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.
NUMERICAL ANALYSIS OF ASYMPTOTICALLY CONVOLUTION EVOLUTIONARY INTEGRAL EQUATIONS / Messina, E.; Vecchio, A.. - In: THE JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS. - ISSN 0897-3962. - 33:1(2021), pp. 91-115. [10.1216/jie.2021.33.91]
NUMERICAL ANALYSIS OF ASYMPTOTICALLY CONVOLUTION EVOLUTIONARY INTEGRAL EQUATIONS
Messina E.
;
2021
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
