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20152026
most citedSplit Form Nodal Discontinuous Galerkin Schemes with Summation-By-Parts Property for the Compressible Euler Equations

350 citations · 1.2k across the 53 of their papers we have counts for

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Showing 2025 · math.NAShow all

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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

Entropy-Stable Discontinuous Spectral-Element Methods for the Spherical Shallow Water Equations in Covariant Form

Tristan Montoya, Andrés M. Rueda-Ramírez, Gregor J. Gassner

We introduce discontinuous spectral-element methods of arbitrary order that are well balanced, conservative of mass, and conservative or dissipative of total energy (i.e., a mathem…