Gradient Entropy Estimate and Convergence of a Semi-Explicit Scheme for Diagonal Hyperbolic Systems
نویسندگان
چکیده
منابع مشابه
Gradient Entropy Estimate and Convergence of a Semi-Explicit Scheme for Diagonal Hyperbolic Systems
In this paper, we consider diagonal hyperbolic systems with monotone continuous initial data. We propose a natural semi-explicit and upwind first order scheme. Under a certain non-negativity condition on the Jacobian matrix of the velocities of the system, there is a gradient entropy estimate for the hyperbolic system. We show that our scheme enjoys a similar gradient entropy estimate at the di...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2014
ISSN: 0036-1429,1095-7170
DOI: 10.1137/130950458