Articles

• Random Batch Particle Methods for the Homogeneous Landau Equation

  José Antonio Carrillo, Shi Jin, Yijia Tang

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  88569 4963 Pages:997-1019 Open-access

• Convergence Rate Analysis for Deep Ritz Method

  Chenguang Duan, Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Jerry Zhijian Yang

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  58989 3400 Pages:1020-1048

• VAE-KRnet and Its Applications to Variational Bayes

  Xiaoliang Wan, Shuangqing Wei

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  52270 3244 Pages:1049-1082

• An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

  Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan

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  54052 3192 Pages:1083-1113

• Predict Blood Pressure by Photoplethysmogram with the Fluid-Structure Interaction Modeling

  Jianhong Chen, Wenrui Hao, Pengtao Sun, Lian Zhang

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  53307 3172 Pages:1114-1133

• A DDG Method with a Residual-Based Artificial Viscosity for the Transonic/Supersonic Compressible Flow

  Xiaofeng He, Kun Wang, Yiwei Feng, Tiegang Liu, Xiaojun Wang

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  51588 3241 Pages:1134-1161

• Deep Unfitted Nitsche Method for Elliptic Interface Problems

  Hailong Guo, Xu Yang

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  52637 3286 Pages:1162-1179

• Numerical Integrators for Dispersion-Managed KdV Equation

  Ying He, Xiaofei Zhao

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  51175 3173 Pages:1180-1214

• A Priori Subcell Limiting Approach for the FR/CPR Method on Unstructured Meshes

  Guo-Quan Shi, Huajun Zhu, Zhen-Guo Yan

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  50472 3070 Pages:1215-1241

• Hybrid Diffuse and Sharp Interface Immersed Boundary Methods for Particulate Flows in the Presence of Complex Boundaries

  Jianhua Qin, Xiaolei Yang, Zhaobin Li

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  50838 3118 Pages:1242-1271

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

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  52002 3136 Pages:1272-1295

• A Consensus-Based Global Optimization Method with Adaptive Momentum Estimation

  Jingrun Chen, Shi Jin, Liyao Lyu

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  47188 3022 Pages:1296-1316