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Advances in Applied Mathematics and Mechanics
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  • High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

    Junming Duan, Huazhong Tang
    2020-03-06
    141982 5685 Pages:1-29
  • High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao
    2021-04-13
    44910 3214 Pages:827-849
  • High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

    Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang
    2020-01-17
    49137 3346 Pages:436-479
  • A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

    Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng
    2023-04-11
    38006 3131 Pages:1076-1108
  • 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
  • New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation

    Jinliang Yan, Ming-Chih Lai, Zhilin Li, Zhiyue Zhang
    2018-05-05
    41583 3003 Pages:250-271
  • The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

    Rooholah Abedian, Mehdi Dehghan
    2023-04-11
    38309 3187 Pages:1023-1055
  • 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
  • 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
  • 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 Numerical Study of Two-Fluid Models with Pressure and Velocity Relaxation

    Svend Tollak Munkejord
    2010-02-01
    40382 3863 Pages:131-159
  • Contaminant Flow and Transport Simulation in Cracked Porous Media Using Locally Conservative Schemes

    Pu Song, Shuyu Sun
    2012-04-01
    42171 4619 Pages:389-421
  • A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes

    Tiao Lu, Xingchun Yu, Wenqi Yao
    2025-11-22
    149 4
  • 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
  • A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications

    Zhiping Qiu, Nan Jiang
    2021-11-17
    48257 3978 Pages:1535-1557
  • Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes

    Wang Kong, Zhenying Hong, Guangwei Yuan, Zhiqiang Sheng
    2022-12-13
    39083 4971 Pages:402-427
  • 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
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law III: Characteristic-Wise Hybrid Method

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2022-01-24
    41301 3235 Pages:415-441
1 - 18 of 18 items
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