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

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



Titolo: Direct event location techniques based on Adams multistep methods for discontinuous ODEs
Autori: 
DEL BUONO, Nicoletta
LOPEZ, Luciano
Data di pubblicazione: 2015
Rivista: 
APPLIED MATHEMATICS LETTERS  
Handle: http://hdl.handle.net/11586/139648
Appare nelle tipologie:1.1 Articolo in rivista

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