Articles

• Two-Scale Neural Networks for Partial Differential Equations with Small Parameters

  Qiao Zhuang, Chris Ziyi Yao, Zhongqiang Zhang, George Em Karniadakis

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  6003 511 Pages:603-629

• A Second-Order Langevin Sampler Preserving Positive Volume for Isothermal–Isobaric Ensemble

  Lei Li, Yuzhou Peng

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  5986 410 Pages:630-660

• A Network Based Approach for Unbalanced Optimal Transport on Surfaces

  Jiangong Pan, Wei Wan, Yuejin Zhang, Chenlong Bao, Zuoqiang Shi

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  6018 382 Pages:661-683

• Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

  Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang

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  5916 407 Pages:684-710

• Absorbing Boundary Conditions for Variable Potential Schrödinger Equations via Titchmarsh-Weyl Theory

  Matthias Ehrhardt, Chunxiong Zheng

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  5847 356 Pages:711-728

• Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

  Meng Li, Yihang Guo, Jingjiang Bi

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  5837 370 Pages:729-765

• A Modified Characteristic-Wise WENO Reconstruction for Capturing the Contact Discontinuity in Multi-Component Flows

  Jianyu Qin, Yiqing Shen, Yi Cheng, Biao Zhou

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  5875 385 Pages:766-790

• The Discrete Direct Deconvolution Model in the Large Eddy Simulation of Turbulence

  Ning Chang, Zelong Yuan, Yunpeng Wang, Jianchun Wang

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  5932 406 Pages:791-849

• Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions

  Fang Feng, Hui Yang, Shengfeng Zhu

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  5931 388 Pages:850-886

• A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

  Zhijie Du, Huoyuan Duan, Duowei Zhu

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  5938 392 Pages:887-922