Conservative integrators for piecewise smooth systems with transversal dynamics
Anil N. Hirani,
Andy T. S. Wan,
Nikolas Wojtalewicz
Abstract:We introduce conservative integrators for long term integration of piecewise smooth systems with transversal dynamics and piecewise smooth conserved quantities. In essence, for a piecewise dynamical system with piecewise defined conserved quantities where its trajectories cross transversally to its interface, we combine Mannshardt's transition scheme and the Discrete Multiplier Method to obtain conservative integrators capable of preserving conserved quantities up to machine precision and accuracy order. We pr… Show more
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