Articles

• Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models

  Simin Shekarpaz, Fanhai Zeng, George Karniadakis

  1-37

  https://doi.org/10.4208/cicp.OA-2023-0121

  • Preview
  • Full PDF

  29622 2646

• An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems

  Qiuqi Li, Chang Liu, Mengnan Li, Pingwen Zhang

  38-69

  https://doi.org/10.4208/cicp.OA-2023-0163

  • Preview
  • Full PDF

  29262 2735

• A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

  Pei Zhang, Yanli Wang, Zhennan Zhou

  70-106

  https://doi.org/10.4208/cicp.OA-2023-0141

  • Preview
  • Full PDF

  28860 2368

• An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

  Xiaolong Zhao, Shicang Song, Xijun Yu, Shijun Zou, Fang Qing

  107-138

  https://doi.org/10.4208/cicp.OA-2023-0015

  • Preview
  • Full PDF

  28645 2437

• Variational Low-Light Image Enhancement Based on Fractional-Order Differential

  Qianting Ma, Yang Wang, Tieyong Zeng

  139-159

  https://doi.org/10.4208/cicp.OA-2022-0197

  • Preview
  • Full PDF

  28646 2618

• On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

  Logan J. Cross, Xiangxiong Zhang

  160-180

  https://doi.org/10.4208/cicp.OA-2023-0206

  • Preview
  • Full PDF

  28279 2558

• A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

  Yuan Hu, Chang Liu, Huayun Shen, Shiyang Zou, Baolin Tian

  181-211

  https://doi.org/10.4208/cicp.OA-2023-0161

  • Preview
  • Full PDF

  28852 2453

• Domain Decomposition Methods for Diffusion Problems with Discontinuous Coefficients Revisited

  Xuyang Na, Xuejun Xu

  212-238

  https://doi.org/10.4208/cicp.OA-2023-0184

  • Preview
  • Full PDF

  28457 2548

• A New Upwind Finite Volume Element Method for Convection-Diffusion-Reaction Problems on Quadrilateral Meshes

  Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li

  239-272

  https://doi.org/10.4208/cicp.OA-2023-0189

  • Preview
  • Full PDF

  30069 2538