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A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. (English) Zbl 1186.35005
Tadmor, Eitan (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Contributed talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4730-5/hbk; 978-0-8218-4728-2/2-vol. set). Proceedings of Symposia in Applied Mathematics 67, Part 2, 455-464 (2009).
This author develops a scalar monotone difference scheme and presented its convergence and uniqueness. The theorems are developed with sound mathematical theory, and numerical experiments are performed for validation.
For the entire collection see [Zbl 1179.35009].

35A35 Theoretical approximation in context of PDEs
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L65 Hyperbolic conservation laws
90B20 Traffic problems in operations research