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math.NA2025
SBP-FDEC: Summation-by-Parts Finite Difference Exterior Calculus
Daniel Bach, Andrés M. Rueda-Ramírez, Eric Sonnendrücker +2
We demonstrate that we can carry over the strategy of Finite Element Exterior Calculus (FEEC) to Summation-by-Parts (SBP) Finite Difference (FD) methods to achieve divergence- and…
math.NA2025★ 1 cited
Local cubic spline interpolation for Vlasov-type equations on a multi-patch geometry
Pauline Vidal, Emily Bourne, Virginie Grandgirard +2
We present a semi-Lagrangian method for the numerical resolution of Vlasov-type equations on multi-patch meshes. Following N. Crouseilles et al. [A parallel Vlasov solver based on…