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Numerical Mathematics: Theory, Methods and Applications
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  • A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

    Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang
    2021-06-02
    47662 2841 Pages:738-772
  • Discrete Approximation Scheme in Distributionally Robust Optimization

    Yongchao Liu, Xiaoming Yuan, Jin Zhang
    2021-01-26
    57990 2923 Pages:285-320
  • A 2D Staggered Multi-Material ALE Code Using MOF Interface Reconstruction

    Yibing Chen, Junxia Cheng, Liang Pan, Haihua Yang, Heng Yong, Xin Yu
    2020-10-09
    47455 3687 Pages:219-241
  • On the Construction and Analysis of Finite Volume Element Schemes with Optimal $L^2$ Convergence Rate

    Xiang Wang, Yuqing Zhang
    2020-10-09
    47556 3646 Pages:47-70
  • Newton Linearized Methods for Semilinear Parabolic Equations

    Boya Zhou, Dongfang Li
    2020-12-02
    49125 3013 Pages:928-945
  • Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

    Liupeng Wang, Yunqing Huang, Kai Jiang
    2020-03-09
    45713 2820 Pages:372-399
  • Auxiliary Equations Approach for the Stochastic Unsteady Navier-Stokes Equations with Additive Random Noise

    Wenju Zhao, Max Gunzburger
    2020-03-06
    44785 4337 Pages:1-26
  • Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Unsteady Natural Convection Problems

    Yihui Han, Hongliang Li, Xiaoping Xie
    2019-10-12
    45177 2554 Pages:1266-1308
  • Numerical Investigations of a Class of Biological Models on Unbounded Domain

    Qiumei Huang, Dongfang Li & Jiwei Zhang
    2018-09-18
    41728 4515 Pages:169-186
  • A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

    Bhupen Deka
    2018-09-17
    40218 2691 Pages:655-672
  • A High Order Compact Scheme for a Thermal Wave Model of Bio-Heat Transfer with an Interface

    Suruchi Singh, Swarn Singh & Zhilin Li
    2018-09-17
    40238 2764 Pages:321-337
  • Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials

    Shanghui Jia, Changhui Yao & Shuai Su
    2018-09-17
    42921 4792 Pages:30-48
  • Itô-Taylor Schemes for Solving Mean-Field Stochastic Differential Equations

    Yabing Sun, Jie Yang & Weidong Zhao
    2017-11-02
    39376 2709 Pages:798-828
  • Nonconforming Finite Element Methods for Wave Propagation in Metamaterials

    Changhui Yao & Lixiu Wang
    2018-08-14
    39226 3916 Pages:145-166
  • Two-Stage Image Segmentation Scheme Based on Inexact Alternating Direction Method

    Zhanjiang Zhi, Yi Sun & Zhifeng Pang
    2016-09-01
    38954 2589 Pages:451-469
  • Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain

    Gongsheng Li, Chunlong Sun, Xianzheng Jia & Dianhu Du
    2016-09-01
    39829 2664 Pages:337-357
  • High Order Energy-Preserving Method of the "Good" Boussinesq Equation

    Chaolong Jiang, Jianqiang Sun, Xunfeng He & Lanlan Zhou
    2016-09-01
    39570 4238 Pages:111-122
  • Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

    Zhengqin Yu & Xiaoping Xie
    2015-08-01
    38249 2615 Pages:582-604
  • Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

    Lijun Yi & Zhongqing Wang
    2014-07-01
    39783 3945 Pages:149-178
  • Superconvergence and Asymptotic Expansions for Bilinear Finite Volume Element Approximations

    Cunyun Nie, Shi Shu, Haiyuan Yu & Juan Wu
    2013-06-01
    38541 3501 Pages:408-423
  • Robust a Simulation for Shallow Flows with Friction on Rough Topography

    Jian Deng, Ruo Li, Tao Sun & Shuonan Wu
    2013-06-01
    38856 3636 Pages:384-407
  • Quadrature Based Optimal Iterative Methods with Applications in High-Precision Computing

    Sanjay Kumar Khattri
    2012-05-01
    41619 3520 Pages:592-601
  • Asymptotic Preserving Schemes for Semiconductor Boltzmann Equation in the Diffusive Regime

    Jia Deng
    2018-08-14
    39010 3359 Pages:278-296
  • A Finite Difference Scheme for Blow-Up Solutions of Nonlinear Wave Equations

    Chien-Hong Cho
    2010-03-01
    41983 4005 Pages:475-498
  • Fast Solvers of Fredholm Optimal Control Problems

    Mario Annunziato & Alfio Borzì
    2010-03-01
    41036 3788 Pages:431-448
  • Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics

    Huazhong Tang, Kun Xu & Chunpei Cai
    2010-03-01
    42083 4047 Pages:387-404
  • High-Order Leap-Frog Based Discontinuous Galerkin Method for the Time-Domain Maxwell Equations on Non-Conforming Simplicial Meshes

    Hassan Fahs
    2009-02-01
    40727 3564 Pages:275-300
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