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  • A Stabilized Physics Informed Neural Networks Method for Wave Equations

    Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan
    2024-12-11
    11675 1310 Pages:1100-1127
  • 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
  • Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

    Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun
    2023-08-29
    28774 2570 Pages:634-667
  • An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection

    Jiexin Wang, Hong-Lin Liao, Ying Zhao
    2023-01-13
    34364 3094 Pages:165-181
  • A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu
    2022-03-23
    55566 3335 Pages:279-303
  • On Discontinuous and Continuous Approximations to Second-Kind Volterra Integral Equations

    Hui Liang
    2022-02-09
    44892 3606 Pages:91-124
  • On the Construction and Analysis of Finite Volume Element Schemes with Optimal $L^2$ Convergence Rate

    Xiang Wang, Yuqing Zhang
    2020-10-09
    47556 3646 Pages:47-70
  • Solution Remapping Technique to Accelerate Flow Convergence for Finite Volume Methods Applied to Shape Optimization Design

    Jufang Wang, Zheng Wang, Tiegang Liu
    2020-12-02
    49257 3061 Pages:863-880
  • The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

    Jinye Shen, Xuping Wang, Zhi-zhong Sun
    2020-03-06
    45883 4294 Pages:253-280
  • Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems

    Baohua Huang, Changfeng Ma
    2019-10-12
    46990 2733 Pages:1093-1118
  • Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Class of Implicit Complementarity Problems

    Yan Wang, Jun-Feng Yin, Quan-Yu Dou & Rui Li
    2019-04-22
    42134 2741 Pages:867-883
  • Convergence Analysis of Stochastic Collocation Methods for Maxwell Equations with Random Inputs

    Lizheng Cheng, Jiaju Man & Ziqing Xie
    2019-04-22
    41858 2660 Pages:824-844
  • 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
  • On the Convergence of Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Restricted Class of Nonlinear Complementarity Problems with $H_+$-Matrices

    Rui Li, Yan Wang & Junfeng Yin
    2018-09-17
    42215 4219 Pages:128-139
  • An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

    Cuicui Ji & Zhizhong Sun
    2017-10-01
    38727 2661 Pages:597-613
  • Analysis of the Closure Approximation for a Class of Stochastic Differential Equations

    Yunfeng Cai, Tiejun Li, Jiushu Shao & Zhiming Wang
    2020-11-03
    38999 2588 Pages:299-330
  • An Ulm-Like Cayley Transform Method for Inverse Eigenvalue Problems with Multiple Eigenvalues

    Weiping Shen, Chong Li & Xiaoqing Jin
    2016-09-01
    39139 2758 Pages:664-685
  • 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
  • Extremal Eigenvalues of the Sturm-Liouville Problems with Discontinuous Coefficients

    Shuangbing Guo, Dingfang Li, Hui Feng & Xiliang Lu
    2013-06-01
    39592 3819 Pages:657-684
  • Quasi-Optimal Convergence Rate of an AFEM for Quasi-Linear Problems of Monotone Type

    Eduardo M. Garau, Pedro Morin & Carlos Zuppa
    2018-08-14
    40442 3632 Pages:131-156
  • Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations

    Yunxia Wei & Yanping Chen
    2011-04-01
    39509 4083 Pages:419-438
  • Uniform Convergence Analysis of Finite Difference Scheme for Singularly Perturbed Delay Differential Equation on an Adaptively Generated Grid

    Jugal Mohapatra & Srinivasan Natesan
    2018-08-14
    39957 4240 Pages:1-22
  • A Coordinate Gradient Descent Method for Nonsmooth Nonseparable Minimization

    Zheng-Jian Bai, Michael K. Ng & Liqun Qi
    2009-02-01
    40688 3976 Pages:377-402
  • Smoothing Newton-Like Method for the Solution of Nonlinear Systems of Equalities and Inequalities

    Liu Yang, Yanping Chen & Xiaojiao Tong
    2009-02-01
    38561 3661 Pages:224-236
  • New Estimates for the Rate of Convergence of the Method of Subspace Corrections

    Durkbin Cho, Jinchao Xu & Ludmil Zikatanov
    2018-08-14
    39571 4949 Pages:44-56
  • Two Globally Convergent Hybrid CG Methods with Adaptive Restart Strategy for Riemannian Optimization

    Yun Wang, Meixuan Jiang, Hu Shao, Xiaoquan Wang, Ting Wu
    2025-10-22
    3824 229 Pages:1100-1124
  • 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
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