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  • 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
  • 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 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
  • Evaluation Finite Moment Log-Stable Option Pricing by a Spectral Method

    Xu Guo & Leevan Ling
    2018-09-17
    51086 2824 Pages:437-452
  • 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
  • Simulations of Shallow Water Equations by Finite Difference WENO Schemes with Multilevel Time Discretization

    Changna Lu & Gang Li
    2011-04-01
    41629 3511 Pages:505-524
  • The Direct Discontinuous Galerkin Method with Explicit-Implicit-Null Time Discretizations for Nonlinear Diffusion Equations

    Yumiao Li, Yin Yang, Tiegang Liu, Weixiong Yuan, Kui Cao
    2025-04-06
    6857 543 Pages:175-198
  • A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model

    Juan Zhang, Lixiu Dong, Zhengru Zhang
    2024-08-30
    17364 1369 Pages:777-804
  • A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

    Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie
    2024-05-11
    21342 1630 Pages:429-462
  • An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

    Haixia Dong, Wenjun Ying, Jiwei Zhang
    2023-04-10
    36171 2587 Pages:541-564
  • Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems

    Yang Zhang, Xuhong Yu, Zhongqing Wang
    2021-01-26
    44717 2552 Pages:461-487
  • The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

    Jinye Shen, Xuping Wang, Zhi-zhong Sun
    2020-03-06
    45883 4294 Pages:253-280
  • A High Order Operator Splitting Method for the Degasperis–Procesi Equation

    Yunrui Guo, Hong Zhang, Wenjing Yang, Ji Wang & Songhe Song
    2019-04-22
    43246 2679 Pages:884-905
  • 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
  • Computing Viscous Flow in an Elastic Tube

    Yi Li, Ioannis Sgouralis & Anita T. Layton
    2014-07-01
    39694 3562 Pages:555-574
  • Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

    Lijun Yi & Zhongqing Wang
    2014-07-01
    39783 3945 Pages:149-178
  • Laguerre Spectral Method for High Order Problems

    Chao Zhang, Ben-Yu Guo & Tao Sun
    2013-06-01
    38780 3730 Pages:520-537
  • The Dissipative Spectral Methods for the First Order Linear Hyperbolic Equations

    Lian Chen, Zhongqiang Zhang & Heping Ma
    2012-05-01
    39689 3482 Pages:493-508
  • 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
  • Splitting ADI Scheme for Fractional Laplacian Wave Equations

    Tao Sun, Hai-Wei Sun
    2024-08-30
    17616 1406 Pages:697-726
  • A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

    R.K. Mohanty, Li Yuan, Divya Sharma
    2021-01-26
    45196 2614 Pages:488-507
  • Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

    Jitenjaya Pradhan & Yogesh G. Bhumkar
    2019-04-22
    42622 2669 Pages:942-968
  • A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

    Bhupen Deka
    2018-09-17
    40218 2691 Pages:655-672
  • 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
  • Numerical Analysis of a Second Order Crank-Nicolson Mixed Finite Element Method for the Swift-Hohenberg Equation

    Hongling Li, Manting Xie, Meiling Yue
    2025-10-22
    3823 247 Pages:947-971
  • A Highly Efficient Adaptive Mesh Refinement Algorithm for the 1D Schrödinger-Poisson Problem

    Meili Guo, Haiyan Jiang, Tiao Lu, Wenqi Yao
    2025-10-22
    3898 252 Pages:881-902
  • L1 Schemes for Time-Fractional Differential Equations: A Brief Survey and New Development

    Jingjing Xiao, Yanping Chen, Fanhai Zeng, Zhongqiang Zhang
    2025-05-16
    7344 513 Pages:544-574
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