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  • Weak Galerkin Finite Element Methods on Polytopal Meshes

    Lin Mu, Junping Wang, Xiu Ye
    2015-12-01
    34511 4694 pp. 31-53
  • Maxwell Solutions in Media with Multiple Random Interfaces

    C.-Y. Jung, B. Kwon, A. Mahalov, T. B. Nguyen
    2021-10-20
    34212 3965 pp. 193-212
  • A Nodal Sparse Grid Spectral Element Method for Multi-Dimensional Elliptic Partial Differential Equations

    Zhijian Rong, Jie Shen, Haijun Yu
    2018-09-18
    32115 2630 pp. 762-783
  • 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
  • An Unconditionally Stable Numerical Scheme for a Competition System Involving Diffusion Terms

    Seth Armstrong, Jianlong Han
    2020-02-03
    34486 2612 pp. 212-235
  • Convergence of Discontinuous Finite Volume Discretizations for a Semilinear Hyperbolic Optimal Control Problem

    Ruchi Sandilya, Sarvesh Kumar
    2016-11-08
    32481 2872 pp. 926-950
  • On Discontinuous Finite Volume Approximations for Semilinear Parabolic Optimal Control Problems

    Ruchi Sandilya, Sarvesh Kumar
    2016-07-03
    32526 2756 pp. 545-568
  • An Efficient and Effective Nonlinear Solver in a Parallel Software for Large Scale Petroleum Reservoir Simulation

    Jianwen Cao, Jiachang Sun
    2005-11-03
    30291 2467 pp. 15-27
  • A Spectral Method for Mixed Boundary Value Problems on Hexahedrons

    Ben-Yu Guo, Tian-Jun Wang
    2015-12-01
    33365 2661 pp. 664-683
  • Pure Lagrangian and Semi-Lagrangian Finite Element Methods for the Numerical Solution of Convection-Diffusion Problems

    Marta Benitez, Alfredo Bermudez
    2021-10-20
    34755 2680 pp. 271-287
  • Analysis and Finite Element Approximation of Bioconvection Flows with Concentration Dependent Viscosity

    Yanzhao Cao, Song Chen
    2021-10-20
    34048 3798 pp. 86-101
  • Discretization Methods for Semilinear Parabolic Optimal Control Problems

    Ion Chryssoverghi
    2006-03-01
    30460 2495 pp. 437-458
  • Nematic Liquids in Weak Capillary Poiseuille Flow: Structure Scaling Laws and Effective Conductivity Implications

    Hong Zhou, M. Gregory Forest
    2021-11-09
    30688 2402 pp. 460-477
  • 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 Analysis of the Fractional Seventh-Order KdV Equation Using an Implicit Fully Discrete Local Discontinuous Galerkin Method

    L. Wei, Y. He, Y. Zhang
    2013-10-01
    32688 2627 pp. 430-444
  • Numerical Approximation of Option Pricing Model Under Jump Diffusion Using the Laplace Transformation Method

    Hyoseop Lee, Dongwoo Sheen
    2011-08-01
    31536 2729 pp. 566-583
  • An Error Estimate for MMOC-MFEM Based on Convolution for Porous Media Flow

    Aijie Cheng, Yongqiang Ren, Kaihua Xi
    2012-09-01
    33070 3934 pp. 149-168
  • Second Order Parameter-Uniform Convergence for a Finite Difference Method for a Singularly Perturbed Linear Parabolic System

    V. Franklin, M. Paramasivam, J. J. H. Miller, S. Valarmathi
    2018-08-15
    35781 4186 pp. 178-202
  • A Posteriori Error Estimates of $hp$-FEM for Optimal Control Problems

    W. Gong, W. Liu & N. Yan
    2018-08-15
    32563 3656 pp. 48-69
  • An Asymptotic Expansion-Based Deep Neural Network for Solving Singularly Perturbed Problems with Exponential Boundary Layers

    Shuiqian Xu, Jiangxing Wang, Yiduo Zhang, Xiaofeng Yang
    2025-12-28
    DOI:10.4208/ijnam2026-1008
    1223 225 pp. 163-183
  • Anisotropic Mesh Adaptation Method Based on Anisotropic Bubble-Type Local Mesh Generation

    Wei Guo, Yufeng Nie, Weiwei Zhang
    2019-08-09
    34209 2629 pp. 745-766
  • Fourier Convergence Analysis for Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion and Nonlinear Time Fractional Diffusion Equation

    Maoping Wang, Weihua Deng
    2025-02-20
    DOI:10.4208/ijnam2025-1013
    8838 655 pp. 268-306
  • A Difference Virtual Element Method for the 3D Elliptic Equation with the Variable Coefficient on General Cylindrical Domains

    Lulu Li, Yinnian He, Xinlong Feng
    2024-11-22
    DOI:10.4208/ijnam2025-1005
    12851 1372 pp. 96-112
  • A Note on Optimal Spectral Bounds for Nonoverlapping Domain Decomposition Preconditioners for $hp$-Version Discontinuous Galerkin Methods

    P. F. Antonietti, P. Houston & I. Smears
    2016-07-03
    32131 2745 pp. 513-524
  • Deep Surrogate Model for Learning Green’s Function Associated with Linear Reaction-Diffusion Operator

    Junqing Jia, Lili Ju, Xiaoping Zhang
    2024-10-08
    DOI:10.4208/ijnam2024-1028
    13115 1118 pp. 697-715
  • 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
  • Modeling and Simulation of the Atmospheric Dust Dynamic: Fractional Calculus and Cloud Computing

    Luis Vázquez, M. Pilar Velasco, José Luis Vázquez-Poletti, Ignacio M. Llorente, David Usero, Salvador Jiménez
    2018-08-14
    34256 3929 pp. 74-85
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