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  • The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

    Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura
    2023-04-28
    DOI:10.4208/cicp.OA-2022-0204
    32790 3266 pp. 733-763 Open Access
  • Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions

    Xiaoqiang Yue, Jianmeng He, Xiaowen Xu, Shi Shu, Libo Wang
    2022-09-29
    DOI:10.4208/cicp.OA-2021-0223
    41791 3334 pp. 829-849
  • A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics

    R. Chauvin, S. Guisset, B. Manach-Perennou, L. Martaud
    2021-12-06
    DOI:10.4208/cicp.OA-2021-0059
    48432 4448 pp. 293-330
  • An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

    Shuai Su, Huazhong Tang, Jiming Wu
    2021-05-25
    DOI:10.4208/cicp.OA-2020-0088
    48871 3170 pp. 448-485
  • Continuous Data Assimilation with a Moving Cluster of Data Points for a Reaction Diffusion Equation: A Computational Study

    Adam Larios, Collin Victor
    2021-02-25
    DOI:10.4208/cicp.OA-2018-0315
    43797 3207 pp. 1273-1298
  • Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations

    Xiaoqiang Yue, Shulei Zhang, Xiaowen Xu, Shi Shu, Weidong Shi
    2021-01-13
    DOI:10.4208/cicp.OA-2020-0030
    46018 3278 pp. 831-852
  • A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

    Qiannan Dong, Shuai Su, Jiming Wu
    2020-05-06
    DOI:10.4208/cicp.OA-2018-0292
    50302 3700 pp. 1378-1412
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    DOI:10.4208/cicp.2019.js60.10
    50877 3663 pp. 1335-1364
  • A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media

    Ji Lin, Sergiy Reutskiy, C. S. Chen, Jun Lu
    2019-02-25
    DOI:10.4208/cicp.OA-2018-0005
    47446 5581 pp. 233-264
  • Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications

    Hannes Uecker
    2018-11-09
    DOI:10.4208/cicp.OA-2017-0181
    48482 3496 pp. 812-852
  • Defect Formation Mechanisms and Point Defect Concentrations in the Anion Sublattice of Uranium Dioxide: Molecular Dynamics Study

    M. A. Kovalenko, A. Ya. Kupryazhkin, Sanjeev K. Gupta
    2018-10-11
    DOI:10.4208/cicp.OA-2017-0190
    44784 3542 pp. 461-480
  • A Monotone Finite Volume Scheme with Second Order Accuracy for Convection-Diffusion Equations on Deformed Meshes.

    Bin Lan, Zhiqiang Sheng, Guangwei Yuan
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0127
    45167 3720 pp. 1455-1476
  • A Posteriori Error Estimates of Discontinuous Streamline Diffusion Methods for Transport Equations

    Juan Sun, Zhaojie Zhou, Huipo Liu
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0120
    44697 3636 pp. 1355-1374
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen, Jie Xu
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0209
    48242 4846 pp. 635-654 Open Access
  • Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations

    Bradley E. Treeby, Elliott S. Wise, B. T. Cox
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0192
    46850 3342 pp. 623-634
  • Using Orthorhombic Lattice Boltzmann Model to Research the Liquid Transport in Gas Diffusion Layer with Different Micro Porous Layer Coated

    Peng Xu, Sichuan Xu, Yuan Gao
    2020-07-31
    DOI:10.4208/cicp.OA-2016-0231
    49795 3239 pp. 1078-1093
  • Numerical Evidence of Sinai Diffusion of Random-Mass Dirac Particles

    Silvia Palpacelli, Sauro Succi
    2020-07-31
    DOI:10.4208/cicp.OA-2016-0239
    48915 3213 pp. 899-909
  • Substructuring Preconditioners with a Simple Coarse Space for 2-D 3-T Radiation Diffusion Equations

    Xiaoqiang Yue, Shi Shu, Junxian Wang, Zhiyang Zhou
    2018-08-21
    DOI:10.4208/cicp.OA-2017-0065
    46812 3331 pp. 540-560
  • An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits

    Wenjun Sun, Song Jiang, Kun Xu
    2017-10-02
    DOI:10.4208/cicp.OA-2016-0261
    43710 3344 pp. 889-912
  • Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes

    Xiang Lai, Zhiqiang Sheng, Guangwei Yuan
    2018-04-08
    DOI:10.4208/cicp.220415.090516a
    41290 4659 pp. 162-181
  • Towards a Unified Macroscopic Description of Exciton Diffusion in Organic Semiconductors

    Jingrun Chen, Jason D. A. Lin, Thuc-Quyen Nguyen
    2018-04-04
    DOI:10.4208/cicp.050615.010216a
    41117 3317 pp. 754-772
  • A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

    Pascal Jacq, Pierre-Henri Maire, Remi Abgrall
    2014-10-08
    DOI:10.4208/cicp.310513.170314a
    42512 4200 pp. 841-891
  • Lattice Boltzmann Modeling of Advection-Diffusion-Reaction Equations: Pattern Formation Under Uniform Differential Advection

    S. G. Ayodele, D. Raabe, F. Varnik
    2020-07-31
    DOI:10.4208/cicp.441011.270112s
    41335 4482 pp. 741-756
  • Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

    Shuangzhang Tu, Gordon W. Skelton, Qing Pang
    2012-11-01
    DOI:10.4208/cicp.050810.090611a
    38737 4070 pp. 1503-1524
  • The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

    Hailiang Liu, Jue Yan
    2010-08-01
    DOI:10.4208/cicp.010909.011209a
    45067 4562 pp. 541-564
  • Coarsening Kinetics of a Two Phase Mixture with Highly Disparate Diffusion Mobility

    G. Sheng, T. Wang, Q. Du, K. G. Wang, Z. K. Liu, L. Q. Chen
    2010-08-01
    DOI:10.4208/cicp.160709.041109a
    41143 4353 pp. 249-264
  • A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

    Kaixin Wang, Hong Wang, Mohamed Al-Lawatia, Hongxing Rui
    2009-06-01
    205 160 pp. 203-230
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