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  • 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
    DOI:10.4208/cicp.291109.080410s
    39979 4301 pp. 807-827
  • A High-Order Modified Finite Volume WENO Method on 3D Cartesian Grids

    Yulong Du, Li Yuan, Yahui Wang
    2019-04-28
    DOI:10.4208/cicp.OA-2018-0254
    46446 3335 pp. 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
    DOI:10.4208/cicp.OA-2021-0126
    47991 3249 pp. 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
    DOI:10.4208/cicp.OA-2019-0197
    46446 4465 pp. 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
    DOI:10.4208/cicp.OA-2023-0108
    24804 2133 pp. 662-692
  • A Compact High Order Space-Time Method for Conservation Laws

    Shuangzhang Tu, Gordon W. Skelton, Qing Pang
    2018-03-27
    DOI:10.4208/cicp.050309.110510a
    37460 3909 pp. 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
    DOI:10.4208/cicp.OA-2020-0073
    48680 4396 pp. 67-96
  • High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

    Liang Pan, Kun Xu
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0141
    49148 3309 pp. 1321-1351
  • A Two-Stage Fourth-Order Gas-Kinetic CPR Method for Subsonic Flows on Hexahedral Meshes

    Chao Zhang, Qibing Li, Zhihui Li
    2026-04-03
    DOI:10.4208/cicp.OA-2024-0292
    233 38 pp. 1620-1643
  • 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
    DOI:10.4208/cicp.211014.040915a
    41618 3327 pp. 273-300
  • On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

    Michael Dumbser, Ariunaa Uuriintsetseg, Olindo Zanotti
    2014-08-05
    DOI:10.4208/cicp.310112.120912a
    41217 4163 pp. 301-327
  • AUSM-Based High-Order Solution for Euler Equations

    Angelo L. Scandaliato, Meng-Sing Liou
    2012-12-01
    DOI:10.4208/cicp.250311.081211a
    41027 4156 pp. 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
    DOI:10.4208/cicp.OA-2024-0157
    6444 481 pp. 729-765
  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng, Feng Xiao
    2020-07-31
    DOI:10.4208/cicp.081214.250515s
    39084 3099 pp. 901-930
  • A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

    Fan Zhang, Tiegang Liu
    2022-09-29
    DOI:10.4208/cicp.OA-2022-0064
    41123 3196 pp. 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
    DOI:10.4208/cicp.OA-2019-0207
    50251 3290 pp. 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
    DOI:10.4208/cicp.OA-2023-0143
    25120 2160 pp. 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
    DOI:10.4208/cicp.OA-2023-0002
    25125 2223 pp. 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
    DOI:10.4208/cicp.OA-2016-0090
    42401 3301 pp. 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
    DOI:10.4208/cicp.230914.040615a
    41796 3256 pp. 496-533
  • Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

    Jing-Mei Qiu, Chi-Wang Shu
    2011-10-01
    DOI:10.4208/cicp.180210.251110a
    40880 4332 pp. 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
    DOI:10.4208/cicp.OA-2023-0061
    31586 2735 pp. 1043-1078
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    DOI:10.4208/cicp.OA-2023-0065
    31243 2715 pp. 955-992
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng, Tiegang Liu
    2019-01-10
    DOI:10.4208/cicp.OA-2017-0088
    47535 3947 pp. 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
    DOI:10.4208/cicp.OA-2017-0212
    49851 3603 pp. 1127-1143
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri, Michael Dumbser
    2013-11-05
    DOI:10.4208/cicp.181012.010313a
    40600 3991 pp. 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
    DOI:10.4208/cicp.OA-2023-0348
    19658 1518 pp. 451-484
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