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math.NA2016
The Discrete Stochastic Galerkin Method for Hyperbolic Equations with Non-smooth and Random Coefficients
Shi Jin, Zheng Ma
We develop a general polynomial chaos (gPC) based stochastic Galerkin (SG) for hyperbolic equations with random and singular coefficients. Due to the singu- lar nature of the solut…
math.NA2016
Explicit and implicit TVD schemes for conservation laws with Caputo derivatives
Jian-Guo Liu, Zheng Ma, Zhennan Zhou
In this paper, we investigate numerical approximations of the scalar conservation law with the Caputo derivative, which introduces the memory effect. We construct the first order a…