79 citations · 638 across the 61 of their papers we have counts for
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math.NA2018★ 43 cited
A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics
Klas Modin, Milo Viviani
The incompressible 2D Euler equations on a sphere constitute a fundamental model in hydrodynamics. The long-time behaviour of solutions is largely unknown; statistical mechanics pr…
math.NA2018★ 32 cited
Lie-Poisson methods for isospectral flows
Klas Modin, Milo Viviani
The theory of isospectral flows comprises a large class of continuous dynamical systems, particularly integrable systems and Lie--Poisson systems. Their discretization is a classic…