ON THE NUMERICAL-SOLUTION OF THE GENERALIZED PRANDTL EQUATION USING VARIATION-DIMINISHING SPLINES

被引：7

作者：

CALIO, F

MARCHETTI, E

RABINOWITZ, P

机构：

[1] POLITECN MILAN, DIPARTIMENTO MATEMAT, I-20133 MILAN, ITALY

[2] WEIZMANN INST SCI, DEPT APPL MATH & COMP SCI, IL-76100 REHOVOT, ISRAEL

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1995年 / 60卷 / 03期

关键词：

APPROXIMATING SPLINES; B-SPLINES; CAUCHY PRINCIPAL VALUE; INTEGRAL EQUATIONS;

D O I：

10.1016/0377-0427(94)00024-U

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Convergence results are proved for Cauchy principal value integrals of the Schoenberg variation-diminishing splines and its first derivative. The use of such splines in the numerical solution of the Prandtl and generalized Prandtl integral equations is proposed. A Nystrom-type method and a modified Nystrom method are used and compared computationally.

引用

页码：297 / 307

页数：11

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