139 citations · 631 across the 46 of their papers we have counts for
54 papers
Characteristic Mapping Method for Vlasov-Poisson with BGK-collisions
Xi-Yuan Yin, Philipp Krah, Zetao Lin +2
This work presents the first steps for simulating kinetic plasmas with collisions using the characteristic mapping method (CMM). The CMM is a semi-Lagrangian method that explores a…
A Hybrid semi-Lagrangian Flow Mapping Approach for Vlasov Systems: Combining Iterative and Compositional Flow Maps
Philipp Krah, Zetao Lin, R. -Paul Wilhelm +4
We propose a hybrid semi-Lagrangian scheme for the Vlasov--Poisson equation that combines the Numerical Flow Iteration (NuFI) method with the Characteristic Mapping Method (CMM). B…
Noncommutative Laplacian and numerical approximation of Laplace-Beltrami spectrum of compact Riemann surfaces
Damien Tageddine, Jean-Christophe Nave
We derive a numerical approximation of the Laplace-Beltrami operator on compact surfaces embedded in with an axial symmetry. To do so we use a noncommutative Laplace…
Diffeomorphic Neural Operator Learning
Seth Taylor, Alex Bihlo, Jean-Christophe Nave
We present an operator learning approach for a class of evolution operators using a composition of a learned lift into the space of diffeomorphisms of the domain and the group acti…
A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics
Xi-Yuan Yin, Philipp Krah, Jean-Christophe Nave +1
This work introduces a generalized characteristic mapping method designed to handle non-linear advection with source terms. The semi-Lagrangian approach advances the flow map, inco…
Structure preserving discretization: A Berezin-Toeplitz Quantization viewpoint
Damien Tageddine, Jean-Christophe Nave
In this paper, we introduce a comprehensive axiomatization of structure-preserving discretization through the framework of commutative diagrams. By establishing a formal language t…