Search Results

• A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids

  Wanglong Qin, Junwei Cai, Hongqiang Lu, Peter K. Jimack, M. A. Walkley

  2018-09-17

  46432 4665 Pages:261-274 Open-access

• High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

  Bo Li, Weidong Zhao

  2025-10-14

  4108 288 Pages:322-347

• Numerical Investigation of Dynamics Stall on Vertical Axis Wind Turbine

  Ao Zhang, Haocheng Yu, Jingzhou Zeng, Wei Zhao, Hao Wen, Jianguo Zheng

  2025-10-14

  4659 279 Pages:67-92

• Coupled MRT Lattice Boltzmann Study of Electrokinetic Mixing of Power-Law Fluids in Microchannels with Heterogeneous Surface Potential

  Xuguang Yang, Lei Wang, Baochang Shi

  2021-07-01

  45935 3944 Pages:1478-1496

• Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

  Yingxiong Xiao, Heng Chen and Lingjie Xie

  2021-07-01

  47916 4194 Pages:1376-1397

• Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

  Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang

  2025-03-14

  11235 796 Pages:804-839

• A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos

  Shijie Qin, Shijun Liao

  2023-06-21

  38149 3023 Pages:1191-1215

• Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine

  Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao

  2021-07-01

  42815 3802 Pages:1461-1484

• Topology Optimization of the Caudal Fin of the Three-Dimensional Self-Propelled Swimming Fish

  Zhiqiang Xin, Chuijie Wu

  2021-07-01

  43432 4351 Pages:732-763

• A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

  Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma

  2020-04-10

  44804 3231 Pages:774-796

• An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces

  Kai Jiang, Xin Wang, Jianggang Liu, Huayi Wei

  2024-12-02

  14316 1048 Pages:123-147

• A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model

  Dingwen Deng, Ruyu Zhang

  2024-02-29

  27341 2788 Pages:608-635

• ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

  Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang

  2025-09-29

  5014 252 Pages:1841-1866

• A Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

  Ke Zhang, Yiqing Shen

  2025-09-29

  2298 44 Pages:1761-1788

• Characterizing Natural Convection, Energy, and Thermal Behavior in a Circular Cavity: Finite Element Analysis

  Muhammad Hamid, Muhammad Usman, Waqar Ahmed Khan, Rizwan Ul Haq, Zhenfu Tian

  2025-10-29

  4578 147 Pages:785-814

• First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

  Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang

  2025-10-29

  4466 106 Pages:666-699

• Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

  Yuxin Liang, Dingwen Deng

  2025-10-29

  4519 126 Pages:450-481

• Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

  Shicheng Liu, Xiangyun Meng, Qilong Zhai

  2025-10-14

  4232 265 Pages:348-368

• A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic Equations on Rectangular Domains

  Kejia Pan, Pengde Wang, Jinxuan Wang, Xiaoxin Wu

  2025-10-14

  4525 278 Pages:170-188

• Inexact Iterative WYD Method for Eigenvalue Problems

  Fangyi Zheng, Jianyang Luo, Shuli Sun

  2025-10-14

  2153 90 Pages:93-108

• The Nonconforming Finite Element Methods for Two Transmission Eigenvalue Problems in Inverse Scattering

  Lingling Sun, Hai Bi, Yidu Yang

  2025-10-14

  4650 266 Pages:37-66

• Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

  Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu

  2025-11-22

  168 4

• Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies

  Qingyang Zhang, Lei Xu, Rongliang Chen, Hang Zou, Bo Yang, Jingzhi Li, Jie Liu

  2025-11-22

  171 2

• Should Exponential Integrators be Used for Advection-Dominated Problems?

  Lukas Einkemmer, Trung-Hau Hoang, Alexander Ostermann

  2025-11-22

  176 4

• Two Lattice Boltzmann Models for Three-Dimensional Coupled Burgers’ Equations

  Qianhuan Li, Fumei Rong, Zhenhua Chai, Baochang Shi

  2025-11-19

  213 5

• The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

  Zhiyong Xing, Liping Wen

  2019-06-24

  44375 3171 Pages:942-956

• A Modified Weak Galerkin Method for Stokes Equations

  Li Zhang, Minfu Feng, Jian Zhang

  2019-06-24

  43704 3188 Pages:890-910