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

  46722 4818 Pages:261-274 Open-access

• Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equation

  Dongdong Hu, Haorong Huang, Yayun Fu, Minghua Chen

  2025-12-22

  1294 97 Pages:1503-1530

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

  Bo Li, Weidong Zhao

  2026-02-01

  4865 457 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

  2026-02-01

  5506 519 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

  46199 4029 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

  48180 4259 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

  11679 906 Pages:804-839

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

  Shijie Qin, Shijun Liao

  2023-06-21

  38467 3101 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

  43034 3875 Pages:1461-1484

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

  Zhiqiang Xin, Chuijie Wu

  2021-07-01

  43672 4529 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

  45020 3294 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

  14756 1283 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

  27663 2889 Pages:608-635

• A Spectral Split-Step Padé Method for Guided Wave Propagation

  Daniel Walsken, Pavel Petrov, Matthias Ehrhardt

  2026-01-30

  985 68 Pages:1602-1615

• A Three-Dimensional Mass-Conserved Multiphase Lattice Boltzmann Flux Solver for Incompressible Flows with Large Density and Viscosity Ratios

  Ehsan Azadi, Mohammad Taeibi Rahni

  2026-01-05

  1168 84 Pages:1531-1553

• 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

  1595 107 Pages:1453-1502

• 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

  1588 106 Pages:1421-1452

• Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems

  Rong Huang, Zhifeng Weng, Jianhua Yuan

  2026-08-01

  845 94 Pages:1242-1268

• Multi-Resolution WENO Method with Adaptive Linear Weights Using Subcell Strategy

  Jianming Wu, Cong Huang, Lili Chen

  2026-08-01

  896 109 Pages:1328-1354

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

  Lukas Einkemmer, Trung-Hau Hoang, Alexander Ostermann

  2026-06-01

  4485 180 Pages:815-832

• Taylor Remainder-Based Discontinuity Detection Method with Application to Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws

  Xin-Ru Liu, Xiao Wen

  2026-06-01

  4303 127 Pages:923-946

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

  Qianhuan Li, Fumei Rong, Zhenhua Chai, Baochang Shi

  2026-06-01

  4312 135 Pages:874-896

• 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

  7307 411 Pages:1841-1866

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

  Ke Zhang, Yiqing Shen

  2025-09-29

  7314 397 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

  2026-04-01

  5226 285 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

  2026-04-01

  5050 199 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

  2026-04-01

  5098 237 Pages:450-481