10 citations · 28 across the 19 of their papers we have counts for
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math.NA2018
On the standard Galerkin method with explicit RK4 time stepping for the Shallow Water equations
D. c. Antonopoulos, V. a. Dougalis, G. Kounadis
We consider a simple initial-boundary-value problem for the shallow water equations in one space dimension. We discretize the problem in space by the standard Galerkin finite eleme…
math.NA2018
On error estimates for Galerkin finite element methods for the Camassa-Holm equation
D. C. Antonopoulos, V. A. Dougalis, D. E. Mitsotakis
We consider the Camassa-Holm (CH) equation, a nonlinear dispersive wave equation that models one-way propagation of long waves of moderately small amplitude. We discretize in space…
math.NA2018
Semidiscrete approximation to Benjamin-type equations
Vassilios A. Dougalis, Angel Duran
In this paper a semidiscrete Fourier pseudospectral method for approximating Benjamin-type equations is introduced and analyzed. A study of convergence is presented.