Articles

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

  Simin Shekarpaz, Fanhai Zeng, George Karniadakis

  • Preview
  • Full PDF

  29765 2735 Pages:1-37

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

  Qiuqi Li, Chang Liu, Mengnan Li, Pingwen Zhang

  • Preview
  • Full PDF

  29419 2802 Pages:38-69

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

  Pei Zhang, Yanli Wang, Zhennan Zhou

  • Preview
  • Full PDF

  28985 2438 Pages:70-106

• 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

  • Preview
  • Full PDF

  28808 2537 Pages:107-138

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

  Qianting Ma, Yang Wang, Tieyong Zeng

  • Preview
  • Full PDF

  28787 2707 Pages:139-159

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

  Logan J. Cross, Xiangxiong Zhang

  • Preview
  • Full PDF

  28431 2655 Pages:160-180

• 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

  • Preview
  • Full PDF

  28992 2555 Pages:181-211

• Domain Decomposition Methods for Diffusion Problems with Discontinuous Coefficients Revisited

  Xuyang Na, Xuejun Xu

  • Preview
  • Full PDF

  28594 2620 Pages:212-238

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

  Ang Li, Hongtao Yang, Yulong Gao, Yonghai Li

  • Preview
  • Full PDF

  30218 2646 Pages:239-272