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Advances in Applied Mathematics and Mechanics
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  • Numerical Approximation of Hopf Bifurcation for Tumor-Immune System Competition Model with Two Delays

    Jing-Jun Zhao, Jing-Yu Xiao, Yang Xu
    2013-05-01
    41136 4165 Pages:146-162
  • Buckling of 2D-FG Cylindrical Shells under Combined External Pressure and Axial Compression

    R. Mohammadzadeh, M. M. Najafizadeh, M. Nejati
    2013-05-01
    41528 4710 Pages:391-406
  • Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

    Wangbo Luo, Yanxiang Zhao
    2024-12-02
    17311 1077 Pages:69-103
  • Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

    Alexey Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin, Ye Zhang
    2023-12-21
    30534 2736 Pages:237-252
  • 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
  • ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

    Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang
    2025-09-29
    5014 252 Pages:1841-1866
  • Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

    Yanhua Cao, Song Luo
    2025-09-29
    5028 246 Pages:1789-1812
  • An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations

    Xi Zhang, Minfu Feng
    2025-09-29
    5020 273 Pages:1625-1653
  • First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

    Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang
    2025-10-29
    4466 106 Pages:666-699
  • High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

    Bo Li, Weidong Zhao
    2025-10-14
    4108 288 Pages:322-347
  • Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

    Huimin Ma, Pengzhan Huang
    2025-10-14
    4582 264 Pages:109-113
  • Inexact Iterative WYD Method for Eigenvalue Problems

    Fangyi Zheng, Jianyang Luo, Shuli Sun
    2025-10-14
    2153 90 Pages:93-108
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

    Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li
    2025-11-28
    93 3
  • The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

    Zhiyong Xing, Liping Wen
    2019-06-24
    44375 3171 Pages:942-956
  • A Modified Weak Galerkin Method for Stokes Equations

    Li Zhang, Minfu Feng, Jian Zhang
    2019-06-24
    43704 3188 Pages:890-910
  • An Efficient Numerical Method for the Valuation of American Better-of Options Based on the Front-Fixing Transform and the Far Field Truncation

    Xiaowei Pang, Haiming Song, Xiaoshen Wang, Kai Zhang
    2020-06-01
    50659 3412 Pages:902-919
  • A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2020-06-01
    48025 3484 Pages:879-901
  • 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
  • Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem

    Yunbo Yang, Yaolin Jiang, Qiongxiang Kong
    2020-01-17
    48553 3358 Pages:407-435
  • A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity

    Bei Zhang, Jikun Zhao
    2020-03-06
    47150 4826 Pages:278-300
  • Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

    Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao
    2021-07-01
    56294 4549 Pages:1418-1439
  • 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
  • A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

    Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song
    2018-09-17
    47079 6152 Pages:114-137
  • A Boundary-Layer Receptivity Mechanism Excited by the Interaction Between Free-Stream Turbulence and the Three-Dimensional Localized Wall Roughness

    Luyu Shen, Changgen Lu
    2018-09-17
    43597 2995 Pages:735-751
  • On the Selection of a Good Shape Parameter of the Localized Method of Approximated Particular Solutions

    Hui Zheng, Guangming Yao, Lei-Hsin Kuo, Xinxiang Li
    2018-09-17
    49279 3589 Pages:896-911
  • Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

    Limei Li, Alexander Lapin, Shuhua Zhang
    2019-01-11
    44992 3044 Pages:535-558
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