Numerical approximations of one-dimensional linear conservation equations with discontinuous coefficients
Open Access
- 1 March 2000
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 69 (231) , 987-1016
- https://doi.org/10.1090/s0025-5718-00-01185-6
Abstract
International audienceConservative linear equations arise in many areas of application, including continuum mechanics or high-frequency geometrical optics approximations. This kind of equations admits most of the time solutions which are only bounded measures in the space variable known as duality solutions. In this paper, we study the convergence of a class of finite-differences numerical schemes and introduce an appropriate concept of consistency with the continuous problem. Some basic examples including computational results are also suppliedKeywords
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