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  • A Finite Volume Scheme for Three-Dimensional Diffusion Equations

    Xiang Lai, Zhiqiang Sheng & Guangwei Yuan
    2018-04-03
    39339 3066 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
    41122 3322 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
    40323 3044 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
    38852 3973 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
    5089 497 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
    35549 1812 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
    36587 1889 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
    34456 2638 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
    41010 3389 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
    44963 3217 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
    47490 3185 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
    54997 3468 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
    44796 3146 Pages:1118-1142
  • Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme

    Yahui Wang, Ming Xie & Yu Ma
    2019-01-10
    46446 3841 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
    44991 3531 Pages:1375-1408
  • An Admissible Asymptotic-Preserving Numerical Scheme for the Electronic $M_1$ Model in the Diffusive Limit

    Sébastien Guisset, Stéphane Brull, Bruno Dubroca & Rodolphe Turpault
    2018-09-17
    45172 3591 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
    44838 3284 Pages:1021-1048
  • A Fast Finite Difference Method for Tempered Fractional Diffusion Equations

    Xu Guo, Yutian Li & Hong Wang
    2018-09-17
    46956 3303 Pages:531-556
  • Coarse-Grained Molecular Dynamics Simulation of DPPC Lipid Bilayers: Size Effect on Structural and Dynamic Properties

    Bei Li
    2018-08-21
    46480 3579 Pages:1476-1487
  • Liquid Fuel Evaporation under Supercritical Conditions

    Guowei Xiao, Kai Hong Luo, Xiao Ma & Shijin Shuai
    2020-07-31
    49345 3207 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
    44321 3357 Pages:1028-1048
  • Projected Finite Elements for Systems of Reaction-Diffusion Equations on Closed Evolving Spheroidal Surfaces

    Necibe Tuncer & Anotida Madzvamuse
    2018-04-09
    40995 3100 Pages:718-747
  • A Conservative Parallel Iteration Scheme for Nonlinear Diffusion Equations on Unstructured Meshes

    Yunlong Yu, Yanzhong Yao, Guangwei Yuan & Xingding Chen
    2020-07-30
    42259 3385 Pages:1405-1423
  • An Adaptive Grid Method for Singularly Perturbed Time-Dependent Convection-Diffusion Problems

    Yanping Chen & Li-Bin Liu
    2020-07-30
    41924 3440 Pages:1340-1358
  • An Anisotropic Convection-Diffusion Model Using Tailored Finite Point Method for Image Denoising and Compression

    Yu-Tuan Lin, Yin-Tzer Shih & Chih-Ching Tsai
    2020-07-31
    40572 3251 Pages:1357-1374
  • A Dimensional Splitting of ETD Schemes for Reaction-Diffusion Systems

    E. O. Asante-Asamani & Bruce A. Wade
    2020-07-31
    40698 3355 Pages:1343-1356
  • Construction, Analysis and Application of Coupled Compact Difference Scheme in Computational Acoustics and Fluid Flow Problems

    Jitenjaya Pradhan, Amit, Bikash Mahato, Satish D. Dhandole & Yogesh G. Bhumkar
    2020-07-31
    38657 3009 Pages:957-984
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