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Advances in Applied Mathematics and Mechanics
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  • A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

    Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li
    2025-11-28
    93 3
  • A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

    Zhenming Wang, Jun Zhu, Ning Zhao
    2019-06-24
    44516 3089 Pages:911-941
  • High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

    Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang
    2020-06-01
    50131 3372 Pages:972-991
  • A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity

    Bei Zhang, Jikun Zhao
    2020-03-06
    47150 4826 Pages:278-300
  • Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

    Xin Zhao, Yanping Chen
    2018-09-17
    43675 2984 Pages:710-734
  • Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

    Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao
    2022-12-13
    40564 3250 Pages:322-358
  • Air Chemical Non-Equilibrium Effects on the Hypersonic Combustion Flow of RCS with Gaseous Ethylene Fuel

    Faming Zhao, Jiangfeng Wang, Xiaofeng Fan, Tianpeng Yang
    2018-09-17
    43834 3021 Pages:1261-1278
  • A New Error Analysis of Nonconforming $EQ^{rot}_1$ FEM for Nonlinear BBM Equation

    Yanhua Shi, Yanmin Zhao, Fenling Wang, Dongyang Shi
    2018-09-17
    44633 3173 Pages:1227-1246
  • A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

    Shimin Chai, Yongkui Zou, Wenju Zhao
    2019-01-11
    44443 3061 Pages:467-485
  • Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the BiGlobal-$e^N$ Method

    Lei Zhao, Wenqiang Zhou, Xinliang Li, Shaolong Zhang, Yongming Zhang
    2024-05-14
    26057 2621 Pages:805-832
  • A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations

    Ruo Li, Qicheng Liu, Shuhai Zhao
    2024-12-31
    12863 1170 Pages:517-537
  • A Modified Regularized Lattice Boltzmann Method for Coupled Thermal-Solutal Problems of Non-Newtonian Fluids in Heterogeneously Porous Media

    Xuguang Yang, Yong Zhao
    2025-05-12
    8386 530 Pages:1310-1332
  • Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

    Yundan Zhao, Rong An
    2025-05-12
    8540 499 Pages:1063-1087
  • Numerical Analysis of the Mixed 4th-Order Runge-Kutta Scheme of Conditional Nonlinear Optimal Perturbation Approach for the EI Niño-Southern Oscillation Model

    Xin Zhao, Jian Li, Wansuo Duan, Dongqian Xue
    2021-07-01
    43839 3799 Pages:1023-1035
  • Strong Convergence Analysis of Split-Step θ-Scheme for Nonlinear Stochastic Differential Equations with Jumps

    Xu Yang, Weidong Zhao
    2021-07-01
    45199 4037 Pages:1004-1022
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • Sinc Collocation Solutions for the Integral Algebraic Equation of Index-1

    Jingjun Zhao, Yang Cao, Yang Xu
    2018-05-05
    43084 3034 Pages:757-771
  • Sensitivity Analysis of Inflow Conditions and Turbulence Models on Wind Turbine Wake Simulation Using an AD/RANS Approach

    Linlin Tian, Chunling Zhu, Ning Zhao, Wei Zhong, Yilei Song
    2018-09-17
    47118 3394 Pages:978-997
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