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  • Strong Convergence of the Semi-Implicit Euler Method for a Kind of Stochastic Volterra Integro-Differential Equations

    Jianfang Gao, Shufang Ma & Hui Liang
    2018-12-17
    43180 2803 Pages:547-565
  • Convergence and Stability Analysis of Exponential General Linear Methods for Delay Differential Equations

    Jingjun Zhao, Yu Li & Yang Xu
    2018-09-17
    40411 2783 Pages:354-382
  • Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

    Qing Yang
    2018-09-17
    41035 2822 Pages:272-298
  • Error Estimates for the Time Discretization of a Semilinear Integrodifferential Parabolic Problem with Unknown Memory Kernel

    Marijke Grimmonprez, Karel Van Bockstal & Marián Slodička
    2018-08-14
    38724 3822 Pages:116-144
  • Adaptive Mixed GMsFEM for Flows in Heterogeneous Media

    Ho Yuen Chan, Eric Chung & Yalchin Efendiev
    2016-09-01
    40200 3878 Pages:497-527 Open-access
  • Difference Approximation of Stochastic Elastic Equation Driven by Infinite Dimensional Noise

    Yinghan Zhang, Xiaoyuan Yang & Ruisheng Qi
    2016-09-01
    38419 4060 Pages:123-146
  • Fitted Mesh Method for a Class of Singularly Perturbed Differential-Difference Equations

    Devendra Kumar
    2015-08-01
    40243 2908 Pages:496-514
  • Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

    Limei Li & Da Xu
    2014-07-01
    41089 4041 Pages:41-57
  • A Numerical Study of Blowup in the Harmonic Map Heat Flow Using the MMPDE Moving Mesh Method

    Ronald D. Haynes, Weizhang Huang & Paul A. Zegeling
    2013-06-01
    39174 3585 Pages:364-383
  • Multigrid Solution of a Lavrentiev-Regularized State-Constrained Parabolic Control Problem

    Alfio Borzì & Sergio González Andrade
    2012-05-01
    40883 4451 Pages:1-18 Open-access
  • Spectral Petrov-Galerkin Methods for the Second Kind Volterra Type Integro-Differential Equations

    Xia Tao, Ziqing Xie & Xiaojun Zhou
    2011-04-01
    40221 3704 Pages:216-236
  • A Modularized Algorithmic Framework for Interface Related Optimization Problems Using Characteristic Functions

    Dong Wang, Shangzhi Zeng, Jin Zhang, Ning Zhang
    2025-05-16
    7175 479 Pages:437-462
  • Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

    Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang
    2025-04-06
    6698 552 Pages:226-258
  • Stability and Convergence of the Integral-Averaged Interpolation Operator Based on $Q_1$-Element in $\mathbb{R}^n$

    Yaru Liu, Yinnian He, Xinlong Feng
    2024-05-11
    20764 1693 Pages:494-513
  • A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

    Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie
    2024-05-11
    21342 1630 Pages:429-462
  • Fusing Infrared and Visible Images via a First-Order Model

    Wenli Yang, Zhongyi Huang, Wei Zhu
    2024-05-11
    26249 2176 Pages:275-309
  • Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao, Kun Wang
    2024-02-26
    28458 2771 Pages:1-36
  • An Alternating Direction Method of Multipliers for Inverse Lithography Problem

    Junqing Chen, Haibo Liu
    2023-08-29
    29114 2407 Pages:820-846
  • Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

    Fengjiang Fu, Xiaoqun Wang
    2023-08-29
    28317 2473 Pages:668-700
  • Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise

    Yajing Li, Yejuan Wang, Weihua Deng, Daxin Nie
    2023-01-21
    36078 2886 Pages:1063-1098
  • Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains

    Huiyuan Li, Ruiqing Liu, Li-Lian Wang
    2023-01-21
    37016 2939 Pages:1009-1040
  • Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations

    Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun
    2022-07-19
    42008 3178 Pages:565-591
  • A Variant Modified Skew-Normal Splitting Iterative Method for Non-Hermitian Positive Definite Linear Systems

    Rui Li, Jun-Feng Yin, Zhi-Lin Li
    2022-03-23
    44881 2876 Pages:510-529
  • High Order Mixed Finite Elements with Mass Lumping for Elasticity on Triangular Grids

    Yan Yang, Xiaoping Xie
    2022-02-09
    43150 3625 Pages:227-250
  • Linearized Double-Shock Approximate Riemann Solver for Augmented Linear Elastic Solid

    Zhiqiang Zeng, Chengliang Feng, Changsheng Yu, Tiegang Liu
    2022-02-09
    43697 3648 Pages:141-164
  • Strong Convergence of a Fully Discrete Scheme for Multiplicative Noise Driving SPDEs with Non-Globally Lipschitz Continuous Coefficients

    Xu Yang, Weidong Zhao
    2021-09-10
    45613 2722 Pages:1085-1109
  • Accelerated Non-Overlapping Domain Decomposition Method for Total Variation Minimization

    Xue Li, Zhenwei Zhang, Huibin Chang, Yuping Duan
    2021-09-10
    46883 2622 Pages:1017-1041
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