10 citations · 28 across the 19 of their papers we have counts for
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math.NA2021★ 2 cited
On the well-posedness of the Galerkin semidiscretization of the periodic initial-value problem of the Serre equations
D. C. Antonopoulos, V. A. Dougalis, D. E. Mitsotakis
We consider the periodic initial-value problem for the Serre equations of water-wave theory and its semidiscrete approximation in the space of smooth periodic polynomial splines. W…
math.NA2021★ 1 cited
Numerical solution of internal-wave systems in the intermediate long wave and the Benjamin-Ono regimes
Vassilios A. Dougalis, Angel Durán, Leetha Saridaki
The paper is concerned with the numerical approximation of the Intermediate Long Wave and Benjamin-Ono systems, that serve as models for the propagation of interfacial internal wav…