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Advances in Applied Mathematics and Mechanics
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  • Continuous and Discrete Adjoint Approach Based on Lattice Boltzmann Method in Aerodynamic Optimization Part I: Mathematical Derivation of Adjoint Lattice Boltzmann Equations

    Mohamad Hamed Hekmat, Masoud Mirzaei
    2014-06-01
    42644 4293 Pages:570-589
  • The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients

    C. M. Fan, C.S. Chen, J. Monroe
    2018-08-10
    42848 4303 Pages:215-230
  • An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow

    Hui Sun, Lulu Tian, Hui Guo
    2025-03-14
    11176 775 Pages:888-908
  • A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids

    Hong Luo, Luqing Luo, Kun Xu
    2018-08-10
    41573 3914 Pages:301-318
  • Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

    Huajun Zhu, Songhe Song, Yaming Chen
    2021-07-01
    41152 4191 Pages:663-688
  • A CG-Type Method for Inverse Quadratic Eigenvalue Problems in Model Updating of Structural Dynamics

    Jiaofen Li, Xiyan Hu
    2011-03-01
    41821 4644 Pages:65-86
  • The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction

    Tiegang Liu, A. W. Chowdhury, Boo Cheong Khoo
    2011-03-01
    39899 3922 Pages:611-632
  • A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations

    Sufang Zhang, Hongxia Yan, Hongen Jia
    2018-05-05
    40731 3117 Pages:386-398
  • A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu
    2021-07-01
    48037 4043 Pages:1416-1437
  • Non-Convex and Convex Coupling Image Segmentation via TGpV Regularization and Thresholding

    Tingting Wu, Jinbo Shao
    2020-04-10
    47666 3244 Pages:849-878
  • A FEM for Solving Two-Dimensional Nonlinear Elliptic-Parabolic Interface Problems with Nonhomogeneous Jump Conditions

    Liqun Wang, Songming Hou, Liwei Shi
    2018-09-17
    43586 2971 Pages:752-766
  • Vibration Control for Flexible Spacecraft Using Multi-Impulse Robust Input Shaper and Optimal Control Method

    Yanfeng Du, Cong Wang, Yan Zhou, Juncheng Lu
    2020-04-10
    45256 3309 Pages:797-814
  • Fracture Analysis in Orthotropic Thermoelasticity Using Extended Finite Element Method

    Honggang Jia, Yufeng Nie, Junlin Li
    2021-07-01
    42638 4054 Pages:780-795
  • 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
  • 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
  • Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition

    Chao Yue, Haoyong Zhuang, Longbin Zhao
    2025-09-29
    5032 250 Pages:1654-1681
  • Finite Element Method Coupling Penalty Method for Flexural Shell Model

    Xiaoqin Shen, Yongjie Xue, Qian Yang, Shengfeng Zhu
    2022-01-24
    42075 3243 Pages:365-385
  • Numerical Analysis of Crack-Tip Fields Using a Meshless Method in Linear Elastic Materials

    Zahra Sheikhi, Akbar Ghanbari, Mohammad Karkon, Soleyman Ghouhestani
    2022-08-08
    267322 3666 Pages:1509-1534
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    48557 4939 Pages:251-277
  • An Efficient Numerical Method for the Valuation of American Better-of Options Based on the Front-Fixing Transform and the Far Field Truncation

    Xiaowei Pang, Haiming Song, Xiaoshen Wang, Kai Zhang
    2020-06-01
    50659 3412 Pages:902-919
  • 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 Comparison of the LOOCV-MFS and the MS-CTM for 2D Equations

    Fang Hao, Hui Lv, Xiaoyan Liu
    2018-09-17
    45378 5121 Pages:41-61
  • A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions

    B. Harikrishnan, Zhen Chen, Chang Shu
    2020-12-18
    61828 3975 Pages:261-284
  • 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
  • An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

    Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
    2020-01-17
    48329 3301 Pages:336-361
  • Comparative Study of Implicit and Explicit Immersed Boundary-Lattice Boltzmann Methods for Simulation of Fluid-Structure Interactions

    J. Y. Shao, N. Y. Liu
    2018-09-17
    44700 3168 Pages:1173-1190
  • A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

    Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai
    2018-09-17
    45536 3126 Pages:1069-1089
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