Making big steps in trajectories

Details Making big steps in trajectories Making big steps in trajectories

2010-06-02

arxiv.org/abs/1006.0401v1

EPTCS 24, 2010, pp. 106-119

Computer Science

Mathematical Software

Scientific paper

10.4204/EPTCS.24.15

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.

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