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math.NA2022
Analysis of an Explicit, High-Order Semi-Lagrangian Nodal Method
Gustaaf B. Jacobs, Hareshram Natarajan, Pavel Popov +1
A discrete analysis of the phase and dissipation errors of an explicit, semi-Lagrangian spectral element method is performed. The semi-Lagrangian method advects the Lagrange interp…
math.NA2022★ 3 cited
On the Theoretical Foundation of Overset Grid Methods for Hyperbolic Problems II: Entropy Bounded Formulations for Nonlinear Conservation Laws
David A. Kopriva, Gregor J. Gassner, Jan Nordstrom
We derive entropy conserving and entropy dissipative overlapping domain formulations for systems of nonlinear hyperbolic equations in conservation form, such as would be approximat…