In this talk we describe techniques that allow to enlarge the absolute stability regions of classical explicit numerical methods for Ordinary Differential Equations (ODEs). The basic idea of these techniques consists in the modification of method coefficients, which result in depending on the Jacobian of the ODE to be solved. We then analyze the possibility to apply these methodologies to numerical methods for Fractional Differential Equations (FDEs), in order to obtain an improvement in terms of accuracy and stability properties. This is a joint work with Prof. Beatrice Paternoster and Dajana Conte.

Equation dependent numerical methods for FDEs

Conte Dajana;Pagano Giovanni
;
Paternoster Beatrice
2021-01-01

Abstract

In this talk we describe techniques that allow to enlarge the absolute stability regions of classical explicit numerical methods for Ordinary Differential Equations (ODEs). The basic idea of these techniques consists in the modification of method coefficients, which result in depending on the Jacobian of the ODE to be solved. We then analyze the possibility to apply these methodologies to numerical methods for Fractional Differential Equations (FDEs), in order to obtain an improvement in terms of accuracy and stability properties. This is a joint work with Prof. Beatrice Paternoster and Dajana Conte.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4769536
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