In a recent paper, the weighted essentially non-oscillatory (WENO) numerical scheme was applied to solve a multi-class Lighthill-Whitham-Richards (MCLWR) traffic flow model (J. Comput. Phys. 2003; 191:639-659). We discuss and present an enhanced WENO scheme with Lax-Friedrichs flux splitting by improving the estimation of the minimal characteristic speed of the MCLWR model, which is based on a set of inequalities of eigenvalues. Copyright © 2009 John Wiley & Sons, Ltd.link_to_subscribed_fulltex
The purpose of this thesis is to implement Finite Volume Weighted Essentially Non-Oscillatory (FV-WE...
Modelling traffic flow has been around since the appearance of traffic jams. Ideally, if we can corr...
Click on the DOI link to access the article (may not be free).Improvements in the numerical algorith...
As a new attempt to solve hyperbolic conservation laws with spatially varying fluxes, the weighted e...
This article describes the development of a high order finite volume method for the solution of tran...
Abstract. This article describes the development of a high order finite volume method for the soluti...
In this paper we explicitly construct the entropy solutions for the Lighthill-Whitham-Richards (LWR)...
The analytical shock-fitting algorithm outperforms traditional numerical methods in solving the Ligh...
We consider an extension of the classical Lighthill-Whitham-Richards traffic flow model, in which th...
This paper proposes a common-weights weighted essentially non-oscillatory (Co-WENO) scheme for solvi...
Abstract. We use a front tracking algorithm to explicitly construct entropy solutions for the Lighth...
We show how to view the standard Follow-the-Leader (FtL) model as a numerical method to compute nume...
We develop in this article an improved version of the fth-order weighted essentially non-oscillatory...
In this short note we address the issue of numerical resolution and efficiency of high order weighte...
In ([10], JCP 227 No. 6, 2008, pp. 3101–3211), the authors have designed a new fifth order WENO fini...
The purpose of this thesis is to implement Finite Volume Weighted Essentially Non-Oscillatory (FV-WE...
Modelling traffic flow has been around since the appearance of traffic jams. Ideally, if we can corr...
Click on the DOI link to access the article (may not be free).Improvements in the numerical algorith...
As a new attempt to solve hyperbolic conservation laws with spatially varying fluxes, the weighted e...
This article describes the development of a high order finite volume method for the solution of tran...
Abstract. This article describes the development of a high order finite volume method for the soluti...
In this paper we explicitly construct the entropy solutions for the Lighthill-Whitham-Richards (LWR)...
The analytical shock-fitting algorithm outperforms traditional numerical methods in solving the Ligh...
We consider an extension of the classical Lighthill-Whitham-Richards traffic flow model, in which th...
This paper proposes a common-weights weighted essentially non-oscillatory (Co-WENO) scheme for solvi...
Abstract. We use a front tracking algorithm to explicitly construct entropy solutions for the Lighth...
We show how to view the standard Follow-the-Leader (FtL) model as a numerical method to compute nume...
We develop in this article an improved version of the fth-order weighted essentially non-oscillatory...
In this short note we address the issue of numerical resolution and efficiency of high order weighte...
In ([10], JCP 227 No. 6, 2008, pp. 3101–3211), the authors have designed a new fifth order WENO fini...
The purpose of this thesis is to implement Finite Volume Weighted Essentially Non-Oscillatory (FV-WE...
Modelling traffic flow has been around since the appearance of traffic jams. Ideally, if we can corr...
Click on the DOI link to access the article (may not be free).Improvements in the numerical algorith...