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  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    38426 3996 Pages:449-478
  • Development of Cartesian Grid Method and Local Grid Refinement for Discrete Velocity Method

    Zijian Liu, Songze Chen, Shiyi Chen
    2025-08-08
    4569 473 Pages:375-403
  • Numerical Solution for a Non-Fickian Diffusion in a Periodic Potential

    Adérito Araújo, Amal K. Das, Cidália Neves & Ercília Sousa
    2018-03-27
    39506 4781 Pages:502-525
  • A Nominally Second-Order Cell-Centered Finite Volume Scheme for Simulating Three-Dimensional Anisotropic Diffusion Equations on Unstructured Grids

    Pascal Jacq, Pierre-Henri Maire & Rémi Abgrall
    2014-10-08
    42418 4167 Pages:841-891
  • An All-Regime Lagrange-Projection Like Scheme for the Gas Dynamics Equations on Unstructured Meshes

    Christophe Chalons, Mathieu Girardin & Samuel Kokh
    2018-04-04
    42356 4717 Pages:188-233
  • A Gas-Kinetic Riemann Solver for Stiffened Gas Interface and Its Application in Multimaterial Flows

    Qibing Li
    2018-10-11
    45091 3374 Pages:416-447
  • Numerical Simulation of an Aortic Flow Based on a HLLC Type Incompressible Flow Solver

    Yang-Yao Niu, Chih-Hung Chang, Wen-Yih I. Tseng, Hsu-Hsia Pen & Hsi-Yu Yu
    2018-03-24
    37631 4369 Pages:142-162
  • Computation of High Frequency Wave Diffraction by a Half Plane via the Liouville Equation and Geometric Theory of Diffraction

    Shi Jin & Dongsheng Yin
    2008-11-05
    37064 4083 Pages:1106-1128
  • The Effective Use of BLAS Interface for Implementation of Finite-Element ADER-DG and Finite-Volume ADER-WENO Methods

    I. S. Popov
    2025-09-18
    4477 359 Pages:1237-1330
  • High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

    Liang Pan, Kun Xu
    2020-08-27
    49032 3288 Pages:1321-1351
  • Multi-Mesh-Scale Approximation of Thin Geophysical Mass Flows on Complex Topographies

    Yih-Chin Tai, Jeaniffer Vides, Boniface Nkonga, Chih-Yu Kuo
    2020-11-26
    46509 4217 Pages:148-185
  • Robust Conservative Level Set Method for 3D Mixed-Element Meshes — Application to LES of Primary Liquid-Sheet Breakup

    Thibault Pringuey & R. Stewart Cant
    2014-08-03
    42348 4071 Pages:403-439
  • A Coupled Immersed Interface and Level Set Method for Three-Dimensional Interfacial Flows with Insoluble Surfactant

    Jian-Jun Xu, Yunqing Huang, Ming-Chih Lai & Zhilin Li
    2018-03-27
    40511 4110 Pages:451-469
  • A Well-Balanced Gas Kinetic Scheme for Navier-Stokes Equations with Gravitational Potential

    Songze Chen, Zhaoli Guo, Kun Xu
    2020-07-21
    47518 3280 Pages:902-926
  • Lattice Boltzmann Finite Volume Formulation with Improved Stability

    A. Zarghami, M. J. Maghrebi, J. Ghasemi & S. Ubertini
    2012-12-01
    41274 4536 Pages:42-64
  • Stability of a Leap-Frog Discontinuous Galerkin Method for Time-Domain Maxwell's Equations in Anisotropic Materials

    Adérito Araújo, Sílvia Barbeiro & Maryam Khaksar Ghalati
    2018-04-09
    41435 3310 Pages:1350-1375
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    27987 2049 Pages:1073-1119
  • A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

    Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang
    2024-03-13
    25648 2150 Pages:524-552
  • A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field

    Shijun Zou, Xiaolong Zhao, Xijun Yu, Zihuan Dai
    2022-08-11
    301354 3352 Pages:547-582
  • A Novel Strong-Coupling Pseudo-Spectral Method for Numerical Studies of Two-Layer Turbulent Channel Flows

    Tong Wu, Zixuan Yang, Shizhao Wang, Guowei He
    2020-07-21
    46810 3131 Pages:1133-1146
  • Local Discontinuous-Galerkin Schemes for Model Problems in Phase Transition Theory

    Jenny Haink & Christian Rohde
    2008-04-01
    38183 3764 Pages:860-893
  • Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models

    Tianwei Yu, Roman Fuchs, Ralf Hiptmair
    2024-10-09
    15750 1260 Pages:581-617
  • An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

    Ruigang Shen, Qianru Zhang, Benzhuo Lu
    2024-09-06
    19661 1568 Pages:521-550
  • A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity

    Alexia de Brauer, Angelo Iollo & Thomas Milcent
    2017-11-02
    42524 3513 Pages:1362-1384
  • An Implicit Unified Gas Kinetic Scheme for Radiative Transfer with Equilibrium and Non-Equilibrium Diffusive Limits

    Wenjun Sun, Song Jiang & Kun Xu
    2017-10-02
    43606 3308 Pages:889-912
  • Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

    Jiahui Zhang, Yinhua Xia, Yan Xu
    2025-07-11
    5300 545 Pages:109-155
  • IMEX Large Time Step Finite Volume Methods for Low Froude Number Shallow Water Flows

    Georgij Bispen, K. R. Arun, Mária Lukáčová-Medvid'ová & Sebastian Noelle
    2014-08-03
    42362 4024 Pages:307-347
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