14 citations · 21 across the 4 of their papers we have counts for
4 papers
High Fidelity simulations of the multi-species Vlasov equation in the electro-static, collisional-less limit
Rostislav-Paul Wilhelm, Jan Eifert, Manuel Torrilhon
The accurate prediction of occurrence and strength of kinetic instabilities in plasmas remains a significant challenge in nuclear fusion research. To accurately capture the plasmas…
Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations
Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon
A novel optimization procedure for the generation of stability polynomials of stabilized explicit Runge-Kutta methods is devised. Intended for semidiscretizations of hyperbolic par…
Gaussian Process Regression for Maximum Entropy Distribution
Mohsen Sadr, Manuel Torrilhon, M. Hossein Gorji
Maximum-Entropy Distributions offer an attractive family of probability densities suitable for moment closure problems. Yet finding the Lagrange multipliers which parametrize these…
Linear regularized 13-moment equations with Onsager boundary conditions for general gas molecules
Zhenning Cai, Manuel Torrilhon, Siyao Yang
We develop the steady-state regularized 13-moment equations in the linear regime for rarefied gas dynamics with general collision models. For small Knudsen numbers, the model is ac…