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Conservation Laws with Nonlocal Velocity: The Singular Limit Problem
Jan Friedrich, Simone Göttlich, Alexander Keimer and Lukas Pflug SIAM Journal on Applied Mathematics 84(2) 497 (2024) https://doi.org/10.1137/22M1530471
Asymptotic Compatibility of a Class of Numerical Schemes for a Nonlocal Traffic Flow Model
Convergence of a second-order scheme for non-local conservation laws
Veerappa Gowda G. D., Sudarshan Kumar Kenettinkara and Nikhil Manoj ESAIM: Mathematical Modelling and Numerical Analysis 57(6) 3439 (2023) https://doi.org/10.1051/m2an/2023080
On the singular limit problem for a discontinuous nonlocal conservation law
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws
Alexandre Bayen, Jan Friedrich, Alexander Keimer, Lukas Pflug and Tanya Veeravalli SIAM Journal on Applied Dynamical Systems 21(2) 1495 (2022) https://doi.org/10.1137/20M1366654
On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels
Giuseppe Maria Coclite, Nicola De Nitti, Alexander Keimer and Lukas Pflug Zeitschrift für angewandte Mathematik und Physik 73(6) (2022) https://doi.org/10.1007/s00033-022-01766-0
GPU‐accelerated simulation of a non‐local conservation law