576 citations · 1.9k across the 50 of their papers we have counts for
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Structure-Preserving Discretization of Incompressible Fluids
Dmitry Pavlov, Patrick Mullen, Yiying Tong +3
The geometric nature of Euler fluids has been clearly identified and extensively studied over the years, culminating with Lagrangian and Hamiltonian descriptions of fluid dynamics…
Non-intrusive and structure preserving multiscale integration of stiff ODEs, SDEs and Hamiltonian systems with hidden slow dynamics via flow averaging
Molei Tao, Houman Owhadi, Jerrold E. Marsden
We introduce a new class of integrators for stiff ODEs as well as SDEs. These integrators are (i) {\it Multiscale}: they are based on flow averaging and so do not fully resolve the…
Fast Generation of Potentials for Self-Assembly of Particles
Philip du Toit, Katalin Grubits, Jerrold Marsden +1
We address the inverse problem of designing isotropic pairwise particle interaction potentials that lead to the formation of a desired lattice when a system of particles is cooled.…