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Local cubic spline interpolation for Vlasov-type equations on a multi-patch geometry.
Pauline Vidal, Emily Bourne, Virginie Grandgirard, Michel Mehrenberger and Eric Sonnendrücker Journal of Scientific Computing 106(2) (2026) https://doi.org/10.1007/s10915-025-03161-z
Neural semi-Lagrangian method for high-dimensional advection-diffusion problems
Emmanuel Franck, Victor Michel-Dansac, Laurent Navoret and Vincent Vigon Computer Methods in Applied Mechanics and Engineering 448 118481 (2026) https://doi.org/10.1016/j.cma.2025.118481
A positivity-preserving Active Flux method for the Vlasov-Poisson system
Benjamin Boutin, Anaïs Crestetto, Nicolas Crouseilles and Josselin Massot SIAM Journal on Scientific Computing 46(3) A1574 (2024) https://doi.org/10.1137/22M154301X
A performance portable implementation of the semi-Lagrangian algorithm in six dimensions
Nils Schild, Mario Räth, Sebastian Eibl, Klaus Hallatschek and Katharina Kormann Computer Physics Communications 295 108973 (2024) https://doi.org/10.1016/j.cpc.2023.108973
A Conservative Eulerian–Lagrangian Runge–Kutta Discontinuous Galerkin Method for Linear Hyperbolic System with Large Time Stepping
Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large-scale GPU-equipped supercomputers
Lukas Einkemmer and Alexander Moriggl The International Journal of High Performance Computing Applications 37(2) 180 (2023) https://doi.org/10.1177/10943420221137599
Comparison of Semi-Lagrangian Discontinuous Galerkin Schemes for Linear and Nonlinear Transport Simulations
Noiseless Vlasov–Poisson simulations with linearly transformed particles
Martin Campos Pinto, Eric Sonnendrücker, Alex Friedman, David P. Grote and Steve M. Lund Journal of Computational Physics 275 236 (2014) https://doi.org/10.1016/j.jcp.2014.06.032
Semi-Lagrangian Discontinuous Galerkin Schemes for Some First and Second Order Partial Differential Equations