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  • R-Adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-Adaptive Strategy

    Yameng Zhu, Jingrun Chen, Weibing Deng
    2025-04-06
    7151 768 Pages:31-65
  • Unconditional Convergence of Linearized TL1 Difference Methods for a Time-Fractional Coupled Nonlinear Schrödinger System

    Min Li, Dongfang Li, Ju Ming, A. S. Hendy
    2025-04-06
    7139 780 Pages:1-30
  • A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation

    Qiming Wang, Zhaojie Zhou, Wenbin Liu
    2024-08-30
    17706 1481 Pages:827-854
  • Fourier Convergence Analysis for a Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion

    Maoping Wang, Weihua Deng
    2024-08-30
    17379 1411 Pages:751-776
  • Fusing Infrared and Visible Images via a First-Order Model

    Wenli Yang, Zhongyi Huang, Wei Zhu
    2024-05-11
    26476 2238 Pages:275-309
  • Divergence-Free Virtual Element Method for the Stokes Equations with Damping on Polygonal Meshes

    Yu Xiong, Yanping Chen, Jianwei Zhou, Qin Liang
    2024-02-26
    23896 2382 Pages:210-242
  • Novel Partitioned Time-Stepping Algorithms for Fast Computation of Random Interface-Coupled Problems with Uncertain Parameters

    Yizhong Sun, Jiangshan Wang, Haibiao Zheng
    2024-02-26
    23516 2206 Pages:145-180
  • Local MFS Matrix Decomposition Algorithms for Elliptic BVPs in Annuli

    C.S. Chen, Andreas Karageorghis, Min Lei
    2024-02-26
    23349 2246 Pages:93-120
  • Low Rank and Total Variation Based Two-Phase Method for Image Deblurring with Salt-and-Pepper Impulse Noise

    Yuchao Tang, Shirong Deng, Tieyong Zeng
    2023-11-07
    26835 2398 Pages:1013-1034
  • Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

    Fengjiang Fu, Xiaoqun Wang
    2023-08-29
    28526 2540 Pages:668-700
  • 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
    29026 2649 Pages:634-667
  • Mixed Finite Element Methods for the Ferrofluid Model with Magnetization Paralleled to the Magnetic Field

    Yongke Wu, Xiaoping Xie
    2023-04-10
    37457 2677 Pages:489-510
  • New Rational Interpolation Basis Functions on the Unbounded Intervals and Their Applications

    Dong-Qin Gu, Zhong-Qing Wang, Chao Zhang
    2023-04-10
    37587 2955 Pages:453-488
  • On Quadratic Wasserstein Metric with Squaring Scaling for Seismic Velocity Inversion

    Zhengyang Li, Yijia Tang, Jing Chen, Hao Wu
    2023-04-10
    37678 2848 Pages:277-297
  • 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
    36306 2954 Pages:1063-1098
  • A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels

    Chao Zhang, Guoqing Yao, Sheng Chen
    2023-01-21
    36223 2962 Pages:1041-1062
  • The Recovery Guarantee for Orthogonal Matching Pursuit Method to Reconstruct Sparse Polynomials

    Aitong Huang, Renzhong Feng, Sanpeng Zheng
    2022-07-19
    39783 2984 Pages:793-818
  • Finite Difference Method for Inhomogeneous Fractional Dirichlet Problem

    Jing Sun, Weihua Deng, Daxin Nie
    2022-07-19
    39800 3025 Pages:744-767
  • A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation

    Yuling Guo, Jianguo Huang
    2022-07-19
    39075 3026 Pages:662-678
  • Two-Step Two-Sweep Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems

    Maryam Bashirizadeh, Masoud Hajarian
    2022-07-19
    40328 3167 Pages:592-619
  • 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
    45081 2927 Pages:510-529
  • Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations

    Dongdong Liang, Wei Gong, Xiaoping Xie
    2022-02-09
    46327 4056 Pages:165-199
  • An Efficient Variational Model for Multiplicative Noise Removal

    Min Liu, Xiliang Lu
    2022-02-09
    44346 4438 Pages:125-140
  • Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains

    Yingxia Xi, Xia Ji, Shuo Zhang
    2021-09-10
    46266 2771 Pages:920-944
  • A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations

    Xian-Ming Gu, Yong-Liang Zhao, Xi-Le Zhao, Bruno Carpentieri, Yu-Yun Huang
    2021-09-10
    49325 2794 Pages:893-919
  • An Acceleration Technique for the Augmented IIM for 3D Elliptic Interface Problems

    Changjuan Zhang, Zhilin Li, Xingye Yue
    2021-06-02
    47257 2832 Pages:773-796
  • Variant of Greedy Randomized Gauss-Seidel Method for Ridge Regression

    Li-Xiao Duan, Guo-Feng Zhang
    2021-06-02
    47865 2893 Pages:714-737
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