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Advances in Applied Mathematics and Mechanics
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  • Solving Delay Differential Equations Through RBF Collocation

    Francisco Bernal, Gail Gutierrez
    2018-08-10
    40939 3956 Pages:257-272
  • Analysis of Two-Grid Methods for Nonlinear Parabolic Equations by Expanded Mixed Finite Element Methods

    Yanping Chen, Peng Luan, Zuliang Lu
    2021-07-01
    41511 4132 Pages:830-844
  • A Spectral Time-Domain Method for Computational Electrodynamics

    James V. Lambers
    2021-07-01
    40617 4083 Pages:781-798
  • A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems

    Zhuojia Fu, Wen Chen
    2018-08-10
    41379 3926 Pages:341-352
  • The Ghost Cell Method and Its Applications for Inviscid Compressible Flow on Adaptive Tree Cartesian Grids

    Jianming Liu, Ning Zhao, Ou Hu
    2018-08-10
    41404 4658 Pages:664-682
  • A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators

    Jiu Ding, Noah H. Rhee
    2018-08-10
    41514 4144 Pages:204-218
  • A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform

    A. Tadeu, C. S. Chen, J. Antόnio, Nuno Simões
    2011-03-01
    40755 4236 Pages:572-585
  • Complex Pattern Formations by Spatial Varying Parameters

    Siqing Li, Leevan Ling
    2021-07-01
    48768 4358 Pages:1327-1352
  • Non-Convex and Convex Coupling Image Segmentation via TGpV Regularization and Thresholding

    Tingting Wu, Jinbo Shao
    2020-04-10
    47666 3244 Pages:849-878
  • 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
  • A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River

    Luyu Shen, Changgen Lu, Weiguo Wu, Shifeng Xue
    2018-03-30
    42108 3086 Pages:180-195
  • 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
  • Numerical Method for the Time Fractional Fokker-Planck Equation

    Xue-Nian Cao, Jiang-Li Fu, Hu Huang
    2021-07-01
    42765 4207 Pages:848-863
  • Moving Finite Element Simulations for Reaction-Diffusion Systems

    Guanghui Hu, Zhonghua Qiao, Tao Tang
    2012-04-01
    42538 4448 Pages:365-381
  • The Multi-Step Differential Transform Method and Its Application to Determine the Solutions of Non-Linear Oscillators

    Vedat Suat Ertürk, Zaid M. Odibat, Shaher Momani
    2012-04-01
    42661 4636 Pages:422-438
  • 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
  • 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
  • Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model

    Edison E. Chukwuemeka, Shawn W. Walker
    2021-11-18
    50160 3959 Pages:1-32
  • A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem

    Mengyue Wu, Wenbao Ai, Jianhua Yuan, Hui Tian
    2022-02-25
    48661 3417 Pages:596-621
  • Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations

    Yibo Wang, Rui Du & Zhenhua Chai
    2022-04-11
    44675 3630 Pages:914-935
  • An Energy Stable SPH Method for Incompressible Fluid Flow

    Xingyu Zhu, Shuyu Sun, Jisheng Kou
    2022-06-13
    43885 3482 Pages:1201-1224
  • Adaptive Relaxation Strategy on Basic Iterative Methods for Solving Linear Systems with Single and Multiple Right-Hand Sides

    Yuan Yuan, Shuli Sun, Pu Chen, Mingwu Yuan
    2020-12-18
    45378 3334 Pages:378-403
  • A Kernel-Independent Treecode for General Rotne-Prager-Yamakawa Tensor

    Lei Wang
    2020-12-18
    45157 3161 Pages:296-310
  • Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities

    Hongliang Liu, Jingwen Song, Huini Liu, Jie Xu, Lijuan Li
    2020-10-20
    54001 4823 Pages:101-118
  • A Galerkin-Characteristic Finite Element Method for Three-Dimensional Convection-Dominated Problems

    Bassou Khouya, Mofdi El-Amrani, Mohammed Seaid
    2020-12-21
    54431 3248 Pages:503-526
  • A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation with Time Dependent Dispersion Coefficients and Source Terms

    Eric Ngondiep
    2021-06-08
    45533 3141 Pages:1005-1026
  • A Pseudo-Stokes Mesh Motion Algorithm

    Luciano Gonçalves Noleto, Manuel N. D. Barcelos Jr., Antonio C. P. Brasil Jr.
    2013-05-01
    41965 4272 Pages:194-211
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