On the accuracy of the finite volume approximations to nonlocal conservation laws
Ganesh Vaidya, Department of Mathematical Sciences, NTNU, Trondheim, Norway.
| Speaker |
Ganesh Vaidya, Department of Mathematical Sciences, NTNU, Trondheim, Norway.
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|---|---|
| When |
Jun 16, 2023
from 04:00 PM to 05:00 PM |
| Where | LH-111 (TIFR CAM) |
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Abstract.
This talk focusses on the error analysis for a certain class of monotone finite volume schemes approximating nonlocal conservation laws, modelling traffic flow/crowd dynamics. We first discuss a Kuznetov type lemma for such PDEs and thereby prove that the finite volume approximations converge to the entropy solution at an optimal rate of $\sqrt{\Delta t}$ in $L^1(\mathbb{R})$.
This is a joint work with Aekta Aggarwal(IIM-Indore) and Helge Holden(NTNU).