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  • D-Convergence and Stability of a Class of Linear Multistep Methods for Nonlinear DDEs

    Cheng-Jia Zhang, Xiao-Xin Liao
    2000-04-02
    31860 3342 Pages:199-206
  • Exponential Time Differencing-Padé Finite Element Method for Nonlinear Convection-Diffusion-Reaction Equations with Time Constant Delay

    Haishen Dai, Qiumei Huang, Cheng Wang
    2023-04-25
    31385 2834 Pages:370-394
  • Numerical Analysis of a Nonlinear Singularly Perturbed Delay Volterra Integro-Differential Equation on an Adaptive Grid

    Libin Liu, Yanping Chen, Ying Liang
    2022-10-06
    37549 3099 Pages:258-274
  • Physics Informed Neural Networks (PINNs) For Approximating Nonlinear Dispersive PDEs

    Genming Bai, Ujjwal Koley, Siddhartha Mishra, Roberto Molinaro
    2021-11-19
    41374 3767 Pages:816-847
  • Mixed Finite Element Methods for a Strongly Nonlinear Parabolic Problem

    Yan-Ping Chen
    1999-04-02
    32453 3178 Pages:209-220
  • Nonlinear Integer Programming and Global Optimization

    Lian-Sheng Zhang, Feng Gao, Wen-Xing Zhu
    1999-04-02
    32644 3343 Pages:179-190
  • Nonlinear Galerkin Method and Crank-Nicolson Method for Viscous Incompressible Flow

    Yin-Nian He, Dong-Sheng Li, Kai-Tai Li
    1999-04-02
    33087 3454 Pages:139-158
  • A Leap Frog Finite Difference Scheme for a Class of Nonlinear Schrödinger Equations of High Order

    Wen-Ping Zeng
    1999-04-02
    32517 3371 Pages:133-138
  • An Overlapping Domain Decomposition Splitting Algorithm for Stochastic Nonlinear Schrödinger Equation

    Lihai Ji
    2025-07-12
    6252 579 Pages:791-812
  • Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity

    Jiyong Li
    2024-11-19
    13946 1106 Pages:280-314
  • Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation

    Hanzhang Hu, Yanping Chen, Jianwei Zhou
    2024-04-09
    26603 2095 Pages:1124-1144
  • Sharp Pointwise-in-Time Error Estimate of L1 Scheme for Nonlinear Subdiffusion Equations

    Dongfang Li, Hongyu Qin, Jiwei Zhang
    2024-04-08
    19207 1884 Pages:662-678
  • A Reduced Order Schwarz Method for Nonlinear Multiscale Elliptic Equations Based on Two-Layer Neural Networks

    Shi Chen, Zhiyan Ding, Qin Li, Stephen J. Wright
    2024-01-16
    25808 2144 Pages:570-596
  • Unconditional Error Analysis of VEMs for a Generalized Nonlinear Schrödinger Equation

    Meng Li, Jikun Zhao, Shaochun Chen
    2024-01-16
    25906 2173 Pages:500-543
  • Conservative Conforming and Nonconforming VEMs for Fourth Order Nonlinear Schrödinger Equations with Trapped Term

    Meng Li, Jikun Zhao, Zhongchi Wang, Shaochun Chen
    2024-01-16
    26238 2276 Pages:454-499
  • Stability and Convergence of Stepsize-Dependent Linear Multistep Methods for Nonlinear Dissipative Evolution Equations in Banach Space

    Wansheng Wang
    2024-01-16
    26047 2149 Pages:337-354
  • Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang
    2023-12-01
    29360 2742 Pages:217-247
  • A Positivity-Preserving Finite Element Method for Quantum Drift-Diffusion Model

    Pengcong Mu, Weiying Zheng
    2023-05-08
    40616 3113 Pages:909-932
  • A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach

    Yayun Fu, Wenjun Cai, Yushun Wang
    2023-05-08
    41303 3127 Pages:797-816
  • Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation via Block Boundary Value Methods

    Xiaoqiang Yan, Xu Qian, Hong Zhang, Songhe Song, Xiujun Cheng
    2023-04-25
    38649 3255 Pages:643-662
  • Superconvergence Analysis of a BDF-Galerkin FEM for the Nonlinear Klein-Gordon-Schrödinger Equations with Damping Mechanism

    Dongyang Shi, Houchao Zhang
    2022-11-15
    301230 3151 Pages:224-245
  • Strong Convergence of the Euler-Maruyama Method for Nonlinear Stochastic Volterra Integral Equations with Time-Dependent Delay

    Siyuan Qi, Guangqiang Lan
    2022-10-06
    45721 3021 Pages:437-452
  • Convergence Analysis on SS-HOPM for BEC-Like Nonlinear Eigenvalue Problems

    Yaozong Tang, Qingzhi Yang, Gang Luo
    2021-07-05
    38879 2954 Pages:621-632
  • Implicit-Explicit Runge-Kutta-Rosenbrock Methods with Error Analysis for Nonlinear Stiff Differential Equations

    Bin Huang, Aiguo Xiao, Gengen Zhang
    2021-07-05
    39614 3107 Pages:599-620
  • Error Estimates for Two-Scale Composite Finite Element Approximations of Nonlinear Parabolic Equations

    Tamal Pramanick
    2021-07-05
    39783 2971 Pages:493-517
  • A Two-Grid Method for the C0 Interior Penalty Discretization of the Monge-Ampère Equation

    Gerard Awanou, Hengguang Li, Eric Malitz
    2020-05-19
    39707 2903 Pages:547-564
  • A Fully Discrete Implicit-Explicit Finite Element Method for Solving the FitzHugh-Nagumo Model

    Li Cai, Ye Sun, Feifei Jing, Yiqiang Li, Xiaoqin Shen, Yufeng Nie
    2020-03-24
    41140 2917 Pages:469-486
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