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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
    38945 4233 Pages:185-202
  • A Family of Relaxation Schemes for Nonlinear Convection Diffusion Problems

    Fausto Cavalli, Giovanni Naldi, Gabriella Puppo & Matteo Semplice
    2018-04-11
    41708 3583 Pages:532-545
  • Reliability Investigation of BiCGStab and IDR Solvers for the Advection-Diffusion-Reaction Equation

    Chris Schoutrop, Jan ten Thije Boonkkamp, Jan van Dijk
    2022-07-06
    42522 3761 Pages:156-188
  • A Nonlinear Finite Volume Scheme Preserving Maximum Principle for Diffusion Equations

    Jinjing Xu, Fei Zhao, Zhiqiang Sheng, Guangwei Yuan
    2021-01-13
    45679 3318 Pages:747-766
  • Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media

    Pierre Degond, Alexei Lozinski, Bagus Putra Muljadi & Jacek Narski
    2018-04-02
    38940 2981 Pages:887-907
  • A Lattice Boltzmann Method for the Advection-Diffusion Equation with Neumann Boundary Conditions

    Tobias Gebäck & Alexei Heintz
    2018-03-27
    40653 4097 Pages:487-505
  • An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH

    Xiaojing Tang, Dong Wu, Zhentong Wang, Oskar Haidn, Xiangyu Hu
    2024-12-02
    203 55 Pages:1219-1261
  • Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method

    Zhihao Li, Boyi Zou, Haiqin Wang, Jian Su, Dong Wang, Xinpeng Xu
    2025-09-02
    263 68 Pages:353-382
  • DAFI: An Open-Source Framework for Ensemble-Based Data Assimilation and Field Inversion

    Carlos A. Michelén Ströfer, Xin-Lei Zhang, Heng Xiao
    2021-03-24
    46782 3161 Pages:1583-1622
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    46211 4304 Pages:237-264
  • Quasi-Optimized Overlapping Schwarz Waveform Relaxation Algorithm for PDEs with Time-Delay

    Shu-Lin Wu & Ting-Zhu Huang
    2013-09-05
    39481 4015 Pages:780-800
  • An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems

    Yanlong Zhang, Jiming Wu
    2025-09-02
    358 55 Pages:783-809
  • 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
  • A Tailored Finite Point Method for Solving Steady MHD Duct Flow Problems with Boundary Layers

    Po-Wen Hsieh, Yintzer Shih & Suh-Yuh Yang
    2011-10-01
    39213 4306 Pages:161-182
  • 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
    47236 5427 Pages:233-264
  • Hopf Bifurcation and Time Periodic Orbits with pde2path – Algorithms and Applications

    Hannes Uecker
    2018-11-09
    48187 3419 Pages:812-852
  • Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes

    Xiang Lai, Zhiqiang Sheng & Guangwei Yuan
    2018-04-08
    41142 4566 Pages:162-181
  • Lattice Boltzmann Modeling of Advection-Diffusion-Reaction Equations: Pattern Formation Under Uniform Differential Advection

    S. G. Ayodele, D. Raabe & F. Varnik
    2020-07-31
    41175 4436 Pages: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
    38594 4023 Pages:1503-1524
  • Uncertainty Quantification of Phase Transition Problems with an Injection Boundary

    Zhenyi Zhang, Shengbo Ma, Zhennan Zhou
    2025-11-28
    893 35 Pages:578-614
  • An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

    Aashish Goyal, Anthony Wachs
    2023-11-08
    31555 2569 Pages:1079-1132
  • A TV-Based Iterative Regularization Method for the Solutions of Thermal Convection Problems

    Eric T. Chung & Jeff C.-F. Wong
    2013-10-05
    39450 3767 Pages:1120-1146
  • Multiscale Finite Element Methods for Flows on Rough Surfaces

    Yalchin Efendiev, Juan Galvis & M. Sebastian Pauletti
    2013-10-05
    38781 3890 Pages:979-1000
  • A Preconditioned Implicit Free-Surface Capture Scheme for Large Density Ratio on Tetrahedral Grids

    Xin Lv, Qingping Zou, D. E. Reeve & Yong Zhao
    2012-11-01
    39060 4098 Pages:215-248
  • 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
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