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Summer of Code - Getting Started: Difference between revisions
→Geometric integrators for Hamiltonian Systems
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* Velocity Verlet method, see [http://en.wikipedia.org/wiki/Verlet_integration here] | * Velocity Verlet method, see [http://en.wikipedia.org/wiki/Verlet_integration here] | ||
* Spectral Variational Integrator methods, see [http://www3.nd.edu/~izaguirr/papers/acta_numerica.pdf here] or [http://www.math.ucsd.edu/~mleok/pdf/HaLe2012_SVI.pdf here] | * Spectral Variational Integrator methods, see [http://www3.nd.edu/~izaguirr/papers/acta_numerica.pdf here] or [http://www.math.ucsd.edu/~mleok/pdf/HaLe2012_SVI.pdf here] | ||
* | * Symplectic partitioned Runge-Kutta methods, see [http://reference.wolfram.com/mathematica/tutorial/NDSolveSPRK.html here] or | ||
For this latter there is an existing code which is already working but needs to be improved, posted on the patch tracker | [http://homepage.math.uiowa.edu/~ljay/publications.dir/Sympl2158439.pdf here] | ||
For this latter there is an existing code which is already working but needs to be improved, posted on the patch tracker. | |||
Furthermore, methods to implement solutions of problems with rigid constraints should be implemented, e.g. | Furthermore, methods to implement solutions of problems with rigid constraints should be implemented, e.g. | ||
* SHAKE, see [http://en.wikipedia.org/wiki/Constraint_algorithm here] or [http://physics.ujep.cz/~mlisal/md/qshake.pdf here] | * SHAKE, see [http://en.wikipedia.org/wiki/Constraint_algorithm here] or [http://physics.ujep.cz/~mlisal/md/qshake.pdf here] | ||