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Advances in Applied Mathematics and Mechanics
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  • A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

    Jun Yang, Nianyu Yi
    2023-02-24
    39942 3426 Pages:583-601
  • A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

    Yue Zhou, Hang Xu
    2023-04-11
    37516 3085 Pages:964-983
  • Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schrödinger System

    Hao Fu, Weien Zhou, Xu Qian, Songhe Song
    2021-07-01
    42752 3868 Pages:1383-1403
  • Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model

    Xu Qian, Hao Fu, Songhe Song
    2018-05-05
    42129 3030 Pages:964-989
  • Finite Element Solution for MHD Flow of Nanofluids with Heat and Mass Transfer Through a Porous Media with Thermal Radiation, Viscous Dissipation and Chemical Reaction Effects

    Shafqat Hussain
    2018-05-05
    42843 3022 Pages:904-923
  • Asymptotic Study of a Boundary Value Problem Governed by the Elasticity Operator with Nonlinear Term

    D. Benterki, H. Benseridi, M. Dilmi
    2014-06-01
    43510 4492 Pages:191-202
  • Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method

    D. B. Dhaigude, Gunvant A. Birajdar
    2014-06-01
    45444 4955 Pages:107-119
  • Efficient Reconstruction Methods for Nonlinear Elliptic Cauchy Problems with Piecewise Constant Solutions

    Herbert Egger, Antonio Leitao
    2021-07-01
    41418 4644 Pages:729-749
  • Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

    Liping Liu, Min Huang, Kewei Yuan, Michal Křížek
    2018-08-10
    43623 4857 Pages:125-139
  • Exact and Approximate Values of the Period for a "Truly Nonlinear" Oscillator: $\ddot{x} + x + x^{1/3} = 0$

    Ronald E. Mickens, Dorian Wilkerson
    2018-08-10
    102 65 Pages:383-390
  • Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics

    Huajie Chen, Xingao Gong, Lianhua He, Aihui Zhou
    2011-03-01
    41325 4122 Pages:493-518
  • A Parallel Pressure Projection Stabilized Finite Element Method for Stokes Equation with Nonlinear Slip Boundary Conditions

    Kangrui Zhou, Yueqiang Shang
    2021-07-01
    47585 4163 Pages:1438-1456
  • Fitted Finite Volume Method for Pricing American Options under Regime-Switching Jump-Diffusion Models Based on Penalty Method

    Xiaoting Gan, Jun-Feng Yin, Rui Li
    2020-04-10
    44981 3340 Pages:748-773
  • The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

    Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo
    2020-07-24
    44555 3282 Pages:1113-1136
  • On the Fully Implicit Solution of a Phase-Field Model for Binary Alloy Solidification in Three Dimensions

    Christopher E. Goodyer, Peter K. Jimack, Andrew M. Mullis, Hongbiao Dong, Yu Xie
    2021-07-01
    43316 4293 Pages:665-684
  • 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
  • Three Boundary Meshless Methods for Heat Conduction Analysis in Nonlinear FGMs with Kirchhoff and Laplace Transformation

    Zhuo-Jia Fu, Wen Chen, Qing-Hua Qin
    2012-04-01
    41652 4255 Pages:519-542
  • An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

    Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang
    2022-08-08
    275646 3715 Pages:1400-1432
  • 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
  • Superconvergence of Finite Element Approximations of the Two-Dimensional Cubic Nonlinear Schrödinger Equation

    Jianyun Wang, Zhikun Tian
    2022-02-25
    48906 3338 Pages:652-665
  • A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations

    Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song
    2022-06-13
    42256 3537 Pages:1181-1200
  • Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy

    Changhui Yao, Yanfei Li
    2020-12-18
    43303 3150 Pages:481-502
  • Integral Equation Method for Inverse Scattering Problem from the Far-Field Data

    Yuqing Hu
    2021-11-17
    48656 3875 Pages:1558-1574
  • Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

    Peizhen Wang, Dandan Zhang, Wei Yang
    2021-04-13
    44857 3244 Pages:791-805
  • Anderson Acceleration of Nonlinear Solvers for the Stationary Gross-Pitaevskii Equation

    Dominique Forbes, Leo G. Rebholz, Fei Xue
    2021-06-08
    45627 3221 Pages:1096-1125
  • Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

    Zhikun Tian, Yanping Chen, Jianyun Wang
    2018-09-17
    44905 3095 Pages:468-484
  • 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
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