Spline-Collocation - Product Interpolation for Cordial Volterra Integral Equation

被引：0

作者：

Vainikko, Gennadi ^{[1
]}

机构：

[1] Univ Tartu, Inst Math, EE-50409 Tartu, Estonia

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷

关键词：

Volterra integral equations; cordial Volterra integral operators; non-compact Volterra operators; spline collocation; product integration; product interpolation; APPROXIMATION; OPERATORS;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the convergence and convergence speed of the discontinuous spline collocation product interpolation method on uniform grids for linear equations of the second kind with non-compact Volterra integral operators.

引用

页码：1210 / 1213

页数：4

共 13 条

[1]

[Anonymous], 1976, Funktionalanalysis der Diskretisierungsmethoden, Teubner-Texte zur Mathematik

[2]

[Anonymous], 1970, Mathematische Annalen, DOI 10.1007/BF01349967

[3]

Diogo T., APPL SPLINE CO UNPUB

[4] Superconvergence of collocation methods for a class of weakly singular Volterra integral equations [J].