Articles

• An $L^2$ Analysis of Reinforcement Learning in High Dimensions with Kernel and Neural Network Approximation

  Jihao Long, Jiequn Han, Weinan E

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  39946 3155 Pages:191-220

• On Symmetry Breaking of Allen-Cahn

  Dong Li, Chaoyu Quan, Tao Tang, Wen Yang

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  40963 3256 Pages:221-243

• Numerical Research for the 2D Vorticity-Stream Function Formulation of the Navier-Stokes Equations and Its Application in Vortex Merging at High Reynolds Numbers

  Jue Wang, Hongwei Ding, Lei Zhang

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  39464 3168 Pages:244-272

• Spatiotemporal Dynamics in a Generalized Diffusive Population System of Natural Pinus Koraiensis with Time Delay

  Haicheng Liu, Bin Ge, Jihong Shen

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  38020 3170 Pages:273-298

• Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

  Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang

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  38329 3254 Pages:299-317

• A New Discrete Energy Technique for Multi-Step Backward Difference Formulas

  Hong-Lin Liao, Tao Tang, Tao Zhou

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  39237 3194 Pages:318-334

• On the Distance Cospectrality of Threshold Graphs

  Zhenzhen Lou, Jianfeng Wang, Qiongxiang Huang

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  37212 3225 Pages:335-350