Asymptotically convolution Volterra equations are characterized by kernel functions which exponentiallydecay to convolution ones. Their importance in the applications motivates a numerical analysis of theasymptotic behavior of the solution. Here the quasi-convolution nature of the kernel is exploited in orderto investigate the stability of .; / methods for general systems and in some particular cases.

NUMERICAL ANALYSIS OF ASYMPTOTICALLY CONVOLUTION EVOLUTIONARY INTEGRAL EQUATIONS

A Vecchio
2021

Abstract

Asymptotically convolution Volterra equations are characterized by kernel functions which exponentiallydecay to convolution ones. Their importance in the applications motivates a numerical analysis of theasymptotic behavior of the solution. Here the quasi-convolution nature of the kernel is exploited in orderto investigate the stability of .; / methods for general systems and in some particular cases.
2021
Istituto Applicazioni del Calcolo ''Mauro Picone''
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Volterra equations
numerical stability
quasi-convolution kernel
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/397346
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