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  • 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
    41002 2879 Pages:469-486
  • Efficient Linear Schemes with Unconditional Energy Stability for the Phase Field Model of Solid-State Dewetting Problems

    Jie Chen, Zhengkang He, Shuyu Sun, Shimin Guo, Zhangxin Chen
    2020-03-24
    39379 2879 Pages:452-468
  • Variational Discretization of a Control-Constrained Parabolic Bang-Bang Optimal Control Problem

    Nikolaus von Daniels, Michael Hinze
    2020-02-06
    41601 4328 Pages:14-40
  • A Robust Discretization of the Reissner-Mindlin Plate with Arbitrary Polynomial Degree

    Dietmar Gallistl, Mira Schedensack
    2020-02-06
    71535 5955 Pages:1-13
  • A Linear Implicit L1-Legendre Galerkin Chebyshev Collocation Method for Generalized Time- and Space-Fractional Burgers Equation

    Yubo Yang, Heping Ma
    2019-04-29
    42380 3053 Pages:629-644
  • A General Class of One-Step Approximation for Index-1 Stochastic Delay-Differential-Algebraic Equations

    Tingting Qin, Chengjian Zhang
    2018-09-10
    37667 3179 Pages:151-169
  • Error Estimates of Finite Element Methods for Stochastic Fractional Differential Equations

    Xiaocui Li, Xiaoyuan Yang
    2018-08-22
    36218 2790 Pages:346-362
  • Second-Order Numerical Schemes for Decoupled Forward-Backward Stochastic Differential Equations with Jumps

    Weidong Zhao, Wei Zhang, Guannan Zhang
    2018-08-22
    35995 2842 Pages:213-244
  • Analysis of Sharp Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Parabolic Equations

    Yang Yang, Chi-Wang Shu
    2018-08-22
    36777 2764 Pages:323-340
  • A Relaxed HSS Preconditioner for Saddle Point Problems from Meshfree Discretization

    Yang Cao, Linquan Yao, Meiqun Jiang & Qiang Niu
    2018-08-22
    37567 3660 Pages:398-421
  • A Numerical Study for the Performance of the WENO Schemes Based on Different Numerical Fluxes for the Shallow Water Equations

    Changna Lu, Jianxian Qiu & Ruyun Wang
    2021-07-01
    35745 3734 Pages:807-825
  • Finite Element Approximations for Schrödinger Equations with Applications to Electronic Structure Computations

    Xin-Gao Gong, Lihua Shen, Dier Zhang & Aihui Zhou
    2018-08-07
    32881 3558 Pages:310-323
  • Hermite WENO Schemes with Lax-Wendroff Type Time Discretizations for Hamilton-Jacobi Equations

    Jianxian Qiu
    2007-04-02
    34286 3520 Pages:131-144
  • Multistep Discretization of Index 3 DAEs

    Yang Cao, Qing-Yang Li
    2000-06-02
    31902 3389 Pages:325-336
  • Time Discretization Schemes for an Integro-Differential Equation of Parabolic Type

    Yun-Qing Huang
    1994-12-01
    32850 3601 Pages:259-264
  • Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

    Lingling Zhou, Wenhua Chen, Ruihan Guo
    2025-11-20
    1336 63 Pages:286-306
  • Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction

    Begoña Cano, María Jesús Moreta
    2025-10-30
    4051 198 Pages:1604-1620
  • Rothe Method and Numerical Analysis for a Sub-Diffusion Equation with Clarke Subdifferential

    Yujie Li, Chuanju Xu
    2025-06-18
    120 42
  • Stability Analysis for Maximum Principle Preserving Explicit Isotropic Schemes of the Allen-Cahn Equation

    Jyoti, Seokjun Ham, Soobin Kwak, Youngjin Hwang, Seungyoon Kang, Junseok Kim
    2025-06-06
    140 45
  • Convergence Analysis of a Class of Regularization Methods with a Novel Discrete Scheme for Solving Inverse Problems

    M.P. Rajan
    2025-04-16
    130 27
  • Error Estimates of a Class of Serendipity Virtual Element Methods for Semilinear Parabolic Integro-Differential Equations on Curved Domains

    Yang Xu, Zhenguo Zhou, Jingjun Zhao
    2025-03-17
    107 20
  • Numerical Approximation of the Invariant Distribution for a Class of Stochastic Damped Wave Equations

    Ziyi Lei, Siqing Gan
    2025-07-12
    6001 526 Pages:976-1015
  • A First-Order, Semi-Implicit, and Unconditionally Energy-Stable Scheme for an Incompressible Ferrohydrodynamics Flow

    Xiaojing Dong, Huayi Huang, Yunqing Huang
    2025-07-12
    5886 526 Pages:866-897
  • A Decoupled, Linearly Implicit and Unconditionally Energy Stable Scheme for the Coupled Cahn-Hilliard Systems

    Dan Zhao, Dongfang Li, Yanbin Tang, Jinming Wen
    2024-11-21
    15985 1485 Pages:708-730
  • Time Multipoint Nonlocal Problem for a Stochastic Schrödinger Equation

    Roger Pettersson, Ali Sirma, Tarkan Aydin
    2024-11-19
    11612 986 Pages:369-393
  • Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems

    Jiliang Cao, Aiguo Xiao, Wansheng Wang
    2024-11-19
    11551 1023 Pages:345-368
  • 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
    13707 1054 Pages:280-314
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