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math.NA2026
High-Order Structure-Preserving SBP Finite Difference Methods for the Vlasov-Maxwell System on Matrix-Free GPUs
Robin Dymér, Ken Mattsson, Murtazo Nazarov
In this paper, we present a high-order, stable summation-by-parts (SBP) finite difference method for solving the Vlasov-Maxwell system in a 2D2V phase space. Central SBP operators…
math.NA2026
Boundary-optimized closures for diagonal-norm upwind SBP operators
Ken Mattsson, David Niemelä, Andrew R. Winters
By employing non-equispaced grid points near boundaries, boundary-optimized upwind finite-difference operators of orders up to nine are developed. The boundary closures are constru…