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Advances in Applied Mathematics and Mechanics
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  • 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
  • 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 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 Hybrid Method for Dynamic Mesh Generation Based on Radial Basis Functions and Delaunay Graph Mapping

    Li Ding, Tongqing Guo, Zhiliang Lu
    2018-05-05
    41950 3099 Pages:338-356
  • Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

    Xiaojing Xu, Xiaoping Xie
    2018-05-05
    41886 3036 Pages:324-348
  • On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model

    Qilong Guo, Pengxin Liu, Chen Li, Dong Sun, Xianxu Yuan
    2023-12-21
    26369 2304 Pages:122-145
  • Accurate 8-Node Hybrid Hexahedral Elements with Energy-Compatible Stress Modes

    Shiquan Zhang, Xiaoping Xie
    2018-11-01
    40024 3615 Pages:333-354
  • Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

    Yanhong Bai, Yongke Wu, Xiaoping Xie
    2018-05-05
    40770 3084 Pages:399-425
  • A Hybrid Lattice Boltzmann Flux Solver for Simulation of Viscous Compressible Flows

    L. M. Yang, C. Shu, J. Wu
    2021-07-01
    44689 4231 Pages:887-910
  • 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
  • Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method

    Nur Inshirah Naqiah Ismail, Zanariah Abdul Majid, Norazak Senu
    2022-06-13
    42111 3457 Pages:1138-1160
  • Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

    Jinhua Lu
    2025-09-29
    5015 251 Pages:1715-1741
  • Interaction of Radiation and Turbulent Natural Convection: A Pseudo-Direct Numerical Study

    Alexander Nee, Ali J. Chamkha
    2022-08-08
    264950 3703 Pages:1567-1586
  • WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

    Qin Li, Sun Dong, Fengyuan Xu
    2021-11-17
    49385 4068 Pages:1441-1484
  • Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

    Ali Ruhşen Çete, Oğuz Kaan Onay
    2022-02-25
    47957 3211 Pages:539-576
  • 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
  • Fluid-Structure Interaction Simulation of Heart Valve Flows by a Hybrid Immersed-Boundary/Body-Fitted-Grid Method

    Jingyang Wang, Chunhua Zhou, Zhendong Xu
    2025-07-19
    7507 460 Pages:1456-1480
  • Solving PDEs with a Hybrid Radial Basis Function: Power-Generalized Multiquadric Kernel

    Cem Berk Senel, Jeroen van Beeck, Atakan Altinkaynak
    2022-06-13
    43767 3531 Pages:1161-1180
  • A Hybrid Dynamic Mesh Generation Method for Multi-Block Structured Grid

    Hao Chen, Zhiliang Lu, Tongqing Guo
    2018-05-05
    42564 3034 Pages:887-903
  • A Moving Mesh Method for Kinetic/Hydrodynamic Coupling

    Zhicheng Hu, Heyu Wang
    2021-07-01
    43212 4199 Pages:685-702
  • Extending Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law to Large Eddy Simulation on Curvilinear Grids

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2018-05-05
    41062 3111 Pages:407-429
  • 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
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I: Basic Formulations and Performance Evaluation

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44110 3110 Pages:255-284
  • On Diagonal Form Fast Multipole Method for an Oscillatory Boundary Integral Equation

    Qinghua Wu
    2019-06-24
    44462 3116 Pages:1248-1262
  • Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

    Meiliang Mao, Yi Jiang, Xiaogang Deng, Huayong Liu
    2018-05-05
    41457 3093 Pages:236-256
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