Articles

• Learning PDEs from Data on Closed Surfaces with Sparse Optimization

  Zhengjie Sun, Leevan Ling, Ran Zhang

  • Preview
  • Full PDF

  182 58 Pages:289-314

• Hamiltonian Reduction Using a Convolutional Auto-Encoder Coupled to a Hamiltonian Neural Network

  Raphaël Côte, Emmanuel Franck, Laurent Navoret, Guillaume Steimer, Vincent Vigon

  • Preview
  • Full PDF

  188 68 Pages:315-352

• Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method

  Zhihao Li, Boyi Zou, Haiqin Wang, Jian Su, Dong Wang, Xinpeng Xu

  • Preview
  • Full PDF

  263 68 Pages:353-382

• Implicit Discrete Unified Gas Kinetic Scheme for Steady Flows of Binary Gas Mixtures

  Yue Zhang, Chuang Zhang, Xinliang Song, Zhaoli Guo

  • Preview
  • Full PDF

  198 41 Pages:383-419

• Approximating Numerical Fluxes Using Fourier Neural Operators for Hyperbolic Conservation Laws

  Taeyoung Kim, Myungjoo Kang

  • Preview
  • Full PDF

  204 76 Pages:420-456

• A Fast Offline/Online Forward Solver for Stationary Transport Equation with Multiple Inflow Boundary Conditions and Varying Coefficients

  Jingyi Fu, Min Tang

  • Preview
  • Full PDF

  182 69 Pages:457-497

• Stabilized Continuous Linear Element Method for the Biharmonic Problems

  Ying Cai, Hailong Guo, Zhimin Zhang

  • Preview
  • Full PDF

  174 58 Pages:498-520

• Finding Similarity of Orbits Between Two Discrete Dynamical Systems via Optimal Principle

  Yuting Chen, Yong Li

  • Preview
  • Full PDF

  182 39 Pages:521-546

• A Parallel Fully Implicit Unstructured Finite Volume Lattice Boltzmann Method for Incompressible Flows

  Lei Xu, Rongliang Chen, Xiao-Chuan Cai

  • Preview
  • Full PDF

  190 54 Pages:547-574

• An Efficient Reduced-Order Model Based on Dynamic Mode Decomposition for Parameterized Spatial High-Dimensional PDEs

  Yifan Lin, Xiang Sun, Jie Nie, Yuanhong Chen, Zhen Gao

  • Preview
  • Full PDF

  192 54 Pages:575-602