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  • Schemes and Estimates for the Long-Time Numerical Solution of Maxwell's Equations for Lorentz Metamaterials

    Jichun Li, Simon Shaw
    2015-12-01
    34073 2718 pp. 343-365
  • $hp$-Version Analysis for Arbitrarily Shaped Elements on the Boundary Discontinuous Galerkin Method for Stokes Systems

    Efthymios N. Karatzas
    2024-06-24
    DOI:10.4208/ijnam2024-1021
    19030 1474 pp. 528-559
  • Numerical Analysis of High Order Time Stepping Schemes for a Predator-Prey System

    Konstantinos Chrysafinos, Dimitrios Kostas
    2022-09-27
    40837 2803 pp. 404-423
  • Analysis of a Fully Discrete Finite Element Method for the Maxwell–Schrödinger System in the Coulomb Gauge

    Chupeng Ma, Liqun Cao, Jizu Huang
    2018-10-19
    34741 4017 pp. 139-166
  • An Optimal-Order Error Estimate to the Modified Method of Characteristics for a Degenerate Convection-Diffusion Equation

    Kaixin Wang, Hong Wang
    2009-06-01
    30481 2595 pp. 217-231
  • Error Bounds on Semi-Discrete Finite Element Approximation of a Moving-Boundary System Arising in Concrete Corrosion

    Adrian Muntean
    2008-05-01
    31654 3451 pp. 353-372
  • Numerical Methods for the Extended Fisher-Kolmogorov (EFK) Equation

    Palla Danumjaya, Amiya Kumar Pani
    2006-03-01
    30256 2717 pp. 186-210
  • A Priori Error Analysis of the Local Discontinuous Galerkin Method for the Viscous Burgers-Poisson System

    Nattapol Ploymaklam, Pratik M. Kumbhar, Amiya K. Pani
    2018-09-18
    33035 2653 pp. 784-807
  • An a Priori Error Analysis of a Problem Involving Mixtures of Continua with Gradient Enrichment

    Noelia Bazarra, José R. Fernández, Antonio Magaña, Marc Magaña, Ramόn Quintanilla
    2024-04-07
    DOI:10.4208/ijnam2024-1006
    20792 1760 pp. 165-180
  • Weak Galerkin Finite Element Methods for Parabolic Problems with $L^2$ Initial Data

    Naresh Kumar, Bhupen Deka
    2023-01-14
    DOI:10.4208/ijnam2023-1009
    28430 2553 pp. 199-228
  • An Arbitrary-Order Ultra-Weak Discontinuous Galerkin Method for Two-Dimensional Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2022-09-27
    37236 2685 pp. 864-886
  • Stability Analysis and Error Estimates of Local Discontinuous Galerkin Method for Convection-Diffusion Equations on Overlapping Mesh with Non-Periodic Boundary Conditions

    Nattaporn Chuenjarern, Kanognudge Wuttanachamsri, Yang Yang
    2021-11-05
    43106 2635 pp. 788-810
  • An Optimal Uniform a Priori Error Estimate for an Unsteady Singularly Perturbed Problem

    M. Vlasak, H.-G. Roos
    2021-10-20
    33950 3920 pp. 24-33
  • Error Estimates of the Crank-Nicolson Scheme for Solving Backward Stochastic Differential Equations

    Weidong Zhao, Yang Li, Lili Ju
    2013-10-01
    33259 2660 pp. 876-898
  • Analysis of Any-Order Runge-Kutta Spectral Volume Schemes for 1D Hyperbolic Equations

    Ping Wei, Qingsong Zou
    2025-12-28
    DOI:10.4208/ijnam2026-1009
    1113 147 pp. 184-222
  • Hybridizable Discontinuous Galerkin Method for Linear Hyperbolic Integro-Differential Equations

    Riya Jain, Sangita Yadav
    2025-02-20
    DOI:10.4208/ijnam2025-1010
    8906 663 pp. 202-225
  • Reliable and Efficient a Posteriori Error Estimates of DG Methods for a Simplified Frictional Contact Problem

    Fei Wang, Weimin Han
    2018-10-19
    34611 4170 pp. 49-62
  • Error Analysis of a Finite Difference Scheme for the Epitaxial Thin Film Model with Slope Selection with an Improved Convergence Constant

    Zhonghua Qiao, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2016-05-08
    32240 2733 pp. 283-305
  • Error Analysis of Linearized Semi-Implicit Galerkin Finite Element Methods for Nonlinear Parabolic Equations

    Buyang Li, Weiwei Sun
    2013-10-01
    34735 2780 pp. 622-633
  • Hierarchical a Posteriori Residual Based Error Estimators for Bilinear Finite Elements

    Malte Braack, Nico Taschenberger
    2013-10-01
    32210 2626 pp. 466-480
  • Error Estimates of Morley Triangular Element Satisfying the Maximal Angle Condition

    S. Mao, S. Nicaise, Z.-C. Shi
    2010-07-01
    31381 2563 pp. 639-655
  • A Residual a Posteriori Error Estimator for Elasto-Viscoplasticity

    J. R. Fernández, P. Hild
    2009-06-01
    30242 2542 pp. 603-614
  • Adaptive Finite Element Methods for Parameter Estimation Problems in Linear Elasticity

    Tao Feng, Marten Gulliksson, Wenbin Liu
    2009-06-01
    31688 3727 pp. 17-32
  • Physics-Based Multi-Time Stepping Algorithm for Three-Dimensional Quasi-Static Electroporoelasticity Equations

    Xuan Liu, Yongkui Zou, Amnon Jacob Meir
    2025-12-28
    DOI:10.4208/ijnam2026-1011
    1132 188 pp. 252-274
  • A Fully Discrete Ultra-Weak Discontinuous Galerkin Method for Solving the Drift-Diffusion Model of Semiconductor Devices

    Xinyu Ding, Fuzheng Gao, Yunxian Liu
    2025-12-28
    DOI:10.4208/ijnam2026-1010
    1133 146 pp. 223-251
  • Stochastic Spline-Collocation Method for Constrained Optimal Control Problem Governed by Random Elliptic PDE

    Benxue Gong, Liang Ge, Tongjun Sun, Wanfang Shen, W. B. Liu
    2018-09-18
    32445 2582 pp. 627-645
  • Stability and Superconvergence of a Special $Q_1$-Finite Volume Element Scheme over Quadrilateral Meshes

    Yanhui Zhou
    2025-04-29
    DOI:10.4208/ijnam2025-1024
    7115 552 pp. 556-584
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