Vol. 33 No. 2 (2023)

Articles

Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
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46369 3577 Pages:367-398
Numerical Study on Viscous Fingering Using Electric Fields in a Hele-Shaw Cell

Meng Zhao, Pedro Anjos, John Lowengrub, Wenjun Ying, Shuwang Li
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39154 3206 Pages:399-424
Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
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41010 3389 Pages:425-451
A One-Dimensional Second-Order Cell-Centered Lagrangian Scheme Satisfying the Entropy Condition

Zhong-Ze Li, Li Liu, Jun-Bo Cheng
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38703 3101 Pages:452-476
A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

Weiwen Wang, Chuanju Xu
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40289 3292 Pages:477-510
A Posteriori Error Estimate of Weak Galerkin FEM for Stokes Problem Using Auxiliary Subspace Techniques

Jiachuan Zhang, Ran Zhang, Xiaoshen Wang
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38719 3190 Pages:511-537
SDF-Based ILW: Inverse Lax-Wendroff Method with the Signed Distance Function Representation of the Geometric Boundary

Cheng Peng, Shihao Liu, Zhouwang Yang
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39230 3260 Pages:538-567
Weak Galerkin Method for Second-Order Elliptic Equations with Newton Boundary Condition

Mingze Qin, Ruishu Wang, Qilong Zhai, Ran Zhang
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38969 3296 Pages:568-595
Convergence of Physics-Informed Neural Networks Applied to Linear Second-Order Elliptic Interface Problems

Sidi Wu, Aiqing Zhu, Yifa Tang, Benzhuo Lu
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40769 3224 Pages:596-627
Band Structure Calculations of Dispersive Photonic Crystals in 3D Using Holomorphic Operator Functions

Wenqiang Xiao, Bo Gong, Junshan Lin, Jiguang Sun
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37563 3039 Pages:628-646