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.
Anno di pubblicazione
2012
ISSN
0377-0427
ISBN
Non Disponibile
Numero di citazioni Wos
37
Ultimo Aggiornamento Citazioni
Non Disponibile
Numero di citazioni Scopus
48
Ultimo Aggiornamento Citazioni
Non Disponibile
Settori ERC
Non Disponibile
Codici ASJC
Non Disponibile
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