6 citations · 11 across the 2 of their papers we have counts for
4 papers
Supplementary Variable Method for Developing Structure-Preserving Numerical Approximations to Thermodynamically Consistent Partial Differential Equations
Yuezheng Gong, Qi Hong, Qi Wang
We present a new temporal discretization paradigm for developing energy-production-rate preserving numerical approximations to thermodynamically consistent partial differential equ…
Arbitrarily High-order Linear Schemes for Gradient Flow Models
Yuezheng Gong, Jia Zhao, Qi Wang
We present a paradigm for developing arbitrarily high order, linear, unconditionally energy stable numerical algorithms for gradient flow models. We apply the energy quadratization…
Arbitrarily High-order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models
Yuezheng Gong, Jia Zhao, Qi Wang
We present a systematical approach to developing arbitrarily high order, unconditionally energy stable numerical schemes for thermodynamically consistent gradient flow models that…
Arbitrarily High-order Unconditionally Energy Stable Schemes for Gradient Flow Models Using the Scalar Auxiliary Variable Approach
Yuezheng Gong, Jia Zhao, Qi Wang
In this paper, we propose a novel family of high-order numerical schemes for the gradient flow models based on the scalar auxiliary variable (SAV) approach, which is named the high…