Browsing NTNU Open by Author "Risebro, Nils Henrik"
Now showing items 1-7 of 7
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Continuum limit of Follow-the-Leader models – a short proof
Holden, Helge; Risebro, Nils Henrik (Journal article, 2018)We offer a simple and self-contained proof that the Follow-the-Leader model converges to the Lighthill-Whitham-Richards model for traffic flow. -
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation
Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik (Journal article, 2015)We prove convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation. Both the decaying case on the full line and the periodic case are considered. If the initial data u|t=0 = u0 is of high ... -
Follow-the-leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow
Holden, Helge; Risebro, Nils Henrik (Journal article; Peer reviewed, 2018) -
Front Tracking for Hyperbolic Conservation Laws
Holden, Helge; Risebro, Nils Henrik (Applied mathematical sciences;, Book, 2015) -
Models for dense multilane vehicular traffic
Risebro, Nils Henrik; Holden, Helge (Journal article; Peer reviewed, 2019)We study vehicular traffic on a road with multiple lanes and dense, unidirectional traffic following the traditional Lighthill--Whitham--Richards model where the velocity in each lane depends only on the density in the ... -
Operator splitting for the Benjamin-Ono equation
Dutta, Rajib; Holden, Helge; Koley, Ujjwal; Risebro, Nils Henrik (Journal article; Peer reviewed, 2015)In this paper we analyze operator splitting for the Benjamin–Ono equation, ut=uux+Huxx, where H denotes the Hilbert transform. If the initial data are sufficiently regular, we show the convergence of both Godunov and Strang ... -
The Cauchy problem for a model of immiscible gas flow with large data
Sande, Hilde (Doctoral Theses at NTNU, 1503-8181; 2009:4, Doctoral thesis, 2009)