21 citations · 67 across the 13 of their papers we have counts for
3 papers · 1 filter
Symplectic Isospectral Runge--Kutta Methods as Lie group methods
Paolo Cifani, Klas Modin, Cecilia Pagliantini +1
We compare three approaches for structure preserving numerical integration of isospectral flows on quadratic Lie algebras. Such flows originate from Hamiltonian dynamics on the cot…
Sparse-stochastic model reduction for 2D Euler equations
Paolo Cifani, Sagy Ephrati, Milo Viviani
The 2D Euler equations are a simple but rich set of non-linear PDEs that describe the evolution of an ideal inviscid fluid, for which one dimension is negligible. Solving numerical…
Casimir preserving stochastic Lie-Poisson integrators
Erwin Luesink, Sagy Ephrati, Paolo Cifani +1
Casimir preserving integrators for stochastic Lie-Poisson equations with Stratonovich noise are developed extending Runge-Kutta Munthe-Kaas methods. The underlying Lie-Poisson stru…