A Survey of Numerical Methods for IVPs of ODEs with Discontinuous Right-Hand Side

Abstract

This work is dedicated to the memory of Donato Trigiante who has been the first teacher of Numerical Analysis of the second author. We remember Donato as a generous teacher, always ready to discuss with his students, able to give them profound and interesting suggestions. Here, we present a survey of numerical methods for differential systems with discontinuous right hand side. In particular, we will review methods where the discontinuities are detected by using an event function (so-called event driven methods) and methods where the discontinuities are located by controlling the local errors (so-called time-stepping methods). Particular attention will be devoted to discontinuous systems of Filippov’s type where sliding behavior on the discontinuity surface is allowed.


Autore Pugliese

Tutti gli autori

  • LOPEZ L.

Titolo volume/Rivista

Non Disponibile


Anno di pubblicazione

2012

ISSN

0377-0427

ISBN

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Numero di citazioni Wos

37

Ultimo Aggiornamento Citazioni

Non Disponibile


Numero di citazioni Scopus

48

Ultimo Aggiornamento Citazioni

Non Disponibile


Settori ERC

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Codici ASJC

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