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Advances in Applied Mathematics and Mechanics
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  • A Comparison Study of Numerical Methods for Compressible Two-Phase Flows

    Jianyu Lin, Hang Ding, Xiyun Lu, Peng Wang
    2018-05-05
    45489 3069 Pages:1111-1132
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    118609 5935 Pages:1318-1354
  • Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

    Wangbo Luo, Yanxiang Zhao
    2024-12-02
    17311 1077 Pages:69-103
  • A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

    Zhendong Luo
    2014-06-01
    42778 4334 Pages:615-636
  • Reduction of Numerical Oscillations in Simulating Moving-Boundary Problems by the Local DFD Method

    Yang Zhang, Chunhua Zhou
    2018-05-05
    44064 4462 Pages:145-165
  • An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

    Huanying Bian, Yedan Shen, Guanghui Hu
    2021-11-17
    49444 3990 Pages:1418-1440
  • A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation

    Fei Teng, Zhendong Luo
    2020-12-18
    43334 3231 Pages:355-377
  • Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

    Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt
    2025-10-14
    4535 261 Pages:134-169
  • Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

    Hongyu Chen, Guanghui Hu, Defang Ouyang
    2025-11-19
    209 3
  • A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

    Yixiao Ge, Ting Tan, Jing An
    2020-04-10
    46140 3294 Pages:815-834
  • Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

    Dong Liu, Weihua Deng
    2025-05-12
    8299 493 Pages:1204-1238
  • Numerical Investigation and Wind Tunnel Validation on Near-Wake Vortical Structures of Wind Turbine Blades

    Zhenyu Zhang, Li Chen, Tongguang Wang
    2018-05-05
    41792 2990 Pages:556-572
  • Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

    Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
    2012-04-01
    41799 4518 Pages:439-453
  • 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
  • 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 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
  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    13959 1026 Pages:207-223
  • Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements

    Gang Chen, Minfu Feng
    2018-09-17
    45747 5360 Pages:77-99
  • An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

    Biao Peng, Chunhua Zhou, Junqiang Ai
    2019-01-11
    44173 3108 Pages:406-427
  • An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory

    Ting Wang, Jie Zhou, Guanghui Hu
    2023-02-24
    38988 3734 Pages:719-736 Open-access
  • A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

    Zhongguo Zhou, Dong Liang
    2018-05-05
    42135 3025 Pages:795-817
  • Tailored Finite Point Method for Numerical Solutions of Singular Perturbed Eigenvalue Problems

    Houde Han, Yin-Tzer Shih, Chih-Ching Tsai
    2014-06-01
    51267 4314 Pages:376-402
  • A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

    Kosuke Abe, Nobuyuki Higashimori, Masayoshi Kubo, Hiroshi Fujiwara, Yuusuke Iso
    2014-06-01
    43914 4242 Pages:693-698
  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    8366 513 Pages:1111-1132
  • Fitted Finite Volume Method for Pricing American Options under Regime-Switching Jump-Diffusion Models Based on Penalty Method

    Xiaoting Gan, Jun-Feng Yin, Rui Li
    2020-04-10
    44981 3340 Pages:748-773
  • An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points

    Yuan Chen, Songming Hou, Xu Zhang
    2019-06-24
    47276 3257 Pages:1005-1021
  • A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

    Eric Ngondiep
    2025-03-14
    11029 774 Pages:956-988
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