Abstract | ||
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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 |
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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. Müller | 1 | 71 | 12.11 |
Margarita V. Korovina | 2 | 84 | 15.61 |