Search Results

• Application of Gas-Kinetic Unified Algorithm for Solving Boltzmann Model Equation with Vibrational Energy Excitation

  Fan Li, Zhi-Hui Li, Jia-Zhi Hu, Wen-Qiang Hu

  2025-01-22

  170 111 Pages:250-288

• Loss Jump During Loss Switch in Solving PDEs with Neural Networks

  Zhiwei Wang, Lulu Zhang, Zhongwang Zhang, Zhi-Qin John Xu

  2024-10-29

  146 60 Pages:1090-1112

• Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

  Xiao-Qing Jin, Fu-Rong Lin & Zhi Zhao

  2018-04-03

  38614 3095 Pages:469-488

• A Correction and Comments on “Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains CiCP, 28 (5): 1970–2001, 2020”

  Lulu Zhang, Wei Cai, Zhi-Qin John Xu

  2023-06-06

  40372 2813 Pages:1509-1513

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  306975 3553 Pages:299-335

• A Gas-Kinetic Unified Algorithm for Non-Equilibrium Polyatomic Gas Flows Covering Various Flow Regimes

  Wen-Qiang Hu, Zhi-Hui Li, Ao-Ping Peng, Xin-Yu Jiang

  2021-04-30

  48662 4199 Pages:144-189

• Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

  Ziqi Liu, Wei Cai, Zhi-Qin John Xu

  2020-11-18

  73632 3621 Pages:1970-2001

• A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

  Xi-An Li, Zhi-Qin John Xu, Lei Zhang

  2020-11-18

  67104 3635 Pages:1886-1906

• Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

  Zhi-Qin John Xu, Yaoyu Zhang, Tao Luo, Yanyang Xiao, Zheng Ma

  2020-11-18

  85482 4069 Pages:1746-1767

• Numerical Study on Two-Dimensional Micro-Channel Flows Using the Gas-Kinetic Unified Algorithm

  Shen-Mao Hou, Zhi-Hui Li, Xin-Yu Jiang & Shi Zeng

  2018-08-21

  46884 3498 Pages:1393-1414

• Asymptotic-Preserving Discrete Schemes for Non-Equilibrium Radiation Diffusion Problem in Spherical and Cylindrical Symmetrical Geometries

  Xia Cui, Zhi-Jun Shen & Guang-Wei Yuan

  2018-07-03

  46746 5168 Pages:198-229

• Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations: A Second-Order Scheme

  Yonggui Yan, Zhi-Zhong Sun & Jiwei Zhang

  2017-10-02

  44321 3357 Pages:1028-1048

• Simulating Magnetohydrodynamic Instabilities with Conservative Perturbed MHD Model Using Discontinuous Galerkin Method

  Jun Ma, Wenfeng Guo & Zhi Yu

  2018-04-09

  41580 12082 Pages:1429-1448

• A Two-Stage Image Segmentation Model for Multi-Channel Images

  Zhi Li & Tieyong Zeng

  2018-04-04

  42639 4220 Pages:904-926

• A Nonlinear PIC Algorithm for High Frequency Waves in Magnetized Plasmas Based on Gyrocenter Gauge Kinetic Theory

  Jian Liu, Zhi Yu & Hong Qin

  2020-07-31

  41165 3909 Pages:1167-1183

• A Direct Solver for Initial Value Problems of Rarefied Gas Flows of Arbitrary Statistics

  Jaw-Yen Yang, Bagus Putra Muljadi, Zhi-Hui Li & Han-Xin Zhang

  2014-07-05

  38767 4408 Pages:242-264