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Numerical Mathematics: Theory, Methods and Applications
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  • New Log Basis Functions with a Scaling Factor and Their Applications

    Dong-Qin Gu, Dongya Tao, Chao Zhang
    2024-12-11
    11940 1277 Pages:1018-1040
  • On Spectral Approximations by Generalized Slepian Functions

    Jing Zhang & Li-Lian Wang
    2011-04-01
    38799 3582 Pages:296-318
  • New Rational Interpolation Basis Functions on the Unbounded Intervals and Their Applications

    Dong-Qin Gu, Zhong-Qing Wang, Chao Zhang
    2023-04-10
    37378 2832 Pages:453-488
  • Solving the Helmholtz Equation by Sparse Fundamental Solution Neural Network

    Zhiwen Wang, Minxin Chen, Jingrun Chen
    2025-10-22
    4056 297 Pages:845-880
  • Superconvergence and $L^{\infty}$-Error Estimates of RT1 Mixed Methods for Semilinear Elliptic Control Problems with an Integral Constraint

    Yanping Chen & Tianliang Hou
    2012-05-01
    39599 3629 Pages:423-446
  • 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
  • Well-Conditioned Spectral Collocation Methods for Problems in Unbounded Domains

    Dongqin Gu, Chao Zhang, Zhongqing Wang
    2020-03-09
    43596 2723 Pages:452-478
  • Immersed Interface Finite Element Methods for Elasticity Interface Problems with Non-Homogeneous Jump Conditions

    Yan Gong & Zhilin Li
    2018-08-14
    40440 3833 Pages:23-39
  • 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
  • Finite Element Approximation of Semilinear Parabolic Optimal Control Problems

    Hongfei Fu & Hongxing Rui
    2011-04-01
    41619 3739 Pages:489-504
  • A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions

    Jian-Ping Yan & Ben-Yu Guo
    2011-04-01
    40028 3822 Pages:283-295
  • The Partition of Unity Method for High-Order Finite Volume Schemes Using Radial Basis Functions Reconstruction

    Serena Morigi & Fiorella Sgallari
    2009-02-01
    39240 3808 Pages:153-179
  • Multi-Label Markov Random Fields as an Efficient and Effective Tool for Image Segmentation, Total Variations and Regularization

    Dorit S. Hochbaum
    2013-06-01
    40457 3876 Pages:169-198
  • Superoptimal Preconditioners for Functions of Matrices

    Zhengjian Bai, Xiaoqing Jin & Tengteng Yao
    2015-08-01
    39520 2783 Pages:515-529
  • A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels

    Chao Zhang, Guoqing Yao, Sheng Chen
    2023-01-21
    36006 2916 Pages:1041-1062
  • 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
  • High Order Hierarchical Divergence-Free Constrained Transport $H(div)$ Finite Element Method for Magnetic Induction Equation

    Wei Cai, Jun Hu & Shangyou Zhang
    2020-11-03
    39169 2595 Pages:243-254
  • A Hybrid Spectral Element Method for Fractional Two-Point Boundary Value Problems

    Changtao Sheng & Jie Shen
    2020-11-03
    39088 2527 Pages:437-464
  • Sparse Recovery via ℓ$_q$-Minimization for Polynomial Chaos Expansions

    Ling Guo, Yongle Liu & Liang Yan
    2017-11-02
    39679 2730 Pages:775-797
  • Spline R-Function and Applications in FEM

    Tianhui Yang, Ammar Qarariyah, Jiansong Deng
    2020-03-06
    42773 4247 Pages:150-175
  • Sparse Deep Neural Network for Nonlinear Partial Differential Equations

    Yuesheng Xu, Taishan Zeng
    2023-01-13
    34347 3078 Pages:58-78
  • Recovery Type a Posteriori Error Estimates of Fully Discrete Finite Element Methods for General Convex Parabolic Optimal Control Problems

    Yuelong Tang & Yanping Chen
    2012-05-01
    42063 3770 Pages:573-591
  • Green Function Method for Quantum Transport Based on the Generalized Fourier Transform

    Haiyan Jiang, Xingming Gao, Yueguang Hu, Tiao Lu
    2023-08-29
    28740 2511 Pages:701-719
  • A Nonlocal Total Variation Model for Image Decomposition: Illumination and Reflectance

    Wei Wang & Michael K. Ng
    2014-07-01
    40687 3723 Pages:334-355
  • An Unconditionally Stable Laguerre Based Finite Difference Method for Transient Diffusion and Convection-Diffusion Problems

    Wescley T. B. de Sousa & Carlos F. T. Matt
    2019-04-22
    44386 2737 Pages:681-708
  • On the Criteria for Online Updating of Basis Functions for Model Order Reduction Techniques

    Han Zhang, Zhiyong Wang, Zihao Mou, Taidong Niu, Helin Gong
    2025-09-01
    4794 345 Pages:619-649
  • Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

    Jichang Xiao, Xiaoqun Wang
    2024-12-11
    11842 1307 Pages:996-1017
1 - 27 of 92 items
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