Articles

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

  Jihao Long, Jiequn Han, Weinan E

  191-220

  https://doi.org/10.4208/csiam-am.SO-2021-0026

  • Preview
  • Requires Subscription Full PDF

  39820 3120

• On Symmetry Breaking of Allen-Cahn

  Dong Li, Chaoyu Quan, Tao Tang, Wen Yang

  221-243

  https://doi.org/10.4208/csiam-am.SO-2021-0030

  • Preview
  • Requires Subscription Full PDF

  40846 3219

• 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

  244-272

  https://doi.org/10.4208/csiam-am.SO-2021-0015

  • Preview
  • Requires Subscription Full PDF

  39333 3126

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

  Haicheng Liu, Bin Ge, Jihong Shen

  273-298

  https://doi.org/10.4208/csiam-am.SO-2021-0033

  • Preview
  • Requires Subscription Full PDF

  37915 3139

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

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

  299-317

  https://doi.org/10.4208/csiam-am.SO-2020-0006

  • Preview
  • Requires Subscription Full PDF

  38197 3219

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

  Hong-Lin Liao, Tao Tang, Tao Zhou

  318-334

  https://doi.org/10.4208/csiam-am.SO-2021-0032

  • Preview
  • Requires Subscription Full PDF

  39153 3143

• On the Distance Cospectrality of Threshold Graphs

  Zhenzhen Lou, Jianfeng Wang, Qiongxiang Huang

  335-350

  https://doi.org/10.4208/csiam-am.SO-2021-0005

  • Preview
  • Requires Subscription Full PDF

  37097 3172