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20092026
most citedBoundary and interface methods for energy stable finite difference discretizations of the dynamic beam equation

1 citations · 4 across the 6 of their papers we have counts for

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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…