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math.NA2006
A Conjecture about Molecular Dynamics
P. F. Tupper
An open problem in numerical analysis is to explain why molecular dynamics works. The difficulty is that numerical trajectories are only accurate for very short times, whereas the…
math.NA2006
A Non-Existence Result for Hamiltonian Integrators
P. F. Tupper
We consider the numerical simulation of Hamiltonian systems of ordinary differential equations. Two features of Hamiltonian systems are that energy is conserved along trajectories…