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  • A Difference Finite Element Method for Convection-Diffusion Equations in Cylindrical Domains

    Chenhong Shi, Yinnian He, Dongwoo Sheen, Xinlong Feng
    2024-05-20
    DOI:10.4208/ijnam2024-1016
    20644 1592 pp. 407-430
  • A Posteriori Error Estimates for Darcy-Forchheimer’s Problem Coupled with the Convection-Diffusion-Reaction Equation

    Faouzi Triki, Toni Sayah, Georges Semaan
    2024-01-03
    DOI:10.4208/ijnam2024-1003
    26409 2396 pp. 65-103
  • Nonlocal-in-Time Dynamics and Crossover of Diffusive Regimes

    Qiang Du, Zhi Zhou
    2023-03-30
    DOI:10.4208/ijnam2023-1014
    30399 2703 pp. 353-370
  • A Computational Study of Preconditioning Techniques for the Stochastic Diffusion Equation with Lognormal Coefficient

    Eugenio Aulisa, Giacomo Capodaglio, Guoyi Ke
    2022-09-27
    41693 2992 pp. 220-236
  • 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 $hp$ Finite Element Method for a Singularly Perturbed Reaction-Convection-Diffusion Boundary Value Problem with Two Small Parameters

    ​Irene Sykopetritou, Christos Xenophontos
    2021-05-25
    40241 2716 pp. 481-499
  • A Compact Finite Difference Scheme for the Fourth-Order Time Multi-Term Fractional Sub-Diffusion Equations with the First Dirichlet Boundary Conditions

    Guang-Hua Gao, Rui Tang, Qian Yang
    2021-02-04
    33736 3498 pp. 100-119
  • Error Estimates in Balanced Norms of Finite Element Methods for Higher Order Reaction-Diffusion Problems

    Sebastian Franz, Hans-G. Roos
    2020-08-04
    39404 2729 pp. 532-542
  • Analysis of a Galerkin Finite Element Method Applied to a Singularly Perturbed Reaction-Diffusion Problem in Three Dimensions

    Stephen Russell, Niall Madden
    2020-05-20
    35119 2738 pp. 297-315
  • An Error Estimate of a Eulerian-Lagrangian Localized Adjoint Method for a Space-Fractional Advection Diffusion Equation

    Tingting Wang, Xiaofan Li, Hong Wang
    2020-02-03
    57872 3355 pp. 151-171
  • Orthogonal Spline Collocation for Singularly Perturbed Reaction Diffusion Problems in One Dimension

    Pankaj Mishra, Kapil K. Sharma, Amiya K. Pani, Graeme Fairweather
    2019-02-21
    35364 2811 pp. 647-667
  • An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs

    Xiao Zhang, Yangwen Zhang, John R. Singler
    2019-02-21
    34259 2679 pp. 519-542
  • Global Stability of Critical Traveling Waves with Oscillations for Time-Delayed Reaction-Diffusion Equations

    Ming Mei, Kaijun Zhang, Qifeng Zhang
    2018-11-22
    34026 2943 pp. 375-397
  • Self-Consistent Field Theory Simulations of Wormlike Chains on Cylindrical Surface

    Qin Liang, Lu Chen, Hui Zhang, Dongliang Zhang
    2019-02-22
    34979 2694 pp. 357-374
  • An Embedded SDG Method for the Convection-Diffusion Equation

    Siu Wun Cheung, Eric T. Chung
    2019-02-22
    38254 2798 pp. 255-275
  • Convexity Splitting in a Phase Field Model for Surface Diffusion

    Rainer Backofen, Steven M. Wise, Marco Salvalaglio, Axel Voigt
    2019-02-22
    39188 4384 pp. 192-209 Open Access
  • 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
  • Numerical Analysis of a Thermoelastic Diffusion Problem with Voids

    Jose R. Fernandez, Maria Masid
    2016-05-08
    31946 2672 pp. 153-174
  • Higher-Order Linearized Multistep Finite Difference Methods for Non-Fickian Delay Reaction-Diffusion Equations

    Qifeng Zhang, Ming Mei, Chengjian Zhang
    2016-01-08
    33116 4176 pp. 1-19
  • A Conservative Enforcing Positivity-Preserving Algorithm for Diffusion Scheme on General Meshes

    Fujun Cao, Yanzhong Yao, Yunlong Yu, Guangwei Yuan
    2016-09-03
    33508 2849 pp. 739-752
  • Analysis of Optimal Error Estimates and Superconvergence of the Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

    Mahboub Baccouch, Helmi Temimi
    2016-05-03
    31937 2662 pp. 403-434
  • High Order Galerkin Methods with Graded Meshes for Two-Dimensional Reaction-Diffusion Problems

    Zhiwen Li, Bin Wu, Yuesheng Xu
    2016-05-03
    32008 2637 pp. 319-343
  • On the Singularly Perturbed Semilinear Reaction-Diffusion Problem and its Numerical Solution

    Relja Vulanovic, Ljiljana Teofanov
    2018-08-15
    33447 4139 pp. 41-57
  • On a Numerical Technique to Study Difference Schemes for Singularly Perturbed Parabolic Reaction-Diffusion Equations

    G. Shishkin, L. Shishkina, J. L. Gracia, C. Clavero
    2021-10-20
    34528 2541 pp. 412-426
  • Parameter-Uniform Convergence for a Finite Difference Method for a Singularly Perturbed Linear Reaction-Diffusion System with Discontinuous Source Terms

    M. paramasivam, J. J. H. Miller, S. Valarmathi
    2021-10-20
    34245 2581 pp. 385-399
  • A Subgrid Viscosity Lagrange-Galerkin Method for Convection-Diffusion Problems

    Rodolfo Bermejo, Pedro Galan Del Sastre, Laura Saavedra
    2021-10-20
    34290 2636 pp. 288-302
  • On Convergence of the Streamline Diffusion and Discontinuous Galerkin Methods for the Multi-Dimensional Fermi Pencil Beam Equation

    Mohammad Asadzadeh, Ehsan Kazemi
    2013-10-01
    32928 2590 pp. 860-875
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