An important topic in the numerical analysis of Volterra Integral Equations is the stability theory. Although significative results are available in the linear convolution case, many important questions are still opened in the nonlinear case. Here, we review some well known results and show some recent advances which represent a further step in the construction of a global theory. This theory has mathematical significance in its own but, at least in part, attempts to generate insight into the performance of real life models.
Numerical stability theory for Volterra integral equations / Messina, Eleonora; A., Vecchio. - (2013). (Intervento presentato al convegno CIMAB \& GASVA SIMAI Workshop on Theoretical Approaches and Related Mathematical Methods in Biology, Medicine and Environment tenutosi a Milano, Italia nel 4-6 Aprile 2013).
Numerical stability theory for Volterra integral equations
MESSINA, ELEONORA;
2013
Abstract
An important topic in the numerical analysis of Volterra Integral Equations is the stability theory. Although significative results are available in the linear convolution case, many important questions are still opened in the nonlinear case. Here, we review some well known results and show some recent advances which represent a further step in the construction of a global theory. This theory has mathematical significance in its own but, at least in part, attempts to generate insight into the performance of real life models.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
