An hp-Version Jacobi Spectral Collocation Method for the Third-Kind VIEs

被引：9

作者：

Wang, Zhongqing ^{[1
]}

Zhou, Min ^{[1
]}

Guo, Yuling ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2021年 / 87卷 / 01期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

The third-kind VIEs; Jacobi spectral collocation method; hp-version; VOLTERRA INTEGRAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; GALERKIN METHOD;

D O I：

10.1007/s10915-021-01426-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present an hp-version Jacobi spectral collocation method for the third-kind VIEs. We establish several newapproximation results of the Jacobi polynomial interpolations. In addition, we also derive the convergence of the hp-version of Jacobi spectral collocation method under the L-infinity-norm. Numerical experiments confirm the theoretical expectations.

引用

页数：15

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