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  • Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

    Shukai Du, Samuel N. Stechmann
    2025-11-20
    1362 62 Pages:1-34
  • A Numerically Stable Block Modified Gram-Schmidt Algorithm for Solving Stiff Weighted Least Squares Problems

    Musheng Wei & Qiaohua Liu
    2007-10-02
    32684 3524 Pages:595-619
  • A Neuron-Wise Subspace Correction Method for the Finite Neuron Method

    Jongho Park, Jinchao Xu, Xiaofeng Xu
    2025-10-30
    3999 184 Pages:1488-1511
  • A Restarted and Randomized Algorithm for Evaluating Energy of Extremely Large-Scale Graph

    Gang Wu, Ke Li, Jianjian Wang
    2025-09-25
    125 54
  • Numerical Computation of Bounded Solutions for a Semilinear Elliptic Equation on an Infinite Strip

    Fu-Ming Ma
    1999-04-02
    31956 3454 Pages:159-170
  • Inverse conductivity Problem with Internal Data

    Faouzi Triki, Tao Yin
    2023-04-25
    32419 2964 Pages:482-500
  • Numerical Analysis for Stochastic Time-Space Fractional Diffusion Equation Driven by Fractional Gaussian Noise

    Daxin Nie, Weihua Deng
    2024-11-13
    12702 1174 Pages:1502-1525
  • A Decoupled, Linearly Implicit and Unconditionally Energy Stable Scheme for the Coupled Cahn-Hilliard Systems

    Dan Zhao, Dongfang Li, Yanbin Tang, Jinming Wen
    2024-11-21
    15985 1485 Pages:708-730
  • Numerical Energy Dissipation for Time-Fractional Phase-Field Equations

    Chaoyu Quan, Tao Tang, Jiang Yang
    2024-11-21
    19785 1657 Pages:515-539
  • Error Analysis of Fractional Collocation Methods for Volterra Integro-Differential Equations with Noncompact Operators

    Zheng Ma, Chengming Huang, Anatoly A. Alikhanov
    2024-11-21
    16321 1381 Pages:690-707
  • Alternating Projection Based Prediction-Correction Methods for Structured Variational Inequalities

    Bing-sheng He, Li-zhi Liao & Mai-jian Qian
    2021-07-01
    31095 3300 Pages:693-710
  • Convergence and Stability of the Split-Step Theta Method for a Class of Stochastic Volterra Integro-Differential Equations Driven by Lévy Noise

    Wei Zhang
    2024-11-13
    11340 1158 Pages:1688-1713
  • A New Second Order Numerical Scheme for Solving Decoupled Mean-Field FBSDEs with Jumps

    Yabing Sun, Weidong Zhao
    2024-11-18
    3772 374 Pages:229-256
  • Uniform Superconvergence of Galerkin Methods for Singularly Perturbed Problems

    Ying Chen & Min Huang
    2018-08-22
    35516 3541 Pages:273-288
  • Jacobi Pseudospectral Method for Fourth Order Problems

    Zheng-su Wan, Ben-yu Guo & Zhong-qing Wang
    2006-08-02
    30279 3522 Pages:481-500
  • One-Parameter Finite Difference Methods and Their Accelerated Schemes for Space-Fractional Sine-Gordon Equations with Distributed Delay

    Tao Sun, Chengjian Zhang, Haiwei Sun
    2024-04-08
    18870 1851 Pages:705-734
  • Spurious Numerical Solutions of Delay Differential Equations

    Hong-Jiong Tian, Li-Qiang Fan, Yuan-Ying Zhang & Jia-Xiang Xiang
    2006-04-02
    30954 3166 Pages:181-192
  • Invariants-Preserving Du Fort-Frankel Schemes and Their Analyses for Nonlinear Schrödinger Equations with Wave Operator

    Dingwen Deng, Zhijun Li
    2024-04-08
    19089 1898 Pages:814-850
  • A Class of Two-Step Continuity Runge-Kutta Methods for Solving Singular Delay Differential Equations and Its Stability Analysis

    Xin Leng, De-Gui Liu, Xiao-Qiu Song & Li-Rong Chen
    2021-07-01
    32226 3398 Pages:647-656
  • Unconditionally Optimal Error Estimates of the Bilinear-Constant Scheme for Time-Dependent Navier-Stokes Equations

    Huaijun Yang, Dongyang Shi
    2021-11-19
    42473 3760 Pages:127-146
  • Numerical Solutions of Parabolic Problems on Unbounded 3-D Spatial Domain

    Hou-De Han & Dong-Sheng Yin
    2005-10-02
    33405 3453 Pages:449-462
  • Stability of Theoretical Solution and Numerical Solution of Nonlinear Differential Equations with Piecewise Delays

    Li-Ping Wen & Shou-Fu Li
    2005-08-02
    32683 3282 Pages:393-400
  • A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations

    Yanping Chen, Qiling Gu, Qingfeng Li, Yunqing Huang
    2022-11-08
    302278 3757 Pages:936-954
  • Stability Analysis of Runge-Kutta Methods for Nonlinear Systems of Pantograph Equations

    Yue-Xin Yu & Shou-Fu Li
    2005-08-02
    32793 3487 Pages:351-356
  • Dependence of Qualitative Behavior of the Numerical Solutions on the Ignition Temperature for a Combustion Model

    Xin-Ting Zhang & Lung-An Ying
    2005-08-02
    32542 3289 Pages:337-350
  • Boundary Value Methods for Caputo Fractional Differential Equations

    Yongtao Zhou, Chengjian Zhang, Huiru Wang
    2021-06-10
    43013 4671 Pages:108-129
  • Finite Volume Numerical Analysis for Parabolic Equation with Robin Boundary Condition

    Xia Cui
    2005-04-02
    32869 3590 Pages:165-176
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