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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
    39083 4334 Pages:185-202
  • A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

    Fausto Cavalli, Giovanni Naldi, Gabriella Puppo, Matteo Semplice
    2018-04-11
    41866 3635 Pages:532-545
  • A Simple Kinetic Monte Carlo Approach for Epitaxial Submonolayer Growth

    Robert Deak, Zoltan Neda, Peter B. Barna
    2008-03-01
    38073 3946 Pages:822-833
  • United Filter for Jointly Estimating State and Parameters of Stochastic Dynamical Systems

    Feng Bao, Zezhong Zhang, Guannan Zhang
    2026-01-03
    1997 132 Pages: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
    10269 593 Pages:783-809
  • An Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

    Xiaoqiang Yue, Shi Shu, Xiaowen Xu, Zhiyang Zhou
    2020-07-30
    40141 3371 Pages:1313-1335
  • A Finite Volume Scheme for Three-Dimensional Diffusion Equations

    Xiang Lai, Zhigiang Sheng, Guangwei Yuan
    2018-04-03
    39494 3138 Pages:650-672
  • $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

    Michael Junk, Zhaoxia Yang
    2018-04-02
    41285 3371 Pages: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
    40453 3088 Pages: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
    38993 4030 Pages: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
    5414 686 Pages: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
    35800 1898 Pages: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
    36824 1981 Pages: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
    34700 2699 Pages: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
    41319 3496 Pages:425-451
  • Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

    Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan
    2022-05-06
    45189 3298 Pages: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
    47693 3239 Pages: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
    55429 3560 Pages: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
    45002 3205 Pages:1118-1142
  • Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme

    Yahui Wang, Ming Xie, Yu Ma
    2019-01-10
    46645 3907 Pages: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
    45205 3588 Pages: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
    45367 3638 Pages: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
    45049 3328 Pages:1021-1048
  • A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

    Xu Guo, Yutian Li, Hong Wang
    2018-09-17
    47140 3346 Pages:531-556
  • Coarse-Grained Molecular Dynamics Simulation of DPPC Lipid Bilayers: Size Effect on Structural and Dynamic Properties

    Bei Li
    2018-08-21
    46680 3661 Pages:1476-1487
  • Liquid Fuel Evaporation under Supercritical Conditions

    Guowei Xiao, Kai Hong Luo, Xiao Ma, Shijin Shuai
    2020-07-31
    49519 3258 Pages: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
    44558 3496 Pages:1028-1048
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