an:05674622
Zbl 1186.35005
B??rger, Raimund; Karlsen, Kenneth H.; Towers, John D.
A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions
EN
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).
2009
a
35A35 65M06 35L65 90B20
entropy; flux; crossing condition
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].
Prabhat Kumar Mahanti (Saint John)