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International Journal of Numerical Analysis and Modeling
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  • An Optimal-Order Error Estimate to the Modified Method of Characteristics for a Degenerate Convection-Diffusion Equation

    K. Wang & H. Wang
    2009-06-01
    30345 2548 Pages:217-231
  • High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions

    Champike Attanayake, So-Hsiang Chou, Quanling Deng
    2023-11-13
    22346 1965 Pages:870-895
  • 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
    22256 1917 Pages:805-831
  • FEM-Analysis on Graded Meshes for Turning Point Problems Exhibiting an Interior Layer

    Simon Becher
    2018-11-22
    33548 2685 Pages:499-518
  • A Second-Order Crank-Nicolson Method for Time-Fractional PDEs

    Max Gunzburger, Jilu Wang
    2019-02-22
    37766 2809 Pages:225-239
  • Weak Galerkin Finite Element Method for Second Order Parabolic Equations

    H.-Q. Zhang, Y.-K. Zou, Y.-X. Xu, Q.-L. Zhai & H. Yue
    2016-07-03
    32376 2720 Pages:525-544
  • $N$-Simplex Crouzeix-Raviart Element for the Second Order Elliptic/Eigenvalue Problems

    Y. Yang, F. Lin & Z. Zhang
    2009-06-01
    30601 2543 Pages:615-626
  • A Stabilizer-Free Weak Galerkin Finite Element Method for the Darcy-Stokes Equations

    Kai He, Junjie Chen, Li Zhang, Maohua Ran
    2024-06-24
    20112 1418 Pages:459-475
  • Weak Galerkin Finite Element Methods for Parabolic Problems with $L^2$ Initial Data

    Naresh Kumar, Bhupen Deka
    2023-01-14
    28209 2492 Pages:199-228
  • ​An Iterative Approach for Constructing Immersed Finite Element Spaces and Applications to Interface Problems

    Cheng Wang, Pengtao Sun, Zhilin Li
    2019-02-22
    36797 2721 Pages:167-191
  • Convergence Analyses of Crank-Nicolson Orthogonal Spline Collocation Methods for Linear Parabolic Problems in Two Space Variables

    M. Khebchareon, A. K. Pani & G. Fairweather
    2018-08-15
    33152 4010 Pages:58-72
  • Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics

    D. Shi & Z. Yu
    2013-10-01
    32777 2560 Pages:904-919
  • A Uniformly Optimal-Order Estimate for Bilinear Finite Element Method for Transient Advection-Diffusion Equations

    Q. Lin, K. Wang, H. Wang & X. Yin
    2012-09-01
    33342 3759 Pages:73-85
  • On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

    R. Sandilya & S. Kumar
    2016-07-03
    32347 2701 Pages:545-568
  • Fast Optimal $\mathcal{H}_2$ Model Reduction Algorithms Based on Grassmann Manifold Optimization

    Y. Xu & T. Zeng
    2013-10-01
    99 35 Pages:972-991
  • Convergence Analysis of Nitsche Extended Finite Element Methods for H(Curl)-Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2022-06-22
    38024 2636 Pages:487-510
  • Theoretical and Numerical Studies on Global Stability of Traveling Waves with Oscillations for Time-Delayed Nonlocal Dispersion Equations

    Tianyuan Xu, Shanming Ji, Rui Huang, Ming Mei, Jingxue Yin
    2021-02-04
    34704 3680 Pages:68-86
  • Higher Degree Immersed Finite Element Methods for Second-Order Elliptic Interface Problems

    S. Adjerid, M. Ben-Romdhane & T. Lin
    2014-11-01
    32891 2611 Pages:541-566
  • Convergence of High Order Methods for Miscible Displacement

    Y. Epshteyn, B. Rivière
    2018-07-09
    31949 2565 Pages:47-63
  • 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
    30873 2357 Pages:402-424
  • Convergence and Stability of Explicit/Implicit Schemes for Parabolic Equations with Discontinuous Coefficients

    Shaohong Zhu, Guangwei Yuan, Weiwei Sun
    2004-01-01
    30506 2555 Pages:131-146
  • Optimal Error Estimates of the Local Discontinuous Galerkin Method for the Two-Dimensional Sine-Gordon Equation on Cartesian Grids

    Mahboub Baccouch
    2018-11-22
    33245 2749 Pages:436-462
  • An Interior Penalty Discontinuous Galerkin Method for a Class of Monotone Quasilinear Elliptic Problems

    Peter W. Fick
    2015-12-01
    33099 2577 Pages:750-777
  • Nonconforming Mixed Finite Element Method for the Stationary Conduction-Convection Problem

    D. Shi & J. Ren
    2009-06-01
    30787 2634 Pages:293-310
  • A Finite Element Method for the One-Dimensional Prescribed Curvature Problem

    Susanne C. Brenner, Li-Yeng Sung, Zhuo Wang & Yuesheng Xu
    2018-09-18
    32376 2552 Pages:646-669
  • Numerical Analysis of a Mixed Finite Element Approximation of a Coupled System Modeling Biofilm Growth in Porous Media with Simulations

    Azhar Alhammali, Malgorzata Peszynska, Choah Shin
    2024-01-03
    26252 2390 Pages:20-64
  • Energy Stable Time Domain Finite Element Methods for Nonlinear Models in Optics and Photonics

    Asad Anees, Lutz Angermann
    2022-06-22
    37358 2596 Pages:511-541
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