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Advances in Applied Mathematics and Mechanics
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  • Analysis of Finite Difference Approximations of an Optimal Control Problem in Economics

    Alexander Lapin, Shuhua Zhang, Sergey Lapin, Na Yan
    2021-07-01
    48803 4424 Pages:1358-1375
  • A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients

    Liqun Wang, Songming Hou, Liwei Shi, Ping Zhang
    2019-01-04
    47772 4718 Pages:216-240
  • Towards an Accurate and Robust Roe-Type Scheme for All Mach Number Flows

    Wenjia Xie, Ye Zhang, Qing Chang, Hua Li
    2019-01-04
    46385 5295 Pages:132-167
  • An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows

    Z. X. Meng, S. Z. Li, K. Peng, W. H. Zhang
    2019-01-04
    47040 5066 Pages:72-90
  • A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

    Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song
    2019-01-04
    47416 5050 Pages:53-71
  • Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach

    Feng Liang, Xiaodong Yang, Wei Zhang, Yingjing Qian, Roderick V. N. Melnik
    2019-01-04
    46909 4809 Pages:38-52
  • An Immersed Finite Element Method for Elliptic Interface Problems with Multi-Domain and Triple Junction Points

    Yuan Chen, Songming Hou, Xu Zhang
    2019-06-24
    47276 3257 Pages:1005-1021
  • A Primal-Dual Discontinuous Galerkin Finite Element Method for Ill-Posed Elliptic Cauchy Problems

    Yanli Chen, Tie Zhang, Ying Sheng
    2024-05-14
    24827 2414 Pages:860-877
  • Cell-Average Based Neural Network Method for Hunter-Saxton Equations

    Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He
    2024-05-14
    26270 2408 Pages:833-859
  • An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows

    Xuguang Yang, Yuze Zhang
    2024-07-22
    25088 2342 Pages:1277-1296
  • Impact Dynamics of Binary Off-Center Unequal-Sized Droplets Colliding on a Superhydrophobic Surface

    Meixuan Li, Jie Wu, Tongwei Zhang
    2024-07-22
    26326 2322 Pages:1223-1251
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • 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
  • Stability Analysis of Axially Functionally Graded Beams Using the Differential Quadrature Method

    Shitang Cui, Yongliang Zhang
    2024-07-22
    31289 2423 Pages:1039-1055
  • A Genuinely 2D Well-Balanced Method for Elastic-Plastic Flow in Cylindrically Symmetric Coordinates

    Zhiqiang Zeng, Weixiong Yuan, Chengliang Feng, Tiegang Liu, Shengtao Zhang
    2024-12-31
    12884 1163 Pages:599-632
  • Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition

    Xiao Li, Zhijun Shen, Hongping Zhang, Gang Xu
    2024-12-31
    12798 1168 Pages:580-598
  • An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

    Fuzheng Gao, Shangyou Zhang
    2024-12-31
    12876 1125 Pages:538-553
  • Two Efficient Block Preconditioners for the Mass-Conserved Ohta-Kawasaki Equation

    Juan Zhang, Shifeng Li, Kai Jiang
    2024-12-31
    13158 1143 Pages:454-488
  • Troubled-Cell Indicators Using K-Means Clustering for RKDG Methods on Triangular Meshes and $h$-Adaptive Rectangular Meshes

    Haiyun Wang, Zhen Gao, Haijin Wang, Qiang Zhang, Hongqiang Zhu
    2025-03-14
    11037 665 Pages:1014-1036
  • A Nonconforming P2 and Discontinuous P1 Mixed Finite Element on Tetrahedral Grids

    Shangyou Zhang
    2025-05-12
    8253 510 Pages:1259-1274
  • The Random Feature Method for Elliptic Eigenvalue Problems

    Kexiang Xiong, Zhen Zhang, Jingrun Chen, Yixin Luo
    2025-05-12
    8350 497 Pages:1133-1170
  • Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations

    Wenhuan Zhang, Shibo Kuang, Zhenhua Chai, Baochang Shi
    2025-05-12
    8819 543 Pages:1037-1062
  • 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
  • High-Resolution Upwind Strategy for the MLS Method with Applications to Convection Dominated Diffusion Problems

    Xueying Zhang, Nuoya Cui, Yangjiong Wu
    2025-07-19
    7507 501 Pages:1353-1369
  • On a Large Time-Stepping Method for the Swift-Hohenberg Equation

    Zhengru Zhang, Yuanzi Ma
    2021-07-01
    44078 4146 Pages:992-1003
  • Toward Cost-Effective Reservoir Simulation Solvers on GPUs

    Zheng Li, Shuhong Wu, Jinchao Xu, Chensong Zhang
    2021-07-01
    43570 4015 Pages:971-991
  • 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
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