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Numerical Mathematics: Theory, Methods and Applications
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  • L1 Schemes for Time-Fractional Differential Equations: A Brief Survey and New Development

    Jingjing Xiao, Yanping Chen, Fanhai Zeng, Zhongqiang Zhang
    2025-05-16
    7344 513 Pages:544-574
  • 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
  • A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications

    Yuxiang Huang, Qiaoge Li, Rongxin Li, Fanhai Zeng, Ling Guo
    2022-07-19
    42200 3147 Pages:679-714
  • Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations

    Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
    2022-02-09
    44329 3474 Pages:200-226
  • Fast Linearized Augmented Lagrangian Method for Euler's Elastica Model

    Jun Zhang, Rongliang Chen, Chengzhi Deng & Shengqian Wang
    2018-08-14
    39687 4103 Pages:98-115
  • PPIFE Method with Non-Homogeneous Flux Jump Conditions and Its Efficient Numerical Solver for Elliptic Optimal Control Problems with Interfaces

    Quanxiang Wang, Zhiyue Zhang, Enlai Zheng
    2020-03-16
    44759 2817 Pages:719-744
  • 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
  • An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

    Haixia Dong, Wenjun Ying, Jiwei Zhang
    2023-04-10
    36171 2587 Pages:541-564
  • An Iterative Multigrid Regularization Method for Toeplitz Discrete Ill-Posed Problems

    Marco Donatelli
    2012-05-01
    40900 4422 Pages:43-61 Open-access
  • Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

    Yongho Choi, Yibao Li, Chaeyoung Lee, Hyundong Kim, Junseok Kim
    2021-06-02
    47230 2736 Pages:797-810
  • An Acceleration Technique for the Augmented IIM for 3D Elliptic Interface Problems

    Changjuan Zhang, Zhilin Li, Xingye Yue
    2021-06-02
    47057 2775 Pages:773-796
  • A Fast Symmetric Alternating Direction Method of Multipliers

    Gang Luo, Qingzhi Yang
    2020-03-06
    44504 4243 Pages:200-219
  • 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
  • A Meshless and Parallelizable Method for Differential Equations with Time-Delay

    Shulin Wu & Chengming Huang
    2018-09-17
    42359 4407 Pages:92-127
  • A Fast Augmented Lagrangian Method for Euler's Elastica Models

    Yuping Duan, Yu Wang & Jooyoung Hahn
    2013-06-01
    41519 3935 Pages:47-71
  • Local MFS Matrix Decomposition Algorithms for Elliptic BVPs in Annuli

    C.S. Chen, Andreas Karageorghis, Min Lei
    2024-02-26
    23128 2057 Pages:93-120
  • 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
    23283 2034 Pages:145-180
  • Fast Texture Segmentation Based on Semi-Local Region Descriptor and Active Contour

    Nawal Houhou, Jean-Philippe Thiran & Xavier Bresson
    2009-02-01
    40170 3753 Pages:445-468
  • A Second-Order Method for the Electromagnetic Scattering from a Large Cavity

    Yingxi Wang, Kui Du & Weiwei Sun
    2008-01-01
    39567 3894 Pages:357-382
  • Solving Constrained TV2L1-L2 MRI Signal Reconstruction via an Efficient Alternating Direction Method of Multipliers

    Tingting Wu, David Z. W. Wang, Zhengmeng Jin & Jun Zhang
    2017-11-02
    39632 2684 Pages:895-912
  • A Dynamical Method for Solving the Obstacle Problem

    Qinghua Ran, Xiaoliang Cheng, Stéphane Abide
    2020-03-09
    45581 2776 Pages:353-371
  • Preconditioners for Incompressible Navier-Stokes Solvers

    A. Segal, M. ur Rehman & C. Vuik
    2010-03-01
    43010 4382 Pages:245-275 Open-access
  • Fast Multilevel CVT-Based Adaptive Data Visualization Algorithm

    M. Emelianenko
    2010-03-01
    39766 3891 Pages:195-211
  • Laguerre Spectral Method for High Order Problems

    Chao Zhang, Ben-Yu Guo & Tao Sun
    2013-06-01
    38780 3730 Pages:520-537
  • Stroke-Based Surface Reconstruction

    Jooyoung Hahn, Jie Qiu, Eiji Sugisaki, Lei Jia, Xue-Cheng Tai & Hock Soon Seah
    2013-06-01
    42305 3915 Pages:297-324
  • Truncated Newton-Based Multigrid Algorithm for Centroidal Voronoi Diagram Calculation

    Zichao Di, Maria Emelianenko & Stephen Nash
    2018-08-14
    39470 3657 Pages:242-259
  • Multigrid Methods with Newton-Gauss-Seidel Smoothing and Constraint Preserving Interpolation for Obstacle Problems

    Chunxiao Wu & Justin W.L. Wan
    2020-11-10
    39737 2695 Pages:199-219
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