H. Holden

activity

20072023

most citedThe continuum limit of non-local Follow-the-Leader models

1 citations · 2 across the 3 of their papers we have counts for

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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 $u_{tt} - c (u) (c (u) u_{x})_{x} = 0$ with $u ∣_{t = 0} = u_{0}$ and $u_t|_{t=0}…