We consider differential problems deriving from applications in real phenomena, where some characteristics and properties of the exact solution are a-priori known. Our aim is to develop numerical techniques that are able to preserve such features and that have excellent stability properties. In particular, we will focus on stiff differential problems, whose exact solution is positive and/or oscillates with known frequency. Numerical tests will be shown in order to confirm the efficiency, stability and accuracy of the proposed numerical methods.

Adapted numerical schemes for differential problems

Giovanni Pagano
;
Dajana Conte;Beatrice Paternoster
2021

Abstract

We consider differential problems deriving from applications in real phenomena, where some characteristics and properties of the exact solution are a-priori known. Our aim is to develop numerical techniques that are able to preserve such features and that have excellent stability properties. In particular, we will focus on stiff differential problems, whose exact solution is positive and/or oscillates with known frequency. Numerical tests will be shown in order to confirm the efficiency, stability and accuracy of the proposed numerical methods.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4769532
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