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  • BINet: Learn to Solve Partial Differential Equations with Boundary Integral Networks

    Guochang Lin, Pipi Hu, Fukai Chen, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi
    2023-02-14
    35300 3230 Pages:275-305
  • Iterative Runge-Kutta-Type Methods with Convex Penalty for Inverse Problems in Hilbert Spaces

    Shanshan Tong, Wei Wang, Zhenwu Fu, Bo Han
    2023-02-14
    34276 3189 Pages:225-255
  • Unconditionally Maximum-Principle-Preserving Parametric Integrating Factor Two-Step Runge-Kutta Schemes for Parabolic Sine-Gordon Equations

    Hong Zhang, Xu Qian, Jun Xia, Songhe Song
    2023-01-09
    33429 3721 Pages:177-224
  • Relaxed Alternating Minimization Algorithm for Separable Convex Programming with Applications to Imaging

    Shuangshuang Wu, Yuchao Tang, Tieyong Zeng
    2022-11-07
    294666 3098 Pages:626-661
  • A High Order Explicit Time Finite Element Method for the Acoustic Wave Equation with Discontinuous Coefficients

    Zhiming Chen, Yong Liu, Xueshuang Xiang
    2024-11-29
    13958 1199 Pages:735-787
  • Numerical Research for the 2D Vorticity-Stream Function Formulation of the Navier-Stokes Equations and Its Application in Vortex Merging at High Reynolds Numbers

    Jue Wang, Hongwei Ding, Lei Zhang
    2022-05-30
    39464 3168 Pages:244-272
  • On Symmetry Breaking of Allen-Cahn

    Dong Li, Chaoyu Quan, Tao Tang, Wen Yang
    2022-05-30
    40963 3256 Pages:221-243
  • A Holomorphic Operator Function Approach for the Laplace Eigenvalue Problem Using Discontinuous Galerkin Method

    Yingxia Xi, Xia Ji
    2021-11-29
    38650 3333 Pages:776-792
  • Linear Constrained Rayleigh Quotient Optimization: Theory and Algorithms

    Yunshen Zhou, Zhaojun Bai, Ren-Cang Li
    2021-05-13
    44837 3618 Pages:195-262
  • Distributed Finite-Time Nash Equilibrium Seeking for Non-Cooperative Games

    Xiao Fang, Jinhu Lü, Guanghui Wen
    2021-02-26
    42208 4795 Pages:162-174
  • Two Modified Schemes for the Primal Dual Fixed Point Method

    Ya-Nan Zhu, Xiaoqun Zhang
    2021-02-26
    41420 4328 Pages:108-130
  • A Family of Curl-Curl Conforming Finite Elements on Tetrahedral Meshes

    Qian Zhang, Zhimin Zhang
    2020-12-31
    41420 3808 Pages:639-663
  • Hartley Spectral Pooling for Deep Learning

    Hao Zhang, Jianwei Ma
    2020-09-25
    41560 3758 Pages:518-529
  • On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

    Weinan E, Stephan Wojtowytsch
    2020-09-25
    43801 3819 Pages:387-440
  • A Variational Model for Simultaneously Image Denoising and Luminance Adjustment

    Wei Wang, Ruofan Liu
    2022-08-31
    33261 3125 Pages:428-447
  • A General Non-Lipschitz Joint Regularized Model for Multi-Channel/Modality Image Reconstruction

    Yiming Gao, Chunlin Wu
    2021-08-31
    40530 3673 Pages:395-430
  • Multipliers Correction Methods for Optimization Problems over the Stiefel Manifold

    Lei Wang, Bin Gao, Xin Liu
    2021-08-31
    44887 3708 Pages:508-531
  • Numerical Analysis of Finite Dimensional Approximations in Finite Temperature DFT

    Ge Xu, Huajie Chen, Xingyu Gao
    2025-05-29
    8649 603 Pages:412-434
  • Image Denoising via Group Sparse Representations over Local SVD and Variational Model

    Wenli Yang, Zhongyi Huang, Wei Zhu
    2025-05-29
    8555 587 Pages:380-411
  • Error Estimates of Operator Splitting Spectral Method for Semiclassical Sub-Diffusive Gross-Pitaevskii Equation

    Wansheng Wang, Yi Huang, Yanming Zhang
    2025-11-25
    426 123
  • Efficient Numerical Methods for Computing Stationary States of Spherical Landau-Brazovskii Model

    Qun Qiu, Wei Si, Guanghua Ji, Kai Jiang
    2025-09-11
    4190 404 Pages:435-467
  • An Efficient Iteration Based on Reduced Basis Method for Time-Dependent Problems with Random Inputs

    Dou Dai, Qiuqi Li, Huailing Song
    2025-09-30
    19095 449 Pages:760-798
  • A Novel up to Fourth-Order Equilibria-Preserving and Energy-Stable Exponential Runge-Kutta Framework for Gradient Flows

    Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian
    2025-02-11
    10820 979 Pages:106-147
  • A Variational Discretization Method for Mean Curvature Flows by the Onsager Principle

    Yihe Liu, Xianmin Xu
    2025-02-11
    11325 1075 Pages:63-95
  • A Hue-Preserving Color Image Restoration Model Using Saturation-Value Total Variation

    Wei Wang, Yuming Yang
    2026-01-25
    734 73 Pages:120-145
  • Error Estimates of Finite Element Methods for the Nonlinear Backward Stochastic Stokes Equations

    Yongwang Sun, Weidong Zhao, Wenju Zhao
    2025-02-11
    11975 1090 Pages:31-62
  • Bifurcation and Crossover Processes in the Dynamics of a Marburg Haemorrhagic Fever Model

    EF. Doungmo Goufo, I. Tchangou Toudjeu
    2025-12-01
    386 93 Pages:406-432
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