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  • Error Splitting Preservation for High Order Finite Difference Schemes in the Combination Technique

    Christian Hendricks, Matthias Ehrhardt & Michael Günther
    2017-10-01
    38140 2564 Pages:689-710
  • An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

    Cuicui Ji & Zhizhong Sun
    2017-10-01
    38727 2661 Pages:597-613
  • 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
  • Exact Singularity Subtraction from Boundary Integral Equations in Modeling Vesicles and Red Blood Cells

    Alexander Farutin & Chaouqi Misbah
    2014-07-01
    40040 3711 Pages:413-434
  • High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

    Xia Ji & Huazhong Tang
    2012-05-01
    41602 3617 Pages:333-358
  • Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems

    Armando Coco & Giovanni Russo
    2012-05-01
    41375 4442 Pages:19-42 Open-access
  • Higher Order Triangular Mixed Finite Element Methods for Semilinear Quadratic Optimal Control Problems

    Kang Deng, Yanping Chen & Zuliang Lu
    2011-04-01
    40236 3634 Pages:180-196
  • 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
  • Splitting Schemes for Second-Order Backward Stochastic Differential Equations

    Bo Li, Weidong Zhao, Luying Zheng
    2025-10-22
    3839 246 Pages:1003-1026
  • Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings

    Zhe Jiao, Yaxu Li, Lijing Zhao
    2025-09-01
    4694 339 Pages:650-679
  • On the Criteria for Online Updating of Basis Functions for Model Order Reduction Techniques

    Han Zhang, Zhiyong Wang, Zihao Mou, Taidong Niu, Helin Gong
    2025-09-01
    4794 345 Pages:619-649
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

    Maoqin Yuan, Lixiu Dong, Juan Zhang
    2025-04-06
    6740 554 Pages:127-156
  • A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters

    Yan Gui, Rui Du, Cheng Wang
    2024-12-11
    11732 1212 Pages:1041-1073
  • A Finite Volume Simple WENO Scheme for Convection-Diffusion Equations

    Pufan Deng, Gang Peng, Xinlong Feng, Dongmi Luo, Yibing Chen
    2024-12-11
    12150 1297 Pages:882-903
  • A Stabilizer Free Weak Galerkin Finite Element Method for Elliptic Equation with Lower Regularity

    Yiying Wang, Yongkui Zou, Xuan Liu, Chenguang Zhou
    2024-05-11
    20999 1697 Pages:514-533
  • Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity

    Siqing Li, Leevan Ling, Xin Liu, Pankaj K. Mishra, Mrinal K. Sen, Jing Zhang
    2024-05-11
    26092 2096 Pages:331-350
  • Constructing Order Two Superconvergent WG Finite Elements on Rectangular Meshes

    Xiu Ye, Shangyou Zhang
    2023-01-13
    33624 3032 Pages:230-241
  • An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection

    Jiexin Wang, Hong-Lin Liao, Ying Zhao
    2023-01-13
    34364 3094 Pages:165-181
  • Stability and Convergence Analyses of the FDM Based on Some L-Type Formulae for Solving the Subdiffusion Equation

    Reza Mokhtari, Mohadese Ramezani, Gundolf Haase
    2021-09-10
    48407 2678 Pages:945-971
  • Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

    Xinliang Liu, Lei Zhang, Shengxin Zhu
    2021-09-10
    47822 2716 Pages:862-892
  • 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
  • Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach

    Chenghua Duan, Chun Liu, Cheng Wang, Xingye Yue
    2020-03-06
    58813 4446 Pages:63-80
  • Spectral Deferred Correction Methods for Fractional Differential Equations

    Chunwan Lv, Mejdi Azaiez & Chuanju Xu
    2021-01-13
    44706 2833 Pages:729-751
  • Best Rank-One Approximation of Fourth-Order Partially Symmetric Tensors by Neural Network

    Xuezhong Wang, Maolin Che & Yimin Wei
    2021-01-13
    43330 2964 Pages:673-700
  • Evaluation Finite Moment Log-Stable Option Pricing by a Spectral Method

    Xu Guo & Leevan Ling
    2018-09-17
    51086 2824 Pages:437-452
  • Deferred Correction Methods for Forward Backward Stochastic Differential Equations

    Tao Tang, Weidong Zhao & Tao Zhou
    2020-11-03
    40683 4146 Pages:222-242 Open-access
  • 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
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