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Advances in Applied Mathematics and Mechanics
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  • A Stabilized Finite Element Method for Non-Stationary Conduction-Convection Problems

    Ke Zhao, Yinnian He, Tong Zhang
    2018-08-10
    41437 4284 Pages:239-258
  • Transient Response of High Dimensional Nonlinear Dynamic System for a Rotating Cantilever Twisted Plate

    Yuxin Hao, Xiaojun Gu, Wei Zhang, Jie Chen
    2021-07-01
    47157 4151 Pages:1542-1564
  • The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

    Jinting Yang, Hongxia Liang, Tong Zhang
    2021-07-01
    47534 4104 Pages:1481-1519
  • High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

    Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang
    2020-04-10
    46510 3286 Pages:664-693
  • Numerical Investigation of "Frog-Leap" Mechanisms of Three Particles Aligned Moving in an Inclined Channel Flow

    Xiao-Dong Niu, Ping Hu, Xing-Wei Zhang, Hui Meng, Hiroshi Yamaguchi, Yuhiro Iwamoto
    2018-03-30
    41526 3119 Pages:207-228
  • A Novel Low-Dimensional Method for Analytically Solving Partial Differential Equations

    Jie Sha, Lixiang Zhang, Chuijie Wu
    2021-07-01
    42797 4151 Pages:754-779
  • Piecewise Constant Level Set Algorithm for an Inverse Elliptic Problem in Nonlinear Electromagnetism

    Xiangyin Kong, Zhengfang Zhang, Zhengda Huang
    2018-05-05
    41944 3103 Pages:387-406
  • 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
  • Local RBFs Based Collocation Methods for Unsteady Navier-Stokes Equations

    Xueying Zhang, Xin An, C. S. Chen
    2018-05-05
    41256 3091 Pages:430-440
  • The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform

    Q. Li, J. B. Zhang, D. Y. Chen
    2018-05-05
    42105 3018 Pages:663-674
  • Simulations of Two-Step Maruyama Methods for Nonlinear Stochastic Delay Differential Equations

    Wanrong Cao, Zhongqiang Zhang
    2021-07-01
    42683 4188 Pages:821-832
  • Application of Improved (G'/G)–Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolution Equations

    Xiaohua Liu, Weiguo Zhang, Zhengming Li
    2012-04-01
    42681 4694 Pages:122-130
  • 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
  • Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays

    Kai Zhang, Jie Li
    2012-04-01
    41071 3999 Pages:575-602
  • Shape Analysis and Solution to a Class of Nonlinear Wave Equation with Cubic Term

    Xiang Li, Weiguo Zhang, Yan Zhao
    2012-04-01
    41348 4248 Pages:559-574
  • A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints

    Jinling Zhang, Yanping Chen, Yunqing Huang, Fenglin Huang
    2022-01-24
    40953 3326 Pages:469-493
  • A Discontinuous Galerkin Finite Element Method Without Interior Penalty Terms

    Fuzheng Gao, Xiu Ye, Shangyou Zhang
    2022-01-24
    42020 3323 Pages:299-314
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    270062 3707 Pages:1477-1508
  • Large Eddy Simulation of the Vortex-Induced Vibration of a Circular Cylinder by Using the Local Domain-Free Discretization Method

    Tianmei Pu, Yang Zhang, Chunhua Zhou
    2022-08-08
    270436 3767 Pages:1456-1476
  • Numerical Analysis of Two-Grid Block-Centered Finite Difference Method for Two-Phase Flow in Porous Medium

    Jing Zhang, Hongxing Rui
    2022-08-08
    273823 3791 Pages:1433-1455
  • Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation

    Chuanjun Chen, Yuzhi Lou, Tong Zhang
    2022-08-08
    284711 3905 Pages:1357-1380
  • Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

    Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang
    2022-08-08
    292660 4130 Pages:1302-1332
  • Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

    Hongliang Liu, Yameng Zhang, Haodong Li, Shoufu Li
    2022-08-08
    297911 4316 Pages:1276-1301
  • A Stabilizer-Free Weak Galerkin Finite Element Method for the Stokes Equations

    Yue Feng, Yujie Liu, Ruishu Wang, Shangyou Zhang
    2021-11-18
    50388 4228 Pages:181-201
  • A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

    Xi Zhang & Minfu Feng
    2022-04-11
    45286 3596 Pages:936-959
  • Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

    Xiaofan Zhang, Shoufu Tian & Jinjie Yang
    2022-04-11
    45043 3573 Pages:893-913
  • Upwind Strategy for Localized Method of Approximate Particular Solutions with Applications to Convection Dominated Diffusion Problems

    Xueying Zhang, Luyu Ran
    2020-12-18
    43454 3240 Pages:455-466
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