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  • An Optimal-Order Error Estimate for a Finite Difference Method to Transient Degenerate Advection-Diffusion Equations

    Tongchao Lu, Jinhong Jia
    2012-09-01
    32901 3859 pp. 56-72
  • Second Order Uniform Approximations for the Solution of Time Dependent Singularly Perturbed Reaction-Diffusion Systems

    Carmelo Clavero, Jose Luis Gracia, Francisco Lisbona
    2010-07-01
    32981 2571 pp. 428-443
  • Finite Volume Element Method for Second Order Hyperbolic Equations

    Sarvesh Kumar, Neela Nataraj, Amiya K. Pani
    2008-05-01
    32685 3942 pp. 132-151
  • Incremental Unknowns and Graph Techniques with In-Depth Refinement

    Salvador Garcia, Florentina Tone
    2007-04-01
    29557 2558 pp. 143-177
  • Symmetric Interior Penalty DG Methods for the Compressible Navier-Stokes Equations I: Method Formulation

    Ralf Hartmann, Paul Houston
    2006-03-01
    30954 4201 pp. 1-20
  • An $H^1$-Galerkin Mixed Method for Second Order Hyperbolic Equations

    A. K. Pani, R. K. Sinha, A. K. Otta
    2004-01-01
    29901 2554 pp. 111-130
  • Analysis of Harmonic Average Method for Interface Problems with Discontinuous Solutions and Fluxes

    Kejia Pan, Hengrui Xu, Zhilin Li
    2026-03-11
    DOI:10.4208/ijnam2026-1016
    279 59 pp. 390–407
  • 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
  • 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
    DOI:10.4208/ijnam2026-1002
    5812 460 pp. 24-62
  • An Augmented IIM & Preconditioning Technique for Jump Embedded Boundary Conditions

    Philippe Angot, Zhilin Li
    2018-09-18
    32507 2619 pp. 712-729
  • Modified BDF2 Schemes for Subdiffusion Models with a Singular Source Term

    Minghua Chen, Jiankang Shi, Zhi Zhou
    2025-08-04
    DOI:10.4208/ijnam2025-1039
    6276 555 pp. 897-924
  • Optimized First-Order Taylor-Like Formulas and Gauss Quadrature Errors

    Joël Chaskalovic, Franck Assous
    2025-08-04
    DOI:10.4208/ijnam2025-1036
    6316 557 pp. 824-842
  • A Conforming Discontinuous Galerkin Finite Element Method for Second-Order Parabolic Equation

    Fuchang Huo, Yuchen Sun, Jiageng Wu, Liyuan Zhang
    2025-03-14
    DOI:10.4208/ijnam2025-1019
    8235 737 pp. 432-458
  • 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
  • A Linearized, Decoupled and Unconditionally Stable BDF2 FEM for the Active Fluid Model

    Yuxing Zhang, Bo Wang
    2024-11-22
    DOI:10.4208/ijnam2025-1003
    13716 1381 pp. 40-70
  • A High Order Unfitted Finite Element Method for Time-Harmonic Maxwell Interface Problems

    Zhiming Chen, Ke Li, Maohui Lyu, Xueshaung Xiang
    2024-10-09
    DOI:10.4208/ijnam2024-1033
    14053 1208 pp. 822-849
  • Fast Numerical Solvers for Subdiffusion Problems with Spatial Interfaces

    Boyang Yu, Yonghai Li, Jiangguo Liu
    2024-05-20
    DOI:10.4208/ijnam2024-1017
    20018 1586 pp. 431-458
  • A Hybrid Stress Finite Element Method for Integro-Differential Equations Modelling Dynamic Fractional Order Viscoelasticity

    Menghan Liu, Xiaoping Xie
    2024-04-07
    DOI:10.4208/ijnam2024-1009
    20743 1802 pp. 221-243
  • High-Order Enriched Finite Element Methods for Elliptic Interface Problems with Discontinuous Solutions

    Champike Attanayake, So-Hsiang Chou, Quanling Deng
    2023-11-13
    DOI:10.4208/ijnam2023-1038
    22554 2029 pp. 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
    DOI:10.4208/ijnam2023-1035
    22462 1987 pp. 805-831
  • Fractional Order Learning Methods for Nonlinear System Identification Based on Fuzzy Neural Network

    Jie Ding, Sen Xu, Zhijie Li
    2023-09-19
    DOI:10.4208/ijnam2023-1031
    24617 2157 pp. 709-723
  • A New Weak Galerkin Method with Weakly Enforced Dirichlet Boundary Condition

    Dan Li, Yiqiang Li, Zhanbin Yuan
    2023-09-19
    DOI:10.4208/ijnam2023-1028
    25953 2210 pp. 647-666
  • Monolithic and Partitioned Finite Element Schemes for FSI Based on an ALE Divergence-Free HDG Fluid Solver and a TDNNS Structural Solver

    Guosheng Fu
    2023-01-14
    DOI:10.4208/ijnam2023-1011
    28416 2678 pp. 267-312
  • Boundary Element Method with High Order Impedance Boundary Conditions in Electromagnetics

    Christian Daveau, Abil Aubkirov, Paul Soudais
    2022-06-22
    37132 2708 pp. 458-486
  • Reduced Basis Finite Element Methods for the Korteweg-de Vries-Burgers Equation

    Guang-Ri Piao, Fuxia Yao, Wenju Zhao
    2022-09-27
    40736 2953 pp. 369-385
  • Approximate Solution of a Nonlinear Fractional-Order HIV Model Using Homotopy Analysis Method

     Parvaiz Ahmad Naik, Mohammad Ghoreishi, Jian Zu
    2022-03-22
    30312 3071 pp. 52-84
  • Splitting Schemes for Some Second-Order Evolutionary Equations​

    Petr N. Vabishchevich
    2022-03-22
    30485 3016 pp. 19-32
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