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  • On Fully Discrete Finite Element Schemes for Equations of Motion of Kelvin-Voigt Fluids

    Saumya Bajpai, Neela Nataraj, Amiya K. Pani
    2013-10-01
    32445 2665 Pages:481-507
  • Stability of Two-Integrators for the Aliev-Panfilov System

    M. Hanslien, R. Artebrant, A. Tveito, G. T. Lines, X. Cai
    2011-08-01
    33122 2556 Pages:427-442
  • DNS of Forced Mixing Layer

    M. J. Maghrebi, A. Zarghami
    2018-08-15
    31710 3911 Pages:173-193
  • An a Priori Error Analysis of Operator Upscaling for the Acoustic Wave Equation

    T. Vdovina, S. E. Minkoff
    2008-05-01
    31776 3428 Pages:543-569
  • A Splitting Spectral Method for the Nonlinear Dirac-Poisson Equations

    Dandan Wang, Yong Zhang, Hanquan Wang
    2023-05-22
    29092 2425 Pages:577-595
  • A Doubly Adaptive Penalty Method for the Navier Stokes Equations

    Kiera Kean, Xihui Xie, Shuxian Xu
    2023-03-30
    29927 2654 Pages:407-436
  • Comparative Studies on Mesh-Free Deep Neural Network Approach Versus Finite Element Method for Solving Coupled Nonlinear Hyperbolic/Wave Equations

    Xingwen Zhu, Mingyan He, Pengtao Sun
    2022-08-22
    297414 2852 Pages:603-629
  • Energy Stable Time Domain Finite Element Methods for Nonlinear Models in Optics and Photonics

    Asad Anees, Lutz Angermann
    2022-06-22
    37591 2648 Pages:511-541
  • Explicit-Implicit Splitting Schemes for Some Systems of Evolutionary Equations

    F. Gaspar, A. Grigoriev, P. Vabishchevich
    2021-10-20
    33996 2669 Pages:346-357
  • On Error Estimates of the Pressure-Correction Projection Methods for the Time-Dependent Navier-Stokes Equations

    Haiyan Sun, Yinnian He, Xinlong Feng
    2018-08-15
    33094 3734 Pages:70-85
  • Analysis of the [$L^2$, $L^2$, $L^2$] Least-Squares Finite Element Method for Incompressible Oseen-Type Problems

    C. L. Chang & S.-Y. Yang
    2021-11-09
    31022 2418 Pages:402-424
  • Analysis of Any-Order Runge-Kutta Spectral Volume Schemes for 1D Hyperbolic Equations

    Ping Wei, Qingsong Zou
    2025-12-28
    1113 147 Pages:184-222
  • Fast Numerical Solvers for Subdiffusion Problems with Spatial Interfaces

    Boyang Yu, Yonghai Li, Jiangguo Liu
    2024-05-20
    20014 1584 Pages:431-458
  • Unconditionally Energy Stable and First-Order Accurate Numerical Schemes for the Heat Equation with Uncertain Temperature-Dependent Conductivity

    Joseph Anthony Fiordilino, Matthew Winger
    2023-11-13
    22461 1986 Pages:805-831
  • Monolithic and Partitioned Finite Element Schemes for FSI Based on an ALE Divergence-Free HDG Fluid Solver and a TDNNS Structural Solver

    Guosheng Fu
    2023-01-14
    28414 2672 Pages:267-312
  • Asymptotically Exact a Posteriori Error Estimates for the Local Discontinuous Galerkin Method for Nonlinear KdV Equations in One Space Dimension

    Mahboub Baccouch
    2020-10-27
    36812 2711 Pages:767-793
  • Higher-Order Linearized Multistep Finite Difference Methods for Non-Fickian Delay Reaction-Diffusion Equations

    Qifeng Zhang, Ming Mei, Chengjian Zhang
    2016-01-08
    33116 4173 Pages:1-19
  • Global Convergence of a Posteriori Error Estimates for the Discontinuous Galerkin Method for One-Dimensional Linear Hyperbolic Problems

    M. Baccouch
    2021-10-20
    33497 3783 Pages:172-192
  • A Fast Second-Order Finite Difference Method for Space-Fractional Diffusion Equations

    T. S. Basu, H. Wang
    2012-08-06
    34844 2588 Pages:658-666
  • A Sharp $\alpha$-Robust $L1$ Scheme on Graded Meshes for Two-Dimensional Time Tempered Fractional Fokker-Planck Equation

    Can Wang, Weihua Deng, Xiangong Tang
    2023-11-13
    23951 2259 Pages:739-771
  • Exponent Splitting Schemes for Evolution Equations with Fractional Powers of Operators

    Petr N. Vabishchevich
    2023-03-30
    29632 2593 Pages:371-390
  • Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System

    Konstantinos Chrysafinos, Dimitrios Kostas
    2022-09-27
    40835 2802 Pages:404-423
  • A Scalar Auxiliary Variable (SAV) and Operator Splitting Compact Finite Difference Method for Peritectic Phase Field Model

    Jiajie Fei, Shusen Xie , Chunguang Chen
    2022-03-22
    30402 3239 Pages:85-100
  • A General Strategy for Numerical Approximations of Non-Equilibrium Models – Part I: Thermodynamical Systems

    Jia Zhao, Xiaofeng Yang, Yuezheng Gong, Xueping Zhao, Xiaogang Yang, Jun Li, Qi Wang
    2018-08-15
    34429 2805 Pages:884-918
  • A High Order Parallel Method for Time Discretization of Parabolic Type Equations Based on Laplace Transformation and Quadrature

    Vidar Thomée
    2005-04-03
    33123 4009 Pages:85-96
  • Convergence Analysis of Yee-FDTD Schemes for 3D Maxwell's Equations in Linear Dispersive Media

    ​Puttha Sakkaplangkul, Vrushali A. Bokil
    2021-05-25
    41421 2696 Pages:524-568
  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Stokes Flow

    Xiuli Wang, Yuanyuan Liu, Qilong Zhai
    2020-08-04
    35825 2684 Pages:732-745
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