1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AP2023★ 1 cited
The continuum limit of non-local Follow-the-Leader models
Helge Holden, Nils Henrik Risebro
We study a generalized Follow-the-Leader model where the driver considers the position of an arbitrary but finite number of vehicles ahead, as well as the position of the vehicle d…
math.AP2013
Operator splitting for the Benjamin-Ono equation
R. Dutta, H. Holden, U. Koley +1
In this paper we analyze operator splitting for the Benjamin-Ono equation, u_t = uu_x + Hu_xx, where H denotes the Hilbert transform. If the initial data are sufficiently regular,…
math.AP2007★ 1 cited
A convergent finite difference method for a nonlinear variational wave equation
H. Holden, K. H. Karlsen, N. H. Risebro
We establish rigorously convergence of a semi-discrete upwind scheme for the nonlinear variational wave equation with and $u_t|_{t=0}…