In this paper we consider numerical techniques to locate the event points of the differential system x′=f(x), where f is a discontinuous vector field along an event surface splitting the state space into two different regions R1 and R2 and f(x)=fi(x) when x∈Ri, for i=1,2 while f1(x)≠f2(x) when x∈Σ. Methods based on Adams multistep schemes which approach the event surface Σ from one side only and in a finite number of steps are proposed. Particularly, these techniques do not require the evaluation of the vector field f1 (respectively, f2) in the region R2 (respectively R1) and are based on the computation–at each step– of a new time step

Direct event location techniques based on Adams multistep methods for discontinuous ODEs

DEL BUONO, Nicoletta
;
LOPEZ, Luciano
2015

Abstract

In this paper we consider numerical techniques to locate the event points of the differential system x′=f(x), where f is a discontinuous vector field along an event surface splitting the state space into two different regions R1 and R2 and f(x)=fi(x) when x∈Ri, for i=1,2 while f1(x)≠f2(x) when x∈Σ. Methods based on Adams multistep schemes which approach the event surface Σ from one side only and in a finite number of steps are proposed. Particularly, these techniques do not require the evaluation of the vector field f1 (respectively, f2) in the region R2 (respectively R1) and are based on the computation–at each step– of a new time step
File in questo prodotto:
File Dimensione Formato  
DelBuonoLopez_AppliedMathematicalLetters2015.pdf

non disponibili

Descrizione: PDF articolo inviato dalla rivista
Tipologia: Documento in Versione Editoriale
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 639.64 kB
Formato Adobe PDF
639.64 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
EventLoc-DBNLL_ver3_removed.pdf

accesso aperto

Descrizione: Research Paper
Tipologia: Documento in Pre-print
Licenza: Creative commons
Dimensione 121.87 kB
Formato Adobe PDF
121.87 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/139648
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 7
social impact