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Advances in Applied Mathematics and Mechanics
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  • A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

    Shichao Yi, Hongguang Sun
    2019-01-04
    46429 4416 Pages:197-215
  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    43675 4554 Pages:166-186
  • 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
  • Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

    Yundan Zhao, Rong An
    2025-05-12
    8540 499 Pages:1063-1087
  • A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

    Xianbing Luo, Yanping Chen, Yunqing Huang
    2013-05-01
    42665 4159 Pages:688-704
  • A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    13925 1012 Pages:350-372
  • Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

    Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot
    2024-12-02
    14173 1058 Pages:315-349
  • A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation

    Weijun Zhan, Qian Guo
    2024-12-02
    14054 1105 Pages:295-314
  • Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

    Yuan Li, Xuewei Cui
    2024-12-02
    13939 1092 Pages:263-294
  • The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    13935 1022 Pages:240-262
  • The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation

    Ting Zhang, Shuqi Cui, Ning Hong, Baochang Shi
    2024-12-02
    14127 1029 Pages:224-239
  • An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces

    Kai Jiang, Xin Wang, Jianggang Liu, Huayi Wei
    2024-12-02
    14316 1048 Pages:123-147
  • Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles

    Raimund Bürger, Pep Mulet, Lihki Rubio
    2018-09-17
    44246 3076 Pages:445-467
  • A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

    Luoping Chen, Yanping Chen
    2018-09-17
    44385 3116 Pages:409-423
  • Numerical Investigation of Multiple Shock/Turbulent Flow Interaction in a Supersonic Channel

    Peizhao Sun, Jiming Yang, Xiyun Lu
    2018-09-17
    45311 4646 Pages:390-408 Open-access
  • 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
  • Efficient Preconditioned Iterative Linear Solvers for 3-D Magnetostatic Problems Using Edge Elements

    Xian-Ming Gu, Yanpu Zhao, Tingzhu Huang, Ran Zhao
    2020-01-17
    48781 3309 Pages:301-318
  • 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
  • Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations

    Congying Li, Liang Tang, Jie Zhou
    2024-02-29
    27479 2722 Pages:667-691
  • Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

    Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang
    2025-10-14
    4592 296 Pages:11-36
  • The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

    Dan Qin, Kai Fu, Dong Liang
    2025-03-14
    11206 814 Pages:732-757
  • High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

    Yue Liu, Zhen Gao, Peng Li, Yaguang Gu
    2024-12-31
    12913 1204 Pages:554-579
  • SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions

    Changhui Yao, Zhaoyue Du, Lei Yang
    2022-10-24
    44586 4058 Pages:139-158
  • Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

    Shan Zhang, Zihao Yang, Xiaofei Guan
    2022-10-24
    43819 3859 Pages:69-93
  • 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
  • Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

    Yuxin Liang, Dingwen Deng
    2025-10-29
    4519 126 Pages:450-481
  • Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen, Yunqing Huang, Fenglin Huang
    2020-01-17
    48497 3586 Pages:480-502
298 - 324 of 500 items
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