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Advances in Applied Mathematics and Mechanics
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  • Simulation of Viscous Flows Around a Moving Airfoil by Field Velocity Method with Viscous Flux Correction

    Ning Gu, Zhiliang Lu, Tongqing Guo
    2012-04-01
    41516 4395 Pages:294-310
  • A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations

    Xiaogang Li, Guodong Li, Yongbin Ge
    2020-10-20
    50981 4699 Pages:58-82
  • 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
  • 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 New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration

    Qijia Zhai, Qingguo Hong, Xiaoping Xie
    2024-11-01
    15758 1386 Pages:1328-1357
  • A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows

    Yu Sun, Shu Chang, Liming Yang, C. J. Teo
    2018-05-05
    43082 3014 Pages:703-721
  • Fluid-Structure Interaction in Microchannel Using Lattice Boltzmann Method and Size-Dependent Beam Element

    V. Esfahanian, E. Dehdashti, A. M. Dehrouyeh-Semnani
    2014-06-01
    42421 4466 Pages:345-358
  • 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
  • A Generalization of a Troubled-Cell Indicator to $h$-Adaptive Meshes for Discontinuous Galerkin Methods

    Hongqiang Zhu, Wenxiu Han, Haijin Wang
    2020-07-24
    49335 3287 Pages:1224-1246
  • 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
  • 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
  • A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

    Xi Zhang & Minfu Feng
    2022-04-11
    45286 3596 Pages:936-959
  • Buckling of 2D-FG Cylindrical Shells under Combined External Pressure and Axial Compression

    R. Mohammadzadeh, M. M. Najafizadeh, M. Nejati
    2013-05-01
    41528 4710 Pages:391-406
  • A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids

    Wanglong Qin, Junwei Cai, Hongqiang Lu, Peter K. Jimack, M. A. Walkley
    2018-09-17
    46432 4665 Pages:261-274 Open-access
  • Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

    Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang
    2025-09-29
    5129 302 Pages:1591-1624
  • Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

    Huimin Ma, Pengzhan Huang
    2025-10-14
    4582 264 Pages:109-113
  • A Fourth Order WENO Scheme for Hyperbolic Conservation Laws

    Xiaohan Cheng, Jianhu Feng, Supei Zheng
    2020-06-01
    52399 3492 Pages:992-1007
  • 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
  • Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods

    Lingfa Kong, Yidao Dong, Wei Liu
    2024-07-22
    31446 2389 Pages:1056-1103
  • Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

    Wansheng Wang, Chengyu Jin, Yi Huang
    2025-03-14
    11037 784 Pages:840-866
  • 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
  • A Straightforward $hp$-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods

    Hongqiang Lu, Qiang Sun
    2014-06-01
    44541 4935 Pages:135-144
  • Stability Analysis of a Fully Coupled Implicit Scheme for Inviscid Chemical Non-Equilibrium Flows

    Yu Wang, Jinsheng Cai, Kun Qu
    2021-07-01
    43701 3928 Pages:953-970
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