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;
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/593245
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