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  • Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

    Shu-Cun Li, Huazhong Tang
    2021-08-10
    47791 3142 Pages:1150-1184
  • High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations

    Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li, Yuqiu Gu
    2013-08-05
    43783 4830 Pages:1134-1150 Open-access
  • Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

    Helen C. Yee, Bjorn Sjoegreen, Abdellah Hadjadj
    2012-12-01
    42366 4120 Pages:1603-1622
  • High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

    Manuel A. Diaz, Min-Hung Chen, Jaw-Yen Yang
    2020-07-31
    38375 2976 Pages:1012-1049
  • Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations

    E. Ferrer, D. Moxey, R. H. J. Willden, S. J. Sherwin
    2014-12-08
    39658 4109 Pages:817-840
  • Directly Simulation of Second Order Hyperbolic Systems in Second Order Form via the Regularization Concept

    Hassan Yousefi, Seyed Shahram Ghorashi, Timon Rabczuk
    2018-04-04
    42387 4772 Pages:86-135
  • A Third Order Conservative Lagrangian Type Scheme on Curvilinear Meshes for the Compressible Euler Equations

    Juan Cheng, Chi-Wang Shu
    2008-11-05
    39321 4601 Pages:1008-1024
  • High-Order Local Discontinuous Galerkin Method with Multi-Resolution WENO Limiter for Navier-Stokes Equations on Triangular Meshes

    Yizhou Lu, Jun Zhu, Shengzhu Cui, Zhenming Wang, Linlin Tian, Ning Zhao
    2023-06-06
    42403 3166 Pages:1217-1239
  • Bound-Preserving Point-Average-Moment PolynomiAl-Interpreted (PAMPA) Scheme: One-Dimensional Case

    Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu
    2026-01-15
    3282 379 Pages:29-58
  • A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

    Yifei Wan, Yinhua Xia
    2023-06-06
    47452 3097 Pages:1270-1331
  • High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

    Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong
    2022-03-03
    45443 3203 Pages:913-946
  • A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

    Jun Zhu, Jianxian Qiu
    2020-07-30
    44988 3883 Pages:897-920
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan, Yahui Wang
    2019-04-28
    46446 3335 Pages:768-784
  • High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

    Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu
    2022-03-03
    47989 3248 Pages:771-815
  • A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

    Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu
    2026-02-15
    4083 200 Pages:387-416
  • An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions

    Junlei Mu, Congshan Zhuo, Qingdian Zhang, Sha Liu, Chengwen Zhong
    2024-04-10
    24802 2133 Pages:662-692
  • High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

    Sebastien Jund, Stephanie Salmon, Eric Sonnendruecker
    2012-11-01
    42244 3992 Pages:863-892
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton, Qing Pang
    2018-03-27
    37458 3907 Pages:441-480
  • A New Class of Very-High-Order Finite Difference TENO Schemes with Discontinuity-Resolving Property for Compressible Euler Equations

    Tian Liang, Lin Fu
    2024-10-09
    16974 1259 Pages:618-650
  • Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

    Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    2021-04-30
    48678 4393 Pages:67-96
  • A Two-Stage Fourth-Order Gas-Kinetic CPR Method for Subsonic Flows on Hexahedral Meshes

    Chao Zhang, Qibing Li, Zhihui Li
    2026-04-03
    181 35 Pages:1620-1643
  • High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

    Zhen Gao, Guanghui Hu
    2017-10-02
    46553 3368 Pages:1049-1068
  • High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

    Liang Wu, Yong-Tao Zhang, Shuhai Zhang, Chi-Wang Shu
    2018-04-04
    40586 3219 Pages:835-869
  • High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

    Yupeng Ren, Zhimin Zhang
    2026-01-18
    828 181 Pages:1059-1102
  • On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes

    Rui Zhang, Mengping Zhang, Chi-Wang Shu
    2011-03-05
    39975 4300 Pages:807-827
  • A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

    Fan Zhang, Tiegang Liu
    2022-09-29
    41119 3194 Pages:850-877
  • A General Improvement in the WENO-Z-Type Schemes

    Ruo Li, Wei Zhong
    2022-05-06
    45152 3283 Pages:1362-1401
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