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  • A Bilinear Immersed Finite Volume Element Method for the Diffusion Equation with Discontinuous Coefficient

    X. -M. He, T. Lin, Y. Lin
    2009-06-01
    39087 4335 pp. 185-202
  • A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

    Fausto Cavalli, Giovanni Naldi, Gabriella Puppo, Matteo Semplice
    2018-04-11
    41868 3637 pp. 532-545
  • A Simple Kinetic Monte Carlo Approach for Epitaxial Submonolayer Growth

    Robert Deak, Zoltan Neda, Peter B. Barna
    2008-03-01
    38074 3946 pp. 822-833
  • United Filter for Jointly Estimating State and Parameters of Stochastic Dynamical Systems

    Feng Bao, Zezhong Zhang, Guannan Zhang
    2026-01-03
    DOI:10.4208/cicp.OA-2024-0009
    2002 134 pp. 747-774
  • An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems

    Yanlong Zhang, Jiming Wu
    2025-09-02
    DOI:10.4208/cicp.OA-2023-0213
    10271 593 pp. 783-809
  • An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

    Xiaoqiang Yue, Shi Shu, Xiaowen Xu, Zhiyang Zhou
    2020-07-30
    DOI:10.4208/cicp.091014.060315a
    40141 3372 pp. 1313-1335
  • A Finite Volume Scheme for Three-Dimensional Diffusion Equations

    Xiang Lai, Zhigiang Sheng, Guangwei Yuan
    2018-04-03
    DOI:10.4208/cicp.140813.230215a
    39495 3140 pp. 650-672
  • $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

    Michael Junk, Zhaoxia Yang
    2018-04-02
    DOI:10.4208/cicp.2014.m369
    41285 3373 pp. 1225-1245
  • Three-Point Combined Compact Alternating Direction Implicit Difference Schemes for Two-Dimensional Time-Fractional Advection-Diffusion Equations

    Guang-Hua Gao, Hai-Wei Sun
    2020-07-30
    DOI:10.4208/cicp.180314.010914a
    40454 3089 pp. 487-509
  • Full Wave Simulations of Lower Hybrid Waves in Toroidal Geometry with Non-Maxwellian Electrons

    J. C. Wright, E. J. Valeo, C. K. Phillips, P. T. Bonoli, M. Brambilla
    2008-09-05
    38994 4030 pp. 545-555
  • A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows

    B. Manach-Pérennou, R. Chauvin, S. Guisset, J.-P. Perlat
    2025-07-11
    DOI:10.4208/cicp.OA-2024-0080
    5415 686 pp. 1-36
  • High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

    Guanlan Huang, Sebastiano Boscarino, Tao Xiong
    2024-06-14
    DOI:10.4208/cicp.OA-2023-0274
    35802 1899 pp. 1229-1262
  • A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

    Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou
    2024-06-14
    DOI:10.4208/cicp.OA-2022-0315
    36826 1981 pp. 1155-1193
  • Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media

    Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang
    2023-12-11
    DOI:10.4208/cicp.OA-2022-0187
    34704 2699 pp. 1215-1246
  • Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

    Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He
    2023-03-13
    DOI:10.4208/cicp.OA-2022-0081
    41322 3496 pp. 425-451
  • Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

    Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan
    2022-05-06
    DOI:10.4208/cicp.OA-2021-0197
    45192 3299 pp. 1489-1524
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    DOI:10.4208/cicp.OA-2021-0011
    47693 3240 pp. 1185-1215
  • DL-PDE: Deep-Learning Based Data-Driven Discovery of Partial Differential Equations from Discrete and Noisy Data

    Hao Xu, Haibin Chang, Dongxiao Zhang
    2021-01-13
    DOI:10.4208/cicp.OA-2020-0142
    55435 3561 pp. 698-728
  • A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

    Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong
    2019-07-02
    DOI:10.4208/cicp.OA-2018-0252
    45004 3208 pp. 1118-1142
  • Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme

    Yahui Wang, Ming Xie, Yu Ma
    2019-01-10
    DOI:10.4208/cicp.OA-2017-0203
    46646 3909 pp. 1446-1468
  • A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes

    Hui Xie, Xuejun Xu, Chuanlei Zhai, Heng Yong
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0183
    45207 3589 pp. 1375-1408
  • An Admissible Asymptotic-Preserving Numerical Scheme for the Electronic $M_1$ Model in the Diffusive Limit

    Sebastien Guisset, Stephane Brull, Bruno Dubroca, Rodolphe Turpault
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0188
    45369 3639 pp. 1326-1354
  • A Uniformly Convergent Scheme for Radiative Transfer Equation in the Diffusion Limit Up to the Boundary and Interface Layers

    Hongfei Chen, Gaoyu Chen, Xiang Hong, Hao Gao, Min Tang
    2020-07-31
    DOI:10.4208/cicp.2018.hh80.06
    45052 3329 pp. 1021-1048
  • A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

    Xu Guo, Yutian Li, Hong Wang
    2018-09-17
    DOI:10.4208/cicp.OA-2018-0001
    47146 3347 pp. 531-556
  • Coarse-Grained Molecular Dynamics Simulation of DPPC Lipid Bilayers: Size Effect on Structural and Dynamic Properties

    Bei Li
    2018-08-21
    DOI:10.4208/cicp.OA-2017-0056
    46684 3661 pp. 1476-1487
  • Liquid Fuel Evaporation under Supercritical Conditions

    Guowei Xiao, Kai Hong Luo, Xiao Ma, Shijin Shuai
    2020-07-31
    DOI:10.4208/cicp.OA-2016-0252
    49520 3258 pp. 1241-1262
  • Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations: A Second-Order Scheme

    Yonggui Yan, Zhi-Zhong Sun, Jiwei Zhang
    2017-10-02
    DOI:10.4208/cicp.OA-2017-0019
    44560 3499 pp. 1028-1048
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