5 citations · 17 across the 13 of their papers we have counts for
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math.NA2019★ 1 cited
Numerical analysis of a semilinear fractional diffusion equation
Binjie Li, Tao Wang, Xiaoping Xie
This paper considers the numerical analysis of a semilinear fractional diffusion equation with nonsmooth initial data. A new Grönwall's inequality and its discrete version are prop…
math.NA2019★ 1 cited
Analysis of a time-stepping discontinuous Galerkin method for fractional diffusion-wave equation with nonsmooth data
Binjie Li, Tao Wang, Xiaoping Xie
This paper analyzes a time-stepping discontinuous Galerkin method for fractional diffusion-wave problems. This method uses piecewise constant functions in the temporal discretizati…
math.NA2019★ 5 cited
Analysis of the L1 scheme for fractional wave equations with nonsmooth data
Binjie Li, Tao Wang, Xiaoping Xie
This paper analyzes the well-known L1 scheme for fractional wave equations with nonsmooth data. A new stability estimate is obtained, and the temporal accuracy $ \mathcal O(τ^{3-α}…