Qiao, Dianliang; Lin, Zhiyang; Guo, Mingmin; Yang, Xiaoxia; Li, Xiaoyang; Zhang, Peng; Zhang, Xiaoning Riemann solvers of a conserved high-order traffic flow model with discontinuous fluxes. (English) Zbl 1510.65205 Appl. Math. Comput. 413, Article ID 126648, 11 p. (2022). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{D. Qiao} et al., Appl. Math. Comput. 413, Article ID 126648, 11 p. (2022; Zbl 1510.65205) Full Text: DOI
Bürger, Raimund; Chalons, Christophe; Ordoñez, Rafael; Villada, Luis Miguel A multiclass Lighthill-Whitham-Richards traffic model with a discontinuous velocity function. (English) Zbl 1473.65095 Netw. Heterog. Media 16, No. 2, 187-219 (2021). MSC: 65M06 35L45 35L65 76A99 PDFBibTeX XMLCite \textit{R. Bürger} et al., Netw. Heterog. Media 16, No. 2, 187--219 (2021; Zbl 1473.65095) Full Text: DOI
Towers, John D. Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities. (English) Zbl 1395.65042 Numer. Math. 139, No. 4, 939-969 (2018). MSC: 65M08 65M12 35L65 PDFBibTeX XMLCite \textit{J. D. Towers}, Numer. Math. 139, No. 4, 939--969 (2018; Zbl 1395.65042) Full Text: DOI
Towers, John D. Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. (English) Zbl 1406.35190 J. Hyperbolic Differ. Equ. 15, No. 2, 175-190 (2018). MSC: 35L65 65M06 65M08 65M12 PDFBibTeX XMLCite \textit{J. D. Towers}, J. Hyperbolic Differ. Equ. 15, No. 2, 175--190 (2018; Zbl 1406.35190) Full Text: DOI
Andreianov, Boris; Cancès, Clément On interface transmission conditions for conservation laws with discontinuous flux of general shape. (English) Zbl 1336.35230 J. Hyperbolic Differ. Equ. 12, No. 2, 343-384 (2015). Reviewer: Evgeniy Panov (Novgorod) MSC: 35L65 35R05 65M08 PDFBibTeX XMLCite \textit{B. Andreianov} and \textit{C. Cancès}, J. Hyperbolic Differ. Equ. 12, No. 2, 343--384 (2015; Zbl 1336.35230) Full Text: DOI
Andreianov, Boris; Cancès, Clément Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks’ medium. (English) Zbl 1392.76033 Comput. Geosci. 17, No. 3, 551-572 (2013). MSC: 76M12 35L02 35L65 65M08 76S05 PDFBibTeX XMLCite \textit{B. Andreianov} and \textit{C. Cancès}, Comput. Geosci. 17, No. 3, 551--572 (2013; Zbl 1392.76033) Full Text: DOI
Wiens, Jeffrey K.; Stockie, John M.; Williams, J. F. Riemann solver for a kinematic wave traffic model with discontinuous flux. (English) Zbl 1302.65206 J. Comput. Phys. 242, 1-23 (2013). MSC: 65M08 35L65 90B20 35C05 35L45 76M12 PDFBibTeX XMLCite \textit{J. K. Wiens} et al., J. Comput. Phys. 242, 1--23 (2013; Zbl 1302.65206) Full Text: DOI arXiv
Andreianov, Boris; Cancès, Clément The Godunov scheme for scalar conservation laws with discontinuous bell-shaped flux functions. (English) Zbl 1253.65122 Appl. Math. Lett. 25, No. 11, 1844-1848 (2012). MSC: 65M06 PDFBibTeX XMLCite \textit{B. Andreianov} and \textit{C. Cancès}, Appl. Math. Lett. 25, No. 11, 1844--1848 (2012; Zbl 1253.65122) Full Text: DOI
Zhang, Peng; Wong, S. C.; Xu, Zhenli A hybrid scheme for solving a multi-class traffic flow model with complex wave breaking. (English) Zbl 1425.35194 Comput. Methods Appl. Mech. Eng. 197, No. 45-48, 3816-3827 (2008). MSC: 35Q91 90B20 65M99 PDFBibTeX XMLCite \textit{P. Zhang} et al., Comput. Methods Appl. Mech. Eng. 197, No. 45--48, 3816--3827 (2008; Zbl 1425.35194) Full Text: DOI