Adaptive Integration of Nonsmooth Dynamical Systems
Technical Report,01 Apr 2016,30 Dec 2017
George Washington University Washington United States
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The project seeks to produce accurate solutions of differential complementarity problems, which are used to model nonsmooth systems, through use of adaptive integration and simulation techniques. The proposal suggested using guard functions, functions that yield a safe, generally conservative integration step size such that the trajectory of the system from t0 to t0 dt lies strictly within the admissible region for all unilateral constraints. Put another way- we aim to avoid integrating over nonsmooth events. Through such avoidance, we can find intervals where the system trajectory is smooth. Then tools for smooth systems apply, e.g., higher order integration techniques and integration with error control.
- Numerical Mathematics