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  • 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 Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    46325 4365 Pages:237-264
  • 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
  • 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
  • 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 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
  • High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

    D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen
    2018-04-03
    41525 3292 Pages:273-300
  • On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

    Michael Dumbser, Ariunaa Uuriintsetseg & Olindo Zanotti
    2014-08-05
    41123 4144 Pages:301-327
  • AUSM-Based High-Order Solution for Euler Equations

    Angelo L. Scandaliato & Meng-Sing Liou
    2012-12-01
    40926 4105 Pages:1096-1120
  • Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

    Meng Li, Yihang Guo, Jingjiang Bi
    2025-08-23
    6319 430 Pages:729-765
  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng & Feng Xiao
    2020-07-31
    38999 3062 Pages:901-930
  • 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 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
  • Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

    Lele Liu, Hong Zhang, Xu Qian, Songhe Song
    2024-03-13
    24991 2119 Pages:498-523
  • Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

    Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao
    2024-04-10
    24997 2187 Pages:609-632
  • A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

    Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo
    2018-04-09
    42307 3267 Pages:1231-1257
  • Development of a High-Resolution Scheme for Solving the PNP-NS Equations in Curved Channels

    Tony W. H. Sheu, Yogesh G. Bhumkar, S. T. Yuan & S. C. Syue
    2018-04-03
    41711 3221 Pages:496-533
  • Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

    Jing-Mei Qiu & Chi-Wang Shu
    2011-10-01
    40760 4280 Pages:979-1000
  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    31433 2689 Pages:1043-1078
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    31138 2679 Pages:955-992
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng & Tiegang Liu
    2019-01-10
    47404 3915 Pages:1413-1445
  • Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

    Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia & Songhe Song
    2018-12-08
    49760 3564 Pages:1127-1143
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri & Michael Dumbser
    2013-11-05
    40495 3961 Pages:1174-1206
  • 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
    19548 1478 Pages:451-484
  • 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
    41066 3595 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
    41853 4518 Pages:100-134
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