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Advances in Applied Mathematics and Mechanics
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  • Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

    Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang
    2023-06-21
    37945 3118 Pages:1233-1255
  • Numerical Schemes for Time-Space Fractional Vibration Equations

    Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang
    2021-04-13
    45507 3160 Pages:806-826
  • 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
  • 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
  • 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
  • Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

    Xiaojun Zhou, Chuanju Xu
    2018-08-04
    42161 3083 Pages:574-595
  • Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

    Yayun Fu, Hongliang Liu
    2025-05-12
    8359 515 Pages:1088-1110
  • 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
  • Finite Element $θ$-Schemes for the Acoustic Wave Equation

    Samir Karaa
    2018-08-10
    41812 4130 Pages:181-203
  • On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense

    Ozgur Yildirim
    2025-11-22
    197 2
  • Vortex Capturing Using PNS-WENO Schemes in Uniform and Non Uniform Mesh Formulations

    Demian De Feo, Ning Qin, Trevor J. Birch
    2019-02-13
    41351 4386 Pages:399-429
  • An Efficient Proximity Point Algorithm for Total-Variation-Based Image Restoration

    Wei Zhu, Shi Shu, Lizhi Cheng
    2014-06-01
    44834 4450 Pages:145-164
  • Fourth-Order Structure-Preserving Method for the Conservative Allen-Cahn Equation

    Xiaowei Chen, Xu Qian, Songhe Song
    2022-10-24
    45500 4076 Pages:159-181
  • 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
  • An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model

    Raimund Bürger, Héctor Torres, Carlos A. Vega
    2019-06-24
    44730 3170 Pages:1022-1047
  • 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
  • An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

    Fuzheng Gao, Shangyou Zhang
    2024-12-31
    12876 1125 Pages:538-553
  • 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
  • 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
  • Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

    Hongmei Zhang, Jicheng Jin, Jianyun Wang
    2013-05-01
    41675 4285 Pages:180-193
  • Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations

    Congying Li, Liang Tang, Jie Zhou
    2024-02-29
    27479 2722 Pages:667-691
  • New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

    Yan Zhang, Jun Zhu
    2024-01-04
    26800 2430 Pages:459-492
  • 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
  • High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

    Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang
    2020-04-10
    46510 3286 Pages:664-693
  • A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

    Xi Zhang & Minfu Feng
    2022-04-11
    45286 3596 Pages:936-959
  • Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle

    Qiumei Huang, Kun Jiang, Jingwei Li
    2022-01-24
    42494 3430 Pages:494-527
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