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math.NA2017
Numerical approximation to Benjamin type equations. Generation and stability of solitary waves
Vassilios A. Dougalis, Angel Duran, Dimitrios Mitsotakis
This paper is concerned with the study, by computational means, of the generation and stability of solitary-wave solutions of generalized versions of the Benjamin equation. The num…
math.NA2017
Error estimates for Galerkin approximations of the Serre equations
Dimitrios Antonopoulos, Vassilios Dougalis, Dimitrios Mitsotakis
We consider the Serre system of equations which is a nonlinear dispersive system that models two-way propagation of long waves of not necessarily small amplitude on the surface of…