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Advances in Applied Mathematics and Mechanics
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  • A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

    Jing Guo, Da Xu
    2020-07-24
    49967 3264 Pages:1261-1279
  • Unconditional Long Time $\text{H}^1$-Stability of a Velocity-Vorticity-Temperature Scheme for the $2\text{D}$-Boussinesq System

    Mine Akbas
    2020-07-24
    48430 3139 Pages:1166-1195
  • Implicit DG Method for Time Domain Maxwell's Equations Involving Metamaterials

    Jiangxing Wang, Ziqing Xie, Chuanmiao Chen
    2021-07-01
    42843 4153 Pages:796-817
  • Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

    Leilei Wei, Yinnian He, Xindong Zhang
    2018-05-05
    41538 3117 Pages:510-527
  • Modifying and Reducing Numerical Dissipation in a Two-Dimensional Central-Upwind Scheme

    Chi-Jer Yu, Chii-Tung Liu
    2012-04-01
    40575 4241 Pages:340-353
  • Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

    Na Zhang, Weihua Deng, Yujiang Wu
    2012-04-01
    42409 4603 Pages:496-518
  • Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation

    Hao Yuan, Xiaoping Xie
    2022-01-24
    41880 3326 Pages:344-364
  • Interaction of Radiation and Turbulent Natural Convection: A Pseudo-Direct Numerical Study

    Alexander Nee, Ali J. Chamkha
    2022-08-08
    264950 3703 Pages:1567-1586
  • Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping

    Minghao Li, Zhenzhen Li, Dongyang Shi
    2021-11-18
    47685 4241 Pages:248-274
  • A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations

    Shuang Geng, Tongmao Li, Qiongwei Ye, Xiaofeng Yang
    2021-11-18
    49505 4107 Pages:101-124
  • New Energy Analysis of Yee Scheme for Metamaterial Maxwell's Equations on Non-Uniform Rectangular Meshes

    Xixian Bai, Hongxing Rui
    2021-11-17
    50088 4034 Pages:1355-1383
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    118609 5935 Pages:1318-1354
  • Conservative and Finite Volume Methods for the Convection-Dominated Pricing Problem

    Germán I. Ramírez-Espinoza, Matthias Ehrhardt
    2021-07-01
    44429 4739 Pages:759-790
  • Fully HOC Scheme for Mixed Convection Flow in a Lid-Driven Cavity Filled with a Nanofluid

    Dingfang Li, Xiaofeng Wang, Hui Feng
    2018-08-10
    43985 4854 Pages:55-77
  • A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme

    Guanghui Hu, Ruo Li, Xucheng Meng
    2024-01-04
    27984 2638 Pages:279-304
  • A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

    Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang
    2023-12-21
    25738 2422 Pages:146-163
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • The Asymptotic Analysis for the Singularly Perturbed Subdiffusion Equations on Bounded Domain

    Wang Kong, Zhongyi Huang
    2025-10-29
    4579 195 Pages:369-410
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • 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
  • A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

    Zhenming Wang, Jun Zhu, Ning Zhao
    2019-06-24
    44516 3089 Pages:911-941
  • Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains

    Shuo Zhang
    2020-06-01
    49265 3249 Pages:1008-1034
  • 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
  • High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

    Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang
    2020-01-17
    49137 3346 Pages:436-479
  • 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
  • A New Error Analysis of Nonconforming $EQ^{rot}_1$ FEM for Nonlinear BBM Equation

    Yanhua Shi, Yanmin Zhao, Fenling Wang, Dongyang Shi
    2018-09-17
    44633 3173 Pages:1227-1246
  • 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
109 - 135 of 299 items
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