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Advances in Applied Mathematics and Mechanics
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  • Multiscale Buckling and Post-Buckling Analysis: A Comprehensive Review

    Pengcheng Jiao, Hassene Hasni, Nizar Lajnef
    2018-09-17
    45536 3078 Pages:485-516
  • A Lattice Boltzmann Modeling Fluid-Structure Interaction Problems and Its Applications in Natural Convections in a Square Cavity with Particles Suspended Inside

    Mufeng Chen, Xiaodong Niu, H. Yamaguchi, Chang Shu
    2018-09-17
    45606 3207 Pages:275-300
  • Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations

    Haidong Yu, Xiaobo Quan, Haipeng Wei, Matevž Dular, Song Fu
    2024-02-29
    28841 2721 Pages:771-804
  • Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes

    Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet, Jean-Paul Dudon
    2011-03-01
    40385 4038 Pages:519-561
  • Optimization and Identification of the Shape in Elastoplastic Boundary Problems Using Parametric Integral Equation System (PIES)

    Agnieszka Bo\u0142tu\u0107
    2020-06-01
    49349 3316 Pages:1035-1056
  • The Static Solution for the Layered Piezoelectric Bounded Domain with Side Face Load by the Modified SBFEM

    Shan Lu, Jun Liu, Gao Lin, Zihua Zhang, Pengchong Zhang
    2018-09-17
    44985 5135 Pages:209-241
  • Modeling Oil-Water Two-Phase Flow Behavior of a Fractured Vertical Well with a Finite-Conductivity Fracture in Triple Media Carbonate Reservoir

    Yong Wang, Chen Zhang, Rui Huang, Haitao Cao, Xin Ma
    2018-09-17
    44545 3072 Pages:581-610
  • Modeling the Nonlinear Oil-Water Two-Phase Flow Behavior for a Multiple-Fractured Horizontal Well in Triple Media Carbonate Reservoir

    Yong Wang, Mingjun Li, Xin Ma, Wubin Gao, Guoqing Xue, Jun Zhou
    2018-09-17
    46387 3404 Pages:998-1024
  • A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery

    Di Zhou, Zhiliang Lu, Tongqing Guo
    2019-01-04
    47327 4389 Pages:168-196
  • A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

    Lijie Ji, Yanlai Chen, Zhenli Xu
    2019-06-24
    46360 3206 Pages:1200-1218
  • Front Tracking and Parameter Identification for a Conservation Law with a Space-Dependent Coefficient Modeling Granular Segregation

    Raimund Bürger, Yessennia Martínez, Luis M. Villada
    2025-03-14
    11302 814 Pages:989-1013
  • Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics

    Dan Li, Xinming Lu, Hongjuan Wang, Guibin Liu, Xin Liu
    2025-05-12
    8360 472 Pages:1239-1258
  • Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel

    Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt
    2025-07-19
    7426 463 Pages:1481-1508
  • High-Order Finite Volume Methods for Aerosol Dynamic Equations

    Ming Cui, Yanxin Su, Dong Liang
    2018-05-05
    41061 3046 Pages:213-235
  • 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
  • Modeling and Computation of CO2 Allowance Derivatives Under Jump-Diffusion Processes

    Shuhua Zhang, Jing Wang
    2018-05-05
    42501 3023 Pages:827-846
  • An Inverse Problem with the Final Overdetermination for the Mean Field Games System

    Michael V. Klibanov, Jingzhi Li, Hongyu Liu
    2025-10-14
    4442 275 Pages:189-221
  • Viscoelastic Models for Passive Arterial Wall Dynamics

    D. Valdez-Jasso, H. T. Banks, M. A. Haider, D. Bia, Y. Zocalo, R. L. Armentano, M. S. Olufsen
    2018-08-10
    40900 3885 Pages:151-165
  • A Discrete Collocation Technique using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    2025-11-22
    169 2
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