ASYMPTOTIC EXPANSIONS FOR APPROXIMATE EIGENVALUES OF INTEGRAL OPERATORS WITH NONSMOOTH KERNELS OF MULTIPLICITY m > 1

被引：1

作者：

Rane, Akshay S. ^{[1
]}

机构：

[1] Birla Inst Technol & Sci, Dept Math, KK Birla Goa Campus, Zuarinagar, Goa, India

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2019年 / 31卷 / 03期

关键词：

Fredholm integral operator; Green's function type kernels; iterated Galerkin method; multiple eigenvalue; asymptotic expansion; CONVERGENCE;

D O I：

10.1216/JIE-2019-31-3-411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an integral operator with a kernel of the Green's function type. We prove the existence of asymptotic expansion of an eigenvalue of multiplicity m > 1, when the integral operator is approximated by the iterated Galerkin operator. This enables us to use the Richardson extrapolation to increase the order of convergence of the eigenvalue. We consider a numerical example to illustrate our theoretical results.

引用

页码：411 / 430

页数：20

共 15 条

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ASYMPTOTIC EXPANSIONS FOR APPROXIMATE EIGENVALUES OF INTEGRAL OPERATORS WITH NONSMOOTH KERNELS OF MULTIPLICITY m &gt; 1

ASYMPTOTIC EXPANSIONS FOR APPROXIMATE EIGENVALUES OF INTEGRAL OPERATORS WITH NONSMOOTH KERNELS OF MULTIPLICITY m > 1