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Variable stepsize Lie group integrator

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This is a MATLAB code for the comparison of the performance of constant and variable step size methods. The Runge-Kutta-Munthe-Kaas (RKMK) pair coming from Dormand–Prince method (DOPRI 5(4), also denoted as RKMK(5,4)) is compared to RKMK of order 5 (denoted by RKMK5). The methods are tested on the N-fold 3D pendulum example.

Matlab code.

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N-fold 3D pendulum: variable stepsize Lie group integrator

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