In this paper we are concerned with numerical methods for the one-sided event location in discontinuous differential problems, whose event function is nonlinear (in particular, of polynomial type). The original problem is transformed into an equivalent Poisson problem, which is effectively solved by suitably adapting a recently devised class of energy-conserving methods for Poisson systems. The actual implementation of the methods is fully discussed, with a particular emphasis to the problem at hand. Some numerical tests are reported, to assess the theoretical findings.
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function / Amodio, Pierluigi; Brugnano, Luigi; Iavernaro, Felice. - In: APPLIED NUMERICAL MATHEMATICS. - ISSN 0168-9274. - STAMPA. - 179:(2022), pp. 39-49. [10.1016/j.apnum.2022.04.013]
Arbitrary high-order methods for one-sided direct event location in discontinuous differential problems with nonlinear event function
Brugnano, Luigi
;
2022
Abstract
In this paper we are concerned with numerical methods for the one-sided event location in discontinuous differential problems, whose event function is nonlinear (in particular, of polynomial type). The original problem is transformed into an equivalent Poisson problem, which is effectively solved by suitably adapting a recently devised class of energy-conserving methods for Poisson systems. The actual implementation of the methods is fully discussed, with a particular emphasis to the problem at hand. Some numerical tests are reported, to assess the theoretical findings.File | Dimensione | Formato | |
---|---|---|---|
1-s2.0-S0168927422001064-main.pdf
Open Access dal 01/05/2024
Descrizione: versione accettata
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Creative commons
Dimensione
995.06 kB
Formato
Adobe PDF
|
995.06 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.