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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  46586 3648 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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  39397 3311 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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  41320 3496 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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  38921 3157 Pages:452-476

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

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  40521 3355 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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  38944 3238 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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  39453 3320 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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  39193 3387 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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  41082 3304 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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  37810 3096 Pages:628-646