAL PHYSICS, 2021, 11 (04)
  • [6] Noether property and approximate solution of the Riemann boundary value problem on closed curves
    Juan Bory-Reyes
    David Katz
    Analysis and Mathematical Physics, 2021, 11
  • [7] Riemann boundary-value problem for doubly-periodic bianalytic functions
    Han, Huili
    Liu, Hua
    Wang, Yufeng
    BOUNDARY VALUE PROBLEMS, 2018,
  • [8] Riemann boundary-value problem for doubly-periodic bianalytic functions
    Huili Han
    Hua Liu
    Yufeng Wang
    Boundary Value Problems, 2018
  • [9] An application of the periodic Riemann boundary value problem to a periodic crack problem
    Li, X
    COMPLEX METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 1999, 6 : 103 - 112
  • [10] Application of Faber polynomials to the approximate solution of a generalized boundary value problem of linear conjugation in the theory of analytic functions
    Sheshko, Michail A.
    Karczmarek, Pawel
    Pylak, Dorota
    Wojcik, Pawel
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 67 (08) : 1474 - 1481
12345