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20092026
most citedAsymptotic shallow water models for internal waves in a two-fluid system with a free surface

43 citations · 378 across the 28 of their papers we have counts for

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math.NA2025

The Fourier spectral approach to the spatial discretization of quasilinear hyperbolic systems

Vincent Duchêne, Johanna Ulvedal Marstrander

We discuss the rigorous justification of the spatial discretization by means of Fourier spectral methods of quasilinear first-order hyperbolic systems. We provide uniform stability…