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  • 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
    43693 4759 Pages:1134-1150 Open-access
  • Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

    Helen C. Yee, Bjorn Sjögreen & Abdellah Hadjadj
    2012-12-01
    42297 4083 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
    38285 2942 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
    39549 4078 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
    42308 4700 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
    39214 4562 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
    42277 3118 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
    3000 239 Pages:29-58
  • A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

    Yifei Wan, Yinhua Xia
    2023-06-06
    47343 3060 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
    45318 3173 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
    44869 3849 Pages:897-920
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan & Yahui Wang
    2019-04-28
    46342 3299 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
    47865 3213 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
    3822 156 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
    24700 2089 Pages:662-692
  • High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

    Sébastien Jund, Stéphanie Salmon & Eric Sonnendrücker
    2012-11-01
    42162 3946 Pages:863-892
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton & Qing Pang
    2018-03-27
    37384 3873 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
    16850 1209 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
    48557 4329 Pages:67-96
  • High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations

    Zhen Gao & Guanghui Hu
    2017-10-02
    46467 3335 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
    40482 3195 Pages:835-869
  • High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

    Yupeng Ren, Zhimin Zhang
    2026-01-18
    276 80 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
    39890 4279 Pages:807-827
  • A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

    Fan Zhang, Tiegang Liu
    2022-09-29
    40999 3166 Pages:850-877
  • A General Improvement in the WENO-Z-Type Schemes

    Ruo Li, Wei Zhong
    2022-05-06
    45047 3241 Pages:1362-1401
  • A High-Order Cell-Centered Discontinuous Galerkin Multi-Material Arbitrary Lagrangian-Eulerian Method

    Fang Qing, Xijun Yu, Zupeng Jia, Meilan Qiu, Xiaolong Zhao
    2020-08-27
    50143 3268 Pages:1464-1501
  • 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
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