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Advances in Applied Mathematics and Mechanics
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  • 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
  • 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 Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

    Xiaohua Zhang, Shengfeng Wang
    2025-10-29
    4500 129 Pages:482-518
  • A Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

    Ke Zhang, Yiqing Shen
    2025-09-29
    2298 44 Pages:1761-1788
  • A New Finite Difference Well-Balanced Mapped Unequal-Sized WENO Scheme for Solving Shallow Water Equations

    Liang Li, Zhenming Wang, Jun Zhu
    2024-07-22
    25910 2462 Pages:1176-1196
  • A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes

    Shengzhu Cui, Zhanjing Tao, Jun Zhu
    2022-06-13
    43391 3533 Pages:1059-1086
  • An Implicit-Explicit Scheme for the Radiation Hydrodynamics

    Yaoli Fang
    2020-12-18
    46533 3229 Pages:404-425
  • A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations

    Rong An, Can Zhou, Jian Su
    2020-01-17
    47190 3235 Pages:362-385
  • Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

    Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng
    2018-09-17
    44679 3089 Pages:1191-1226
  • A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

    Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma
    2024-11-01
    15838 1410 Pages:1358-1380
  • A High-Accuracy Finite Difference Scheme for Solving Reaction-Convection-Diffusion Problems with a Small Diffusivity

    Po-Wen Hsieh, Suh-Yuh Yang, Cheng-Shu You
    2014-06-01
    43070 4465 Pages:637-662
  • A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

    Uttam Singh Rajput, Krishna Mohan Singh
    2021-11-18
    49800 4422 Pages:275-298
  • A Fourth Order WENO Scheme for Hyperbolic Conservation Laws

    Xiaohan Cheng, Jianhu Feng, Supei Zheng
    2020-06-01
    52399 3492 Pages:992-1007
  • A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

    Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song
    2018-09-17
    47079 6152 Pages:114-137
  • High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations

    Shujiang Tang
    2024-05-14
    25085 2340 Pages:980-1008
  • A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

    Dianming Hou, Lili Ju, Zhonghua Qiao
    2024-07-22
    33439 2463 Pages:1009-1038
  • Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

    Dong Liu, Weihua Deng
    2025-05-12
    8299 493 Pages:1204-1238
  • A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes

    Moussa Ziggaf, Imad Kissami, Mohamed Boubekeur, Fayssal Benkhaldoun
    2023-06-21
    37328 2971 Pages:1335-1378
  • An Efficient Numerical Solution Method for Elliptic Problems in Divergence Form

    Ali Abbas
    2014-06-01
    41809 4239 Pages:327-344
  • The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

    Jinting Yang, Hongxia Liang, Tong Zhang
    2021-07-01
    47534 4104 Pages:1481-1519
  • Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

    Chao Lu, Qinghua Li, Tong Zhang
    2025-10-04
    4619 135 Pages:601-641
  • A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44063 4798 Pages:242-260
  • Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

    Yongxing Hong, Jun Lu, Ji Lin, Wen Chen
    2019-01-04
    46110 4988 Pages:108-131
  • A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

    Yufang Gao, Shengxiang Chang, Changna Lu
    2024-11-01
    15116 1370 Pages:1451-1473
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • 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
  • A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

    Wei Gao, Yang Liu, Bin Cao, Hong Li
    2012-04-01
    41216 4342 Pages:617-635
1 - 27 of 299 items
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