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  • 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
    13994 1116 Pages:793-821
  • A Multigrid-Based Fourth Order Finite Difference Method for Elliptic Interface Problems with Variable Coefficients

    Yiming Ren, Shan Zhao
    2025-08-04
    6234 508 Pages:860-896
  • A Time Second-Order Characteristic Finite Element Method for Nonlinear Advection-Diffusion Equations

    Baohui Hou, Dong Liang
    2019-02-22
    36116 2732 Pages:276-296
  • A Fractional-Order Alternative for Phase-Lagging Equation

    Cui-Cui Ji, Weizhong Dai, Ronald E. Mickens
    2023-03-30
    29377 2467 Pages:391-406
  • Regularized Reduced Order Models for a Stochastic Burgers Equation

    T. Iliescu, Honghu Liu, Xuping Xie
    2018-08-15
    32811 2461 Pages:594-607
  • The Arakawa Jacobian Method and a Fourth-Order Essentially Nonoscillatory Scheme for the Beta-Plane Barotropic Equations

    A. Kacimi, T. Aliziane & B. Khouider
    2013-10-01
    33964 2676 Pages:571-587
  • A Posteriori Error Estimates for Mixed Finite Element Galerkin Approximations to Second Order Linear Hyperbolic Equations

    Samir Karaa & Amiya K. Pani
    2018-09-18
    32113 2572 Pages:571-590
  • Numerical Analysis of Augmented FVM for Nonlinear Time Fractional Degenerate Parabolic Equation

    Muhammad Aamir Ali, Zhiyue Zhang, Jianqiang Xie
    2025-03-14
    8281 800 Pages:340-360
  • A Posteriori Error Analysis for an Ultra-Weak Discontinuous Galerkin Approximations of Nonlinear Second-Order Two-Point Boundary-Value Problems

    Mahboub Baccouch
    2023-09-19
    24521 2122 Pages:618-646
  • Unconditional Energy Stability and Solvability for a C0 Interior Penalty Method for a Sixth-Order Equation Modeling Microemulsions

    Amanda E. Diegel, Natasha S. Sharma
    2023-05-22
    29506 2537 Pages:459-477
  • The Time High-Order Energy-Preserving Schemes for the Nonlocal Benjamin-Ono Equation

    Chunguang Chen, Dong Liang, Shusen Xie
    2020-08-04
    32137 2660 Pages:543-556
  • Construction and Analysis of Weighted Sequential Splitting FDTD Methods for the 3D Maxwell's Equations

    Vrushali A. Bokil, Puttha Sakkaplangkul
    2018-08-15
    32453 2571 Pages:747-784
  • 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
    32116 2554 Pages:405-427
  • High Order Galerkin Methods with Graded Meshes for Two-Dimensional Reaction-Diffusion Problems

    Z.-W. Li, B. Wu & Y.-S. Xu
    2016-05-03
    31918 2600 Pages:319-343
  • An Almost Fourth Order Parameter-Robust Numerical Method for a Linear System of ($M\geq2$) Coupled Singularly Perturbed Reaction-Diffusion Problems

    S. C. S. Rao, M. Kumar
    2013-10-01
    143 66 Pages:603-621
  • 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
    32250 2638 Pages:324-352
  • A Local Computational Scheme for Higher Order Finite Element Eigenvalue Approximations

    Xiaoying Dai, Lihua Shen, Aihui Zhou
    2008-05-01
    32685 3389 Pages:570-589
  • Reduced-Order Modeling of Burgers Equations Based on Centroidal Voronoi Tessellation

    Hyung-Chun Lee, Sung-Whan Lee, Guang-Ri Piao
    2021-11-09
    31326 2397 Pages:559-583
  • A Conforming DG Method for the Biharmonic Equation on Polytopal Meshes

    Xiu Ye, Shangyou Zhang
    2023-11-13
    22030 1990 Pages:855-869
  • A Posteriori Error Estimates for a Local Discontinuous Galerkin Approximation of Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2023-11-13
    22384 2014 Pages:772-804
  • An Arbitrary-Order Ultra-Weak Discontinuous Galerkin Method for Two-Dimensional Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2022-09-27
    37135 2651 Pages:864-886
  • A Second-Order Embedded Low-Regularity Integrator for the Quadratic Nonlinear Schrödinger Equation on Torus

    Fangyan Yao
    2022-08-22
    295778 2732 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
    32940 2493 Pages:608-627
  • Optimal Order Convergence Implies Numerical Smoothness II: The Pullback Polynomial Case

    So-Hsiang Chou, Tong Sun
    2018-08-15
    32850 2659 Pages:392-404
  • Positivity-Preserving High-Order Schemes for Conservation Laws on Arbitrarily Distributed Point Clouds with a Simple WENO Limiter

    Jie Du, Chi-Wang Shu
    2018-08-14
    43506 4073 Pages:1-25
  • An Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for the Second-Order Wave Equation in One Space Dimension

    Mahboub Baccouch
    2017-06-01
    32494 2722 Pages:355-380
  • 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
    34272 2637 Pages:211-229
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