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  • 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
    25510 2118 Pages:524-552
  • High-Order Adaptive Dissipation Scheme Based on Vortex Recognition for Compressible Turbulence Flow

    Jiahong Cai, Shengye Wang, Wei Liu
    2024-03-13
    26048 2140 Pages:395-426
  • A Hybrid WENO Scheme for Steady Euler Equations in Curved Geometries on Cartesian Grids

    Yifei Wan, Yinhua Xia
    2023-06-06
    47223 3031 Pages:1270-1331
  • A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

    Fan Zhang, Tiegang Liu
    2022-09-29
    40876 3129 Pages:850-877
  • A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

    Guoliang Zhang, Tao Xiong
    2022-07-06
    42686 3625 Pages:126-155
  • 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
    45191 3103 Pages:913-946
  • 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
    47752 3186 Pages:771-815
  • High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres

    Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg
    2021-07-01
    49358 3217 Pages:666-708
  • 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
  • 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
    50026 3238 Pages:1464-1501
  • High-Order Spectral Simulation of Graphene Ribbons

    David P. Nicholls
    2019-08-27
    43416 3158 Pages:1575-1596
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan & Yahui Wang
    2019-04-28
    46249 3265 Pages:768-784
  • 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
    39476 4061 Pages:817-840
  • A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

    Na Liu & Huazhong Tang
    2020-07-31
    41368 3926 Pages:911-943
  • Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

    Helen C. Yee, Bjorn Sjögreen & Abdellah Hadjadj
    2012-12-01
    42215 4061 Pages:1603-1622
  • AUSM-Based High-Order Solution for Euler Equations

    Angelo L. Scandaliato & Meng-Sing Liou
    2012-12-01
    40855 4064 Pages:1096-1120
  • A High Order Sharp-Interface Method with Local Time Stepping for Compressible Multiphase Flows

    Angela Ferrari, Claus-Dieter Munz & Bernhard Weigand
    2011-09-01
    39058 4348 Pages:205-230
  • Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

    Björn Sjögreen & H. C. Yee
    2018-04-11
    41196 3378 Pages:730-744
  • Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

    Sigal Gottlieb & Jae-Hun Jung
    2018-04-11
    41000 3576 Pages:600-619
  • A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

    Y. Xing & C.-W. Shu
    2018-03-22
    41764 4457 Pages:100-134
  • 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
  • High-Order Spectral Simulation of Dispersive Two-Dimensional Materials

    David P. Nicholls, Tianyu Zhu
    2025-09-05
    3493 311 Pages:923-952
  • High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

    Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu
    2024-10-09
    161 57 Pages:781-820
  • A High-Order Fast Boundary Element Method with Near-Boundary Stability for Field Emission from Nanoscale Structures

    Alister J. Tencate, Béla Erdélyi
    2024-09-06
    165 52 Pages:451-484
  • Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

    Gabriella Puppo, Matteo Semplice, Giuseppe Visconti
    2024-07-29
    152 117 Pages:30-70
  • High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

    Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu
    2024-07-29
    154 113 Pages:1-29
  • High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

    Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen
    2020-07-30
    40849 2971 Pages:317-336
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