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  • A Time Second-Order Characteristic Finite Element Method for Nonlinear Advection-Diffusion Equations

    Baohui Hou, Dong Liang
    2019-02-22
    36046 2702 Pages:276-296
  • Sixth-Order Compact Differencing with Staggered Boundary Schemes and 3(2) Bogacki-Shampine Pairs for Pricing Free-Boundary Options

    Chinonso Nwankwo, Weizhong Dai
    2024-10-09
    13874 1061 Pages:793-821
  • The Time High-Order Energy-Preserving Schemes for the Nonlocal Benjamin-Ono Equation

    Chunguang Chen, Dong Liang, Shusen Xie
    2020-08-04
    32070 2639 Pages:543-556
  • Improved Error Estimates of a Finite Difference/Spectral Method for Time-Fractional Diffusion Equations

    Chunwan Lv & Chuanju Xu
    2015-12-01
    35257 2666 Pages:384-400
  • Numerical Analysis of Augmented FVM for Nonlinear Time Fractional Degenerate Parabolic Equation

    Muhammad Aamir Ali, Zhiyue Zhang, Jianqiang Xie
    2025-03-14
    8138 766 Pages:340-360
  • Construction and Analysis of Weighted Sequential Splitting FDTD Methods for the 3D Maxwell's Equations

    Vrushali A. Bokil, Puttha Sakkaplangkul
    2018-08-15
    32402 2534 Pages:747-784
  • A Priori Error Estimates for Semidiscrete Finite Element Approximations to Equations of Motion Arising in Oldroyd Fluids of Order One

    D. Goswami, A. K. Pani
    2011-08-01
    32182 2616 Pages:324-352
  • Second Order Decoupled Implicit/Explicit Method of the Primitive Equations of the Ocean I: Time Discretization

    Yinnian He
    2015-12-01
    33338 4023 Pages:1-30
  • Symmetric High Order Gautschi-Type Exponential Wave Integrators Pseudospectral Method for the Nonlinear Klein-Gordon Equation in the Nonrelativistic Limit Regime

    Yan Wang, Xiaofei Zhao
    2018-08-15
    32066 2517 Pages:405-427
  • The Time Second-Order Characteristic FEM for Nonlinear Multicomponent Aerosol Dynamic Equations in Environment

    Kai Fu, Dong Liang, Wenqia Wang & Ming Cui
    2015-12-01
    34229 2621 Pages:211-229
  • Spatial Error Estimates for a Finite Element Viscosity-Splitting Scheme for the Navier-Stokes Equations

    F. Guillen-Gonzalez, M. V. Redondo-Neble
    2013-10-01
    33075 2551 Pages:826-844
  • Efficient and Long-Time Accurate Second-Order Decoupled Method for the Blood Solute Dynamics Model

    Sabah Atrout, Md. Abdullah Al Mahbub, Chenyang Li, Haibiao Zheng
    2025-10-21
    4365 272 Pages:24-62
  • Numerical Analysis of the Finite Difference Time Domain Methods with High Accuracy in Time for Maxwell Equations

    Liping Gao, Xiaosong Zhang, Rengang Shi
    2025-08-04
    5903 453 Pages:843-859
  • Nonlocal-in-Time Dynamics and Crossover of Diffusive Regimes

    Qiang Du, Zhi Zhou
    2023-03-30
    30202 2634 Pages:353-370
  • Even-Odd Cycled High-Order Splitting Finite Difference Time Domain Method for Maxwell's Equations

    Maninder Sarai, Dong Liang
    2021-02-04
    33045 3346 Pages:79-99
  • Variable Time-Step θ-Scheme for Nonlinear Second Order Evolution Inclusion

    Krzysztof Bartosz
    2017-10-03
    32716 2742 Pages:842-868
  • Parametric Model Reduction with Convolutional Neural Networks

    Yumeng Wang, Shiping Zhou, Yanzhi Zhang
    2024-10-08
    12930 1022 Pages:716-738
  • A Time-Accurate, Adaptive Discretization for Fluid Flow Problems

    Victor Decaria, William Layton, Haiyun Zhao
    2020-02-03
    35884 3799 Pages:254-280 Open-access
  • Long Time Stability of a Linearly Extrapolated Blended BDF Scheme for Multiphysics Flows

    Aytekin ÇIbik, Fatma G. Eroglu, Songul Kaya
    2021-02-04
    34657 3907 Pages:24-41
  • Modified BDF2 Schemes for Subdiffusion Models with a Singular Source Term

    Minghua Chen, Jiankang Shi, Zhi Zhou
    2025-08-04
    5846 467 Pages:897-924
  • A Second-Order Crank-Nicolson Method for Time-Fractional PDEs

    Max Gunzburger, Jilu Wang
    2019-02-22
    37766 2809 Pages:225-239
  • An Adaptive Linear Time Stepping Algorithm for Second-Order Linear Evolution Problems

    Junjiang Lai & Jianguo Huang
    2015-12-01
    34699 2707 Pages:230-253
  • Variable Time Step Method of Dahlquist, Liniger and Nevanlinna (DLN) for a Corrected Smagorinsky Model

    Farjana Siddiqua, Wenlong Pei
    2024-10-09
    13886 1041 Pages:879-909
  • A Posteriori Error Estimates for Mixed Finite Element Galerkin Approximations to Second Order Linear Hyperbolic Equations

    Samir Karaa & Amiya K. Pani
    2018-09-18
    32057 2552 Pages:571-590
  • A Second-Order Embedded Low-Regularity Integrator for the Quadratic Nonlinear Schrödinger Equation on Torus

    Fangyan Yao
    2022-08-22
    295707 2717 Pages:656-668
  • A Higher-Order Ensemble/Proper Orthogonal Decomposition Method for the Nonstationary Navier-Stokes Equations

    Max Gunzburger, Nan Jiang, Michael Schneier
    2018-08-15
    32856 2472 Pages:608-627
  • An Unconditionally Stable Second Order Method for the Luo-Rudy 1 Model Used in Simulations of Defibrillation

    M. Hanslien, R. Artebrant, J. Sundnes & A. Tveito
    2009-06-01
    30436 2438 Pages:627-641
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