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Advances in Applied Mathematics and Mechanics
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  • The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

    Kai Fu, Zhaohui Liu, Jiansong Zhang
    2025-11-22
    175 5
  • Numerical Simulation of Phase-Field Round and Square Crystal Models on Curved Dynamic Substrates via the Evolving Surface Finite Element Method

    Xufeng Xiao, Lulu Liu, Xiao Yu, Xinlong Feng
    2025-11-19
    199 4
  • 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 Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

    Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun
    2020-01-17
    77695 3570 Pages:503-526
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    48557 4939 Pages:251-277
  • A Jacobi Collocation Method for the Fractional Ginzburg-Landau Differential Equation

    Yin Yang, Jianyong Tao, Shangyou Zhang, Petr V. Sivtsev
    2020-03-06
    49435 4940 Pages:57-86
  • High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

    Junming Duan, Huazhong Tang
    2020-03-06
    141982 5685 Pages:1-29
  • Study of Secondary Instability of a Streaky Boundary Layer Under Spanwise-Localized Free-Stream Vortical Disturbances

    Yongming Zhang, Xiangzhen Chen, Jisheng Luo
    2019-04-16
    47521 3163 Pages:686-699
  • 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
  • Quadrotor Convergence Trajectory Optimization Model Based on Minimum Energy Consumption

    Biao Zhang, Peng Xiao, Hongliang Liu, Mingyue Ma, Qian Wang, Zhi Mao
    2018-09-17
    45497 3143 Pages:673-689
  • Numerical Simulation of Tumor Growth Based on the Free Boundary Element Discretization

    Yarong Zhang, Yinnian He, Hongbin Chen
    2018-09-17
    44146 3084 Pages:529-553
  • 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
  • Semi-Discrete Predictor-Multicorrector FEM Algorithms for the 2D/3D Unsteady Incompressible Micropolar Fluid Equations

    Xiaowei Bi, Demin Liu
    2024-11-01
    15117 1341 Pages:1519-1548
  • A Surrogate Reduced Order Model of the Unsteady Advection Dominant Problems Based on Combination of Deep Autoencoders-LSTM and POD

    Mahdi Kherad, Mohammad Kazem Moayyedi, Faranak Fotouhi
    2024-11-01
    15716 1385 Pages:1410-1450
  • 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
  • Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes

    Wensheng Zhang, Atish Kumar Joardar, Fei Wu
    2024-07-22
    26221 2349 Pages:1121-1151
  • 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
  • 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
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

    Shu-Jie Li, Lili Ju
    2025-03-14
    11078 722 Pages:758-777
  • Mass-, and Energy-Preserving Sine Pseudo-Spectral Schemes with High-Accuracy for the Coupled Nonlinear Schrödinger Equation

    Yayun Fu, Gengen Zhang, Xu Qian, Songhe Song
    2025-07-19
    7446 466 Pages:1430-1455
  • 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
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction

    Shujie Li, Lili Ju
    2023-02-24
    37719 3196 Pages:814-830
  • 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 Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

    Jun Yang, Nianyu Yi
    2023-02-24
    39942 3426 Pages:583-601
  • Numerical Simulations of the Richtmyer–Meshkov Instability of Solid-Vacuum Interface

    Xiangyi Liu, Zhiye Zhao, Nansheng Liu, Xiyun Lu
    2023-06-21
    36490 2985 Pages:1166-1190
  • Long Wavelength Approximation to Peristaltic Motion of Micropolar Fluid with Wall Effects

    Gurunath. C. Sankad, G. Radhakrishnamacharya, J. V. Ramanamurthy
    2010-02-01
    39105 3729 Pages:222-237
  • Unsteady Hydromagnetic Couette Flow within Porous Plates in a Rotating System

    G. S. Seth, Md. S. Ansari, R. Nandkeolyar
    2018-11-01
    39852 3700 Pages:286-302
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