5 citations · 10 across the 11 of their papers we have counts for
4 papers · 1 filter
Error Estimates for Systems of Nonlocal Balance Laws Modeling Dense Multilane Vehicular Traffic
Aekta Aggarwal, Helge Holden, Ganesh Vaidya
We discuss a class of coupled systems of nonlocal nonlinear balance laws modeling multilane traffic, with the nonlocality present in both convective and source terms. The uniquenes…
Well-posedness and error estimates for coupled systems of nonlocal conservation laws
Aekta Aggarwal, Helge Holden, Ganesh Vaidya
This article deals with the error estimates for numerical approximations of the entropy solutions of coupled systems of nonlocal hyperbolic conservation laws. The systems can be st…
Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux
Aekta Aggarwal, Ganesh Vaidya
We study a class of nonlinear nonlocal conservation laws with discontinuous flux, modeling crowd dynamics and traffic flow, without any additional conditions on finiteness/discrete…
On the accuracy of the finite volume approximations to nonlocal conservation laws
Aekta Aggarwal, Helge Holden, Ganesh Vaidya
In this article, we discuss the error analysis for a certain class of monotone finite volume schemes approximating nonlocal scalar conservation laws, modeling traffic flow and crow…