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  • Exponential Runge-Kutta Methods for the Multispecies Boltzmann Equation

    Qin Li & Xu Yang
    2020-07-31
    41201 3960 Pages:996-1011
  • An All-Regime Lagrange-Projection Like Scheme for the Gas Dynamics Equations on Unstructured Meshes

    Christophe Chalons, Mathieu Girardin & Samuel Kokh
    2018-04-04
    42292 4674 Pages:188-233
  • 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
  • Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty

    José Antonio Carrillo, Lorenzo Pareschi & Mattia Zanella
    2018-10-11
    50282 4904 Pages:508-531 Open-access
  • A Numerical Approach for a System of Transport Equations in the Field of Radiotherapy

    Teddy Pichard, Stéphane Brull & Bruno Dubroca
    2018-12-08
    48049 3384 Pages:1097-1126
  • An Adaptive Conservative Finite Volume Method for Poisson-Nernst-Planck Equations on a Moving Mesh

    Xiulei Cao & Huaxiong Huang
    2019-04-04
    46868 3414 Pages:389-412
  • An Explicit MUSCL Scheme on Staggered Grids with Kinetic-Like Fluxes for the Barotropic and Full Euler System

    Thierry Goudon, Julie Llobell, Sebastian Minjeaud
    2020-07-30
    45852 3725 Pages:672-724
  • Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation

    Jian-Guo Liu, Jinhuan Wang, Yu Zhao, Zhennan Zhou
    2021-07-01
    47853 3210 Pages:874-902
  • Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations

    Matthias Maier, John N. Shadid, Ignacio Tomas
    2023-04-28
    32979 2937 Pages:647-691
  • On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

    Logan J. Cross, Xiangxiong Zhang
    2024-01-31
    28284 2560 Pages:160-180
  • Elements of the Lattice Boltzmann Method I: Linear Advection Equation

    I. V. Karlin, S. Ansumali, C. E. Frouzakis & S. S. Chikatamarla
    2006-01-01
    39615 3997 Pages:616-655
  • Bound-Preserving Point-Average-Moment PolynomiAl-Interpreted (PAMPA) Scheme: One-Dimensional Case

    Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu
    2025-11-07
    2636 149 Pages:29-58
  • Uncertainty Quantification for Charge Transport in GNRs Through Particle Galerkin Methods for the Semiclassical Boltzmann Equation

    Andrea Medaglia, Giovanni Nastasi, Vittorio Romano, Mattia Zanella
    2025-04-27
    186 50 Pages:1055-1084
  • GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

    Rajesh Gandham, David Medina & Timothy Warburton
    2018-04-03
    42400 4524 Pages:37-64
  • A Second-Order Langevin Sampler Preserving Positive Volume for Isothermal–Isobaric Ensemble

    Lei Li, Yuzhou Peng
    2025-08-23
    5986 410 Pages:630-660
  • Discontinuous-Galerkin Discretization of a New Class of Green-Naghdi Equations

    Arnaud Duran & Fabien Marche
    2018-04-02
    38308 3107 Pages:721-760
  • Finite Volume Evolution Galerkin Methods for the Shallow Water Equations with Dry Beds

    Andreas Bollermann, Sebastian Noelle, Maria Lukáčová-Medvid'ová
    2011-10-01
    37835 3920 Pages:371-404
  • A Finite-Volume Method for Nonlinear Nonlocal Equations with a Gradient Flow Structure

    José A. Carrillo, Alina Chertock, Yanghong Huang
    2018-04-02
    41963 4491 Pages:233-258
  • A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media

    Xinyuan Liu, Tao Xiong, Yang Yang
    2025-09-18
    4142 256 Pages:1515-1551
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