Spring 2021 Numerical analysis of asymptotically convolution evolutionary integral equations
Eleonora Messina, Antonia Vecchio
J. Integral Equations Applications 33(1): 91-115 (Spring 2021). DOI: 10.1216/jie.2021.33.91

Abstract

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 (ρ,σ) methods for general systems and in some particular cases.

Citation

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Eleonora Messina. Antonia Vecchio. "Numerical analysis of asymptotically convolution evolutionary integral equations." J. Integral Equations Applications 33 (1) 91 - 115, Spring 2021. https://doi.org/10.1216/jie.2021.33.91

Information

Received: 25 October 2019; Revised: 19 March 2020; Accepted: 19 March 2020; Published: Spring 2021
First available in Project Euclid: 11 June 2021

Digital Object Identifier: 10.1216/jie.2021.33.91

Subjects:
Primary: 39A11 , 65R20

Keywords: numerical stability , quasi-convolution kernel , Volterra equations

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

Vol.33 • No. 1 • Spring 2021
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