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  • An Improved Model Reduction Method on AIMs for N-S Equations Using Multilevel Finite Element Method and Hierarchical Basis

    M. Nauman Aslam, Jiazhong Zhang, Nannan Dang & Riaz Ahmad
    2018-09-18
    42276 4467 Pages:115-133
  • Weighted Integral of Infinitely Differentiable Multivariate Functions is Exponentially Convergent

    Guiqiao Xu, Yongping Liu & Jie Zhang
    2018-09-18
    41167 4198 Pages:98-114
  • Error Analysis of the Deep Mixed Residual Method for High-Order Elliptic Equations

    Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun
    2025-05-16
    7274 501 Pages:395-436
  • A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Diffusion Equation

    Changtao Sheng & Jie Shen
    2021-01-13
    43292 2865 Pages:854-876
  • Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems

    Yang Zhang, Xuhong Yu, Zhongqing Wang
    2021-01-26
    44717 2552 Pages:461-487
  • A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

    Bhupen Deka
    2018-09-17
    40218 2691 Pages:655-672
  • A Meshless Discrete Galerkin Method Based on the Free Shape Parameter Radial Basis Functions for Solving Hammerstein Integral Equations

    Pouria Assari & Mehdi Dehghan
    2018-09-17
    41329 2729 Pages:540-568
  • Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations

    Anthony Gruber, Max Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang
    2021-09-10
    59743 3027 Pages:839-861
  • The Jackson Inequality for the Best $L^2$-Approximation of Functions on [0,1] with the Weight $x$

    Jian Li & Yongping Liu
    2008-01-01
    38600 3820 Pages:340-356
  • Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems

    K. Manickam & P. Prakash
    2016-09-01
    39816 2806 Pages:528-548
  • Bivariate Polynomial Interpolation over Nonrectangular Meshes

    Jiang Qian, Sujuan Zheng, Fan Wang & Zhuojia Fu
    2016-09-01
    39770 2638 Pages:549-578
  • Second Order Convergence of the Interpolation Based on $Q^c_1$-Element

    Ruijian He & Xinlong Feng
    2016-09-01
    39752 2731 Pages:595-618
  • Lacunary Interpolation by Fractal Splines with Variable Scaling Parameters

    P. Viswanathan, A. K. B. Chand & K. R. Tyada
    2018-08-14
    39408 3922 Pages:65-83
  • A Stochastic Galerkin Method for the Boltzmann Equation with Multi-Dimensional Random Inputs Using Sparse Wavelet Bases

    Ruiwen Shu, Jingwei Hu & Shi Jin
    2020-11-03
    38943 2576 Pages:465-488
  • Spectral Method Approximation of Flow Optimal Control Problems with $H^1$-Norm State Constraint

    Yanping Chen & Fenglin Huang
    2017-10-01
    38327 2657 Pages:614-638
  • Evaluation Algorithm of PHT-Spline Surfaces

    Zhihua Wang, Falai Chen & Jiansong Deng
    2017-11-02
    39460 2694 Pages:760-774
  • On Further Study of Bivariate Polynomial Interpolation over Ortho-Triples

    Jiang Qian, Fan Wang, Yisheng Lai & Qingjie Guo
    2018-09-17
    40688 2756 Pages:247-271
  • FDMs for the PDEs of Option Pricing Under DEV Models with Counterparty Risk

    Jingtang Ma, Yong Chen, Taoshun He, Zhijun Tan
    2019-10-12
    44196 2577 Pages:1246-1265
  • A Numerical Study of Fluid-Particle Interaction with Slip Boundary Condition

    Xing Zhang, Li Luo & Xiaoping Wang
    2021-01-13
    42529 2825 Pages:795-809
  • Fully Discrete $H$1-Galerkin Mixed Finite Element Methods for Parabolic Optimal Control Problems

    Tianliang Hou, Chunmei Liu & Hongbo Chen
    2018-09-18
    41138 4198 Pages:134-153
  • Diagonalized Chebyshev Rational Spectral Methods for Second-Order Elliptic Problems on Unbounded Domains

    Yanmin Ren, Xuhong Yu & Zhongqing Wang
    2018-09-18
    41361 4339 Pages:265-284
  • Segmentation by Elastica Energy with $L$1 and $L$2 Curvatures: A Performance Comparison

    Xuan He & Wei Zhu & Xue-Cheng Tai
    2018-09-18
    42132 4432 Pages:285-311
  • Denoising Piecewise Constant Images with Selective Averaging and Outlier Removal

    Weina Wang, Shuang Wen, Chunlin Wu & Jiansong Deng
    2018-12-17
    42300 2771 Pages:467-491
  • An Interface-Unfitted Finite Element Method for Elliptic Interface Optimal Control Problems

    Chaochao Yang, Tao Wang & Xiaoping Xie
    2019-04-22
    44235 2691 Pages:727-749
  • A Weak Galerkin Finite Element Method for the Elliptic Variational Inequality

    Hui Peng, Xiuli Wang, Qilong Zhai & Ran Zhang
    2019-04-22
    43801 2720 Pages:923-941
  • The Implication of Local Thin Plate Splines for Solving Nonlinear Mixed Integro-Differential Equations Based on the Galerkin Scheme

    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    2019-10-12
    47040 2701 Pages:1066-1092
  • Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

    Qing Yang
    2018-09-17
    41035 2822 Pages:272-298
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