Title
Making Big Steps In Trajectories
Abstract
We consider the solution of initial value problems within the context of hybrid systems and emphasise the use of high precision approximations (in software for exact real arithmetic). We propose a novel algorithm for the computation of trajectories up to the area where discontinuous jumps appear, applicable for holomorphic flow functions. Examples with a prototypical implementation illustrate that the algorithm might provide results with higher precision than well-known ODE solvers at a similar computation time.
Year
DOI
Venue
2010
10.4204/EPTCS.24.15
ELECTRONIC PROCEEDINGS IN THEORETICAL COMPUTER SCIENCE
Keywords
DocType
Volume
initial value problem,control,hybrid system,numerical analysis
Journal
abs/1006.0
Issue
ISSN
Citations 
24
2075-2180
4
PageRank 
References 
Authors
0.61
4
2
Name
Order
Citations
PageRank
Norbert Th. Müller17112.11
Margarita V. Korovina28415.61