105 citations · 533 across the 41 of their papers we have counts for
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math.NA2016★ 105 cited
Explicit symplectic approximation of nonseparable Hamiltonians: algorithm and long time performance
Molei Tao
Explicit symplectic integrators have been important tools for accurate and efficient approximations of mechanical systems with separable Hamiltonians. For the first time, the artic…
math.NA2016★ 59 cited
Explicit high-order symplectic integrators for charged particles in general electromagnetic fields
Molei Tao
This article considers non-relativistic charged particle dynamics in both static and non-static electromagnetic fields, which are governed by nonseparable, possibly time-dependent…