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Advances in Applied Mathematics and Mechanics
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  • LWDG Method for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway

    Tiantian Sun, Jianxian Qiu
    2018-08-10
    40536 4006 Pages:438-450
  • A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems

    Yanmeng Wang, Jun Zhu, Lianglin Xiong
    2019-06-24
    45841 3286 Pages:1114-1135
  • A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

    Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song
    2019-01-04
    47416 5050 Pages:53-71
  • 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
    71719 3037 Pages:1379-1406
  • 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
  • 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
  • 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
  • Numerical Approximation of Oscillatory Solutions of Hyperbolic-Elliptic Systems of Conservation Laws by Multiresolution Schemes

    Stefan Berres, Raimund Bürger, Alice Kozakevicius
    2018-08-10
    40107 4028 Pages:581-614
  • Numerical Simulation of Deflagration to Detonation Transition in a Straight Duct: Effects of Energy Release and Detonation Stability

    Hua-Shu Dou, Zongmin Hu, Boo Cheong Khoo, Zonglin Jiang
    2021-07-01
    43619 4506 Pages:718-731
  • A Fifth-Order Low-Dissipative Conservative Upwind Compact Scheme Using Centered Stencil

    Conghai Wu, Sujuan Yang, Ning Zhao
    2021-07-01
    42859 4268 Pages:830-848
  • A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

    Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou, Meilan Qiu
    2023-12-21
    26831 2415 Pages:181-207
  • The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

    Rooholah Abedian
    2025-05-12
    8325 494 Pages:1275-1309
  • High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

    Yue Liu, Zhen Gao, Peng Li, Yaguang Gu
    2024-12-31
    12913 1204 Pages:554-579
  • 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
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