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  • Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

    Huimin Ma, Pengzhan Huang
    2026-02-01
    5109 364 Pages:109-133
  • A First-Order Linear Energy Stable Scheme for the Cahn–Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxation

    Minghui Yu, Rui Chen
    2026-02-06
    47 0
  • High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementation

    Futuan Li, Hongwei Li, Tao Tang, Jiang Yang
    2026-01-30
    83 12
  • 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
    656 9
  • Numerical Simulation of Phase-Field Round and Square Crystal Models on Curved Dynamic Substrates via the Evolving Surface Finite Element Method

    Xufeng Xiao, Lulu Liu, Xiao Yu, Xinlong Feng
    2025-11-19
    680 10
  • High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

    Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang
    2020-06-01
    50266 3401 Pages:972-991
  • Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

    Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun
    2020-01-17
    77819 3597 Pages:503-526
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    48690 5012 Pages:251-277
  • A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation

    Yin Yang, Jianyong Tao, Shangyou Zhang, Petr V. Sivtsev
    2020-03-06
    49588 5005 Pages:57-86
  • High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

    Junming Duan, Huazhong Tang
    2020-03-06
    142170 5812 Pages:1-29
  • Study of Secondary Instability of a Streaky Boundary Layer Under Spanwise-Localized Free-Stream Vortical Disturbances

    Yongming Zhang, Xiangzhen Chen, Jisheng Luo
    2019-04-16
    47648 3190 Pages:686-699
  • A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44189 4863 Pages:242-260
  • Quadrotor Convergence Trajectory Optimization Model Based on Minimum Energy Consumption

    Biao Zhang, Peng Xiao, Hongliang Liu, Mingyue Ma, Qian Wang, Zhi Mao
    2018-09-17
    45627 3193 Pages:673-689
  • Numerical Simulation of Tumor Growth Based on the Free Boundary Element Discretization

    Yarong Zhang, Yinnian He, Hongbin Chen
    2018-09-17
    44289 3114 Pages:529-553
  • Comparative Study of Implicit and Explicit Immersed Boundary-Lattice Boltzmann Methods for Simulation of Fluid-Structure Interactions

    J. Y. Shao, N. Y. Liu
    2018-09-17
    44832 3208 Pages:1173-1190
  • Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

    Xiaowei Bi, Demin Liu
    2024-11-01
    15308 1385 Pages:1519-1548
  • A Surrogate Reduced Order Model of the Unsteady Advection Dominant Problems Based on Combination of Deep Autoencoders-LSTM and POD

    Mahdi Kherad, Mohammad Kazem Moayyedi, Faranak Fotouhi
    2024-11-01
    15902 1428 Pages:1410-1450
  • A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration

    Qijia Zhai, Qingguo Hong, Xiaoping Xie
    2024-11-01
    15933 1424 Pages:1328-1357
  • Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes

    Wensheng Zhang, Atish Kumar Joardar, Fei Wu
    2024-07-22
    26419 2387 Pages:1121-1151
  • A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

    Dianming Hou, Lili Ju, Zhonghua Qiao
    2024-07-22
    33588 2503 Pages:1009-1038
  • An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow

    Hui Sun, Lulu Tian, Hui Guo
    2025-03-14
    11373 808 Pages:888-908
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

    Shu-Jie Li, Lili Ju
    2025-03-14
    11299 776 Pages:758-777
  • Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrödinger Equation

    Yayun Fu, Gengen Zhang, Xu Qian, Songhe Song
    2025-07-19
    7895 507 Pages:1430-1455
  • Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

    Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li
    2023-10-11
    71888 3083 Pages:1379-1406
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction

    Shujie Li, Lili Ju
    2023-02-24
    37871 3241 Pages:814-830
  • An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory

    Ting Wang, Jie Zhou, Guanghui Hu
    2023-02-24
    39155 3826 Pages:719-736 Open-access
  • A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

    Jun Yang, Nianyu Yi
    2023-02-24
    40129 3480 Pages:583-601
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