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Advances in Applied Mathematics and Mechanics
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  • 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
  • Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

    Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao
    2021-07-01
    56294 4549 Pages:1418-1439
  • An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

    Shouguo Qian, Gang Li, Xianqing Lv, Fengjing Shao
    2018-09-17
    52940 5247 Pages:22-40
  • A New High-Order Conservative Patched Grid Strategy Based on Collapsed Edge

    Yidao Dong, Xiaogang Deng, Yaming Chen, Xu Dan, Guangxue Wang
    2018-09-17
    44318 3017 Pages:611-633
  • Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

    Xiaowei Bi, Demin Liu
    2024-11-01
    15117 1341 Pages:1519-1548
  • An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

    Fuzheng Gao, Shangyou Zhang
    2024-12-31
    12876 1125 Pages:538-553
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

    Shu-Jie Li, Lili Ju
    2025-03-14
    11078 722 Pages:758-777
  • 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
  • Osher Flux with Entropy Fix for Two-Dimensional Euler Equations

    Huajun Zhu, Xiaogang Deng, Meiliang Mao, Huayong Liu, Guohua Tu
    2018-05-05
    41344 2875 Pages:670-692
  • High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems

    Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang
    2023-10-11
    30476 2735 Pages:1602-1630
  • Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

    N. H. Sweilam, M. M. Abou Hasan
    2018-05-05
    42263 2900 Pages:990-1011
  • Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

    Fangfang Fu, Linghua Kong, Lan Wang
    2018-08-10
    41056 4093 Pages:699-710
  • Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

    Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs
    2021-07-01
    43243 4292 Pages:719-736
  • WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

    Qin Li, Sun Dong, Fengyuan Xu
    2021-11-17
    49385 4068 Pages:1441-1484
  • Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

    Qin Li, Qilong Guo, Hanxin Zhang
    2021-07-01
    44930 4414 Pages:809-824
  • A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates

    Tahar Hassaine Daouadji, Abdelouahed Tounsi, El Abbes Adda Bedia
    2013-05-01
    42717 4815 Pages:351-364
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    96 66 Pages:451-480
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    40764 4056 Pages:451-480
  • Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay

    Chengjian Zhang, Siyi Wang, Changyang Tang
    2024-01-04
    27418 2411 Pages:423-436
  • A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

    Adyllyson H. Nascimento, Eugênio S. Rosa
    2023-12-21
    26519 2291 Pages:47-74
  • A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection

    Minqiang Xu, Qingsong Zou
    2023-12-21
    26591 2589 Pages:1-23
  • High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

    Bo Li, Weidong Zhao
    2025-10-14
    4108 288 Pages:322-347
  • 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
  • Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

    Fangzong Wang, Xiaobing Liao, Xiong Xie
    2018-05-05
    43634 4501 Pages:128-144
  • The LMAPS Using Polynomial Basis Functions for Near-Singular Problems

    Zhengzhi Li, Daniel Watson, Ming Li, Thir Dangal
    2018-09-17
    45166 3158 Pages:1090-1102
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44148 3112 Pages:285-311
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I: Basic Formulations and Performance Evaluation

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44110 3110 Pages:255-284
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