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  • The Numerical Simulation of Space-Time Variable Fractional Order Diffusion Equation

    Hongmei Zhang & Shujun Shen
    2013-06-01
    40049 3595 Pages:571-585
  • Discrete Approximation Scheme in Distributionally Robust Optimization

    Yongchao Liu, Xiaoming Yuan, Jin Zhang
    2021-01-26
    57990 2923 Pages:285-320
  • A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

    Yirang Yuan, Qing Yang, Changfeng Li & Tongjun Sun
    2017-10-01
    39104 2655 Pages:541-561
  • Numerical Method for Singularly Perturbed Third Order Ordinary Differential Equations of Convection-Diffusion Type

    J. Christy Roja & A. Tamilselvan
    2014-07-01
    40200 3785 Pages:265-287
  • A Staggered Discontinuous Galerkin Method with Local TV Regularization for the Burgers Equation

    Hiu Ning Chan & Eric T. Chung
    2015-08-01
    39053 2718 Pages:451-474
  • Sparse Deep Neural Network for Nonlinear Partial Differential Equations

    Yuesheng Xu, Taishan Zeng
    2023-01-13
    34347 3078 Pages:58-78
  • Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator

    Andrea Bonito, Wenyu Lei
    2023-01-21
    46313 3276 Pages:1193-1218
  • A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

    Bhupen Deka
    2018-09-17
    40218 2691 Pages:655-672
  • A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions

    Dongfang Li, Weiwei Sun, Chengda Wu
    2021-01-26
    48296 2799 Pages:355-376
  • A Gradient Recovery Technique for Enhancing the Convergence of Demagnetizing Field Based on PDE Approach

    Jing Wu, Zixuan Cui, Lei Yang, Guanghui Hu
    2025-11-10
    54 8
  • 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
    36078 2886 Pages:1063-1098
  • A Stochastic Approximation Frame Algorithm with Adaptive Directions

    Zi Xu & Yu-Hong Dai
    2008-01-01
    38422 3682 Pages:460-474
  • Analysis of the Closure Approximation for a Class of Stochastic Differential Equations

    Yunfeng Cai, Tiejun Li, Jiushu Shao & Zhiming Wang
    2020-11-03
    38999 2588 Pages:299-330
  • Sparse Approximations of the Schur Complement for Parallel Algebraic Hybrid Solvers in 3D

    L. Giraud, A. Haidar & Y. Saad
    2010-03-01
    41122 3620 Pages:276-294
  • A Sequential Least Squares Method for Elliptic Equations in Non-Divergence Form

    Ruo Li, Fanyi Yang
    2021-09-10
    46198 2539 Pages:1042-1067
  • Approximation of Derivative for a Singularly Perturbed Second-Order ODE of Robin Type with Discontinuous Convection Coefficient and Source Term

    R. Mythili Priyadharshini & N. Ramanujam
    2018-08-14
    38840 3839 Pages:100-118
  • 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
  • Superconvergent Cluster Recovery Method for the Crouzeix-Raviart Element

    Yidan Zhang, Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-01-26
    45185 2602 Pages:508-526
  • Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation

    G.N. Milstein, M.V. Tretyakov
    2020-10-09
    48799 3834 Pages:1-30
  • Semi-Discrete and Fully Discrete Weak Galerkin Finite Element Methods for a Quasistatic Maxwell Viscoelastic Model

    Jihong Xiao, Zimo Zhu, Xiaoping Xie
    2023-01-13
    33423 3119 Pages:79-110
  • Selection of Regularization Parameter in the Ambrosio-Tortorelli Approximation of the Mumford-Shah Functional for Image Segmentation

    Yufei Yu & Weizhang Huang
    2018-09-17
    41386 4087 Pages:211-234 Open-access
  • Mesh Quality and More Detailed Error Estimates of Finite Element Method

    Yunqing Huang, Liupeng Wang & Nianyu Yi
    2020-11-03
    39203 2551 Pages:420-436
  • Efficient Simulation of Wave Propagation with Implicit Finite Difference Schemes

    Wensheng Zhang, Li Tong & Eric T. Chung
    2018-08-14
    39499 3733 Pages:205-228
  • 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
  • An Improved Linearity-Preserving Cell-Centered Scheme for Nonlinear Diffusion Problems on General Meshes

    Cheng Dong, Tong Kang
    2021-01-26
    44633 2638 Pages:405-437
  • Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

    Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu
    2021-01-26
    46270 2717 Pages:377-404
  • Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

    Hailing Xuan, Xiaoliang Cheng, Weimin Han, Qichang Xiao
    2020-03-16
    57776 3128 Pages:569-594
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