32 citations · 67 across the 22 of their papers we have counts for
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math.NA2017
A new numerical approach to inverse transport equation with error analysis
Qin Li, Ruiwen Shu, Li Wang
The inverse radiative transfer problem finds broad applications in medical imaging, atmospheric science, astronomy, and many other areas. This problem intends to recover the optica…
math.NA2017★ 2 cited
Asymptotic-preserving and positivity-preserving implicit-explicit schemes for the stiff BGK equation
Jingwei Hu, Ruiwen Shu, Xiangxiong Zhang
We develop a family of second-order implicit-explicit (IMEX) schemes for the stiff BGK kinetic equation. The method is asymptotic-preserving (can capture the Euler limit without nu…
math.NA2017★ 1 cited
Sensitivity analysis of Burgers' equation with shocks
Qin Li, Jian-Guo Liu, Ruiwen Shu
Generalized polynomial chaos (gPC) method has been extensively used in uncertainty quantification problems where equations contain random variables. For gPC to achieve high accurac…