One-Sided Difference Approximations for Nonlinear Conservation Laws
نویسندگان
چکیده
منابع مشابه
One-Sided Difference Approximations for Nonlinear Conservation Laws
We analyze one-sided or upwind finite difference approximations to hyperbolic partial differential equations and, in particular, nonlinear conservation laws. Second order schemes are designed for which we prove both nonlinear stability and that the entropy condition is satisfied for limit solutions. We show that no such stable approximation of order higher than two is possible. These one-sided ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1981
ISSN: 0025-5718
DOI: 10.2307/2007646