106 citations · 730 across the 45 of their papers we have counts for
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math.NA2015★ 14 cited
Numerical simulation of conservation laws with moving grid nodes: Application to tsunami wave modelling
Gayaz Khakimzyanov, Denys Dutykh, Dimitrios Mitsotakis +1
In the present article we describe a few simple and efficient finite volume type schemes on moving grids in one spatial dimension combined with appropriate predictor-corrector meth…
math.NA2015★ 29 cited
A modified Galerkin/finite element method for the numerical solution of the Serre-Green-Naghdi system
Dimitrios Mitsotakis, Costas Synolakis, Mark Mcguinness
A new modified Galerkin / Finite Element Method is proposed for the numerical solution of the fully nonlinear shallow water wave equations. The new numerical method allows the use…