209 citations · 396 across the 13 of their papers we have counts for
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math.NA2019★ 2 cited
Global constraints preserving SAV schemes for gradient flows
Qing Cheng, Jie Shen
We develop several efficient numerical schemes which preserve exactly the global constraints for constrained gradient flows. Our schemes are based on the SAV approach combined with…
math.NA2019★ 209 cited
A new Lagrange Multiplier approach for gradient flows
Qing Cheng, Chun Liu, Jie Shen
We propose a new Lagrange Multiplier approach to design unconditional energy stable schemes for gradient flows. The new approach leads to unconditionally energy stable schemes that…
math.NA2019★ 12 cited
A new interface capturing method for Allen-Cahn type equations based on a flow dynamic approach in Lagrangian coordinates, I. One-dimensional case
Q. Cheng, Chun liu, J. Shen
We develop a new Lagrangian approach --- flow dynamic approach to effectively capture the interface in the Allen-Cahn type equations. The underlying principle of this approach is t…