199 citations · 659 across the 34 of their papers we have counts for
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Backward difference formula: The energy technique for subdiffusion equation
Minghua Chen, Fan Yu, Zhi Zhou
Based on the equivalence of A-stability and G-stability, the energy technique of the six-step BDF method for the heat equation has been discussed in [Akrivis, Chen, Yu, Zhou, Math.…
Analysis of (shifted) piecewise quadratic polynomial collocation for nonlocal diffusion model
Minghua Chen, Jiankang Shi, Xiaobo Yin
The piecewise quadratic polynomial collocation is used to approximate the nonlocal model, which generally obtain the {\em nonsymmetric indefinite system} [Chen et al., IMA J. Numer…
The energy technique for the six-step BDF method
Georgios Akrivis, Minghua Chen, Fan Yu +1
In combination with the Grenander--Szegö theorem, we observe that a relaxed positivity condition on multipliers, milder than the basic %fundamental requirement of the Nevanlinna--O…
Correction of BDFk for fractional Feynman-Kac equation with Lévy flight
Jiankang Shi, Minghua Chen
In this work, we present the correction formulas of the -step BDF convolution quadrature at the starting steps for the fractional Feynman-Kac equation with Lévy flight. Th…
DeepOPF: A Feasibility-Optimized Deep Neural Network Approach for AC Optimal Power Flow Problems
Xiang Pan, Minghua Chen, Tianyu Zhao +1
High percentage penetrations of renewable energy generations introduce significant uncertainty into power systems. It requires grid operators to solve alternative current optimal p…
Fast and High-order Accuracy Numerical Methods for Time-Dependent Nonlocal Problems in $\mathbb{R}^2
Rongjun Cao, Minghua Chen, Michael K. Ng +1
In this paper, we study the Crank-Nicolson method for temporal dimension and the piecewise quadratic polynomial collocation method for spatial dimensions of time-dependent nonlocal…