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Advances in Applied Mathematics and Mechanics
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  • Fully Finite Element Adaptive AMG Method for Time-Space Caputo-Riesz Fractional Diffusion Equations

    X. Q. Yue, W. P. Bu, S. Shu, M. H. Liu, S. Wang
    2018-09-17
    45391 3175 Pages:1103-1125
  • Non-Steady Creep Analysis of FGM Rotating Disc Using GDQ Method

    Hodais Zharfi, Hamid Ekhteraei-Toussi
    2019-01-11
    43890 3209 Pages:452-466
  • Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

    Lingxue Zhu, Zhenhua Zhou
    2019-01-11
    43335 3161 Pages:428-451
  • Partitioned Time Stepping Method for Fully Evolutionary Navier-Stokes/Darcy Flow with BJS Interface Conditions

    Hongen Jia, Yusha Zhang, Jiaping Yu
    2019-01-11
    44543 3175 Pages:381-405
  • Influence of Magnetic Force on the Flow Stability in a Rectangular Duct

    Rahman Anisur, Wenqian Xu, Kunhang Li, Hua-Shu Dou, Boo Cheong Khoo, Jie Mao
    2019-01-04
    47531 4746 Pages:24-37
  • On Diagonal Form Fast Multipole Method for an Oscillatory Boundary Integral Equation

    Qinghua Wu
    2019-06-24
    44462 3116 Pages:1248-1262
  • 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 Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

    Yufang Gao, Shengxiang Chang, Changna Lu
    2024-11-01
    15116 1370 Pages:1451-1473
  • Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

    Eric Ngondiep, Ali H. Tedjani
    2024-11-01
    15403 1374 Pages:1381-1409
  • Compressive Strength Prediction of High-Performance Hydraulic Concrete Using a Novel Neural Network Based on the Memristor

    Jun Lu, Lin Qiu, Yingjie Liang, Ji Lin
    2024-05-14
    25724 2688 Pages:878-904
  • 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
  • A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

    Eric Ngondiep
    2025-03-14
    11029 774 Pages:956-988
  • Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

    Wansheng Wang, Chengyu Jin, Yi Huang
    2025-03-14
    11037 784 Pages:840-866
  • 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
  • A Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

    Yonghui Guo, Ruo Li, Chengbao Yao
    2018-05-05
    42489 4559 Pages:187-212 Open-access
  • 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
  • Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model

    Zhengzheng Yan, Rongliang Chen, Chao Wang, Lei Xu, Jingzhi Li
    2023-02-24
    38246 3224 Pages:769-785
  • 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
  • Modelling and Analysis of a Class of Metal-Forming Problems

    T. A. Angelov
    2021-07-01
    39426 3956 Pages:722-745
  • Ma's Variation of Parameters Method for Fisher's Equations

    Syed Tauseef Mohyud-Din, Ahmet Yıldırım
    2018-11-01
    40333 3720 Pages:379-388
  • Analysis and Invariant Properties of a Lattice Boltzmann Method

    Michael Junk, Zhaoxia Yang
    2021-01-25
    40555 4052 Pages:640-669
  • Natural Convection Cooling of an Array of Flush Mounted Discrete Heaters Inside a 3D Cavity

    V. P. M. Senthil Nayaki, S. Saravanan, X. D. Niu, P. Kandaswamy
    2018-08-04
    41683 2966 Pages:698-721
  • 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
  • The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics

    Xiaojing Dong, Yinnian He
    2018-05-05
    42144 2997 Pages:775-794
  • Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

    Qi Hong, Yushun Wang, Qikui Du
    2018-05-05
    45435 3049 Pages:1206-1224
  • A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

    Qiujin Peng
    2018-05-05
    44947 3079 Pages:1162-1188
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