NUMERICAL ANALYSIS OF ASYMPTOTICALLY CONVOLUTION EVOLUTIONARY INTEGRAL EQUATIONS

被引：0

作者：

Messina, Eleonora ^{[1
]}

Vecchio, Antonia ^{[2
]}

机构：

[1] Univ Napoli Federico II, Dipartimento Matemat & Applicaz, I-80126 Naples, Italy

[2] CNR, Sede Napoli, Ist Applicaz Calcolo Mauro Picone, I-80131 Naples, Italy

来源：

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS | 2021年 / 33卷 / 01期

关键词：

Volterra equations; quasi-convolution kernel; numerical stability; VOLTERRA; STABILITY;

D O I：

10.1216/jie.2021.33.91

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotically convolution Volterra equations are characterized by kernel functions which exponentially decay to convolution ones. Their importance in the applications motivates a numerical analysis of the asymptotic behavior of the solution. Here the quasi-convolution nature of the kernel is exploited in order to investigate the stability of (rho, sigma) methods for general systems and in some particular cases.

引用

页码：91 / 115

页数：25

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