A numerical method for the generalized Love integral equation in 2D

被引：0

作者：

Fermo, Luisa ^{[1
]}

Russo, Maria Grazia ^{[2
]}

Serafini, Giada ^{[2
]}

机构：

[1] Univ Cagliari, Dept Math & Comp Sci, Via Osped 72, I-09124 Cagliari, Italy

[2] Univ Basilicata, Dept Math Comp Sci & Econ, Viale Ateneo Lucano 10, I-85100 Potenza, Italy

来源：

DOLOMITES RESEARCH NOTES ON APPROXIMATION | 2021年 / 14卷

关键词：

SINGULAR-INTEGRALS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the numerical solution of the generalized Love integral equation defined on the square. The method is of Nystrom type and is based on the approximation of the integral by a product cubature rule whose coefficients are approximated by a "dilation" scheme. The theoretical analysis of the presented method is discussed by proving its stability and convergence in weighted spaces equipped with the uniform norm. To support the theoretical estimates, some numerical tests are presented.

引用

页码：46 / 57

页数：12

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