12 citations · 21 across the 26 of their papers we have counts for
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math.AP2014
Convergence of a higher-order scheme for Korteweg-de Vries equation
Rajib Dutta, Ujjwal Koley, Nils Henrik Risebro
We study the convergence of higher order schemes for the Cauchy problem associated to the KdV equation. More precisely, we design a Galerkin type implicit scheme which has higher o…
math.AP2014
Convergence of finite difference schemes for the Benjamin-Ono equation
Rajib Dutta, Helge Holden, Ujjwal Koley +1
In this paper, we analyze finite difference schemes for Benjamin-Ono equation, u_t = uu_x + Hu_{xx}, where H denotes the Hilbert transform. Both the decaying case on the full line…
math.NA2014
High-order energy stable numerical schemes for a nonlinear variational wave equation modeling nematic liquid crystals in two dimensions
U. Koley, P. Aursand
We consider a nonlinear variational wave equation that models the dynamics of the director field in nematic liquid crystals with high molecular rotational inertia. Being derived fr…