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  • Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

    Hojun You, Juhyun Kim, Chongam Kim
    2023-05-12
    DOI:10.4208/cicp.OA-2022-0253
    36257 2996 pp. 992-1034
  • A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow

    Xiaolu Gu, Juan Cheng, Chi-Wang Shu
    2023-12-11
    DOI:10.4208/cicp.OA-2023-0083
    33190 2780 pp. 1177-1214
  • The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang
    2025-09-18
    DOI:10.4208/cicp.OA-2024-0135
    4609 357 pp. 1417-1452
  • A Strong Stability-Preserving Predictor-Corrector Method for the Simulation of Elastic Wave Propagation in Anisotropic Media

    D. H. Yang, N. Wang, E. Liu
    2012-12-01
    DOI:10.4208/cicp.010111.230911a
    40551 4326 pp. 1006-1032
  • A Weighted Runge-Kutta Method with Weak Numerical Dispersion for Solving Wave Equations

    Shan Chen, Dinghui Yang, Xiaoying Deng
    2010-07-01
    DOI:10.4208/cicp.2009.09.088
    39090 4438 pp. 1027-1048
  • 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
    DOI:10.4208/cicp.OA-2025-0124
    4088 200 pp. 387-416
  • High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes

    Lintao Huang, Wenhua Ma, Shuaikang Wang, Yibing Chen
    2025-09-05
    DOI:10.4208/cicp.OA-2025-0067
    3887 410 pp. 1089-1129
  • An Efficient DDG/FV Hybrid Method for 3D Viscous Flow Simulations on Tetrahedral Grids

    Shuai Shao, Ming Li, Nianhua Wang, Laiping Zhang
    2020-07-30
    DOI:10.4208/cicp.OA-2018-0240
    45509 3775 pp. 725-752
  • A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

    Min Zhang, Weizhang Huang, Jianxian Qiu
    2021-12-06
    DOI:10.4208/cicp.OA-2021-0127
    49320 4002 pp. 94-130
  • 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
  • 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
  • High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids

    Yuzhi Sun, Z. J. Wang, Yen Liu
    2018-03-24
    39878 3926 pp. 310-333
  • 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
    DOI:10.4208/cicp.OA-2022-0096
    42407 3169 pp. 1217-1239
  • High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

    Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu
    2019-08-27
    DOI:10.4208/cicp.2019.js60.15
    47370 3378 pp. 1530-1574
  • 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
  • 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
    41169 3627 pp. 600-619
  • The Direct Discontinuous Galerkin (DDG) Method for Diffusion with Interface Corrections

    Hailiang Liu, Jue Yan
    2010-08-01
    DOI:10.4208/cicp.010909.011209a
    45067 4562 pp. 541-564
  • Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods

    Ossian O'Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham
    2020-07-30
    DOI:10.4208/cicp.111013.120914a
    40501 3107 pp. 337-370
  • 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
  • Direct Vlasov Solvers with High-Order Spectral Element Method

    Jin Xu, Brahim Mustapha, Peter Ostroumov, Jerry Nolen
    2010-08-01
    DOI:10.4208/cicp.080409.051009a
    39619 4626 pp. 159-184
  • 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
  • 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
    DOI:10.4208/cicp.250214.130814a
    40977 3028 pp. 317-336
  • Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

    Ruihan Guo, Yan Xu
    2019-02-25
    DOI:10.4208/cicp.OA-2018-0034
    50368 5375 pp. 87-113
  • 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
  • Numerical Validation for High Order Hyperbolic Moment System of Wigner Equation

    Ruo Li, Tiao Lu, Yanli Wang, Wenqi Yao
    2014-03-05
    DOI:10.4208/cicp.091012.120813a
    41811 4194 pp. 569-595
  • A NURBS-Enhanced Finite Volume Method for Steady Euler Equations with Goal-Oriented $h$-Adaptivity

    Xucheng Meng, Guanghui Hu
    2022-08-11
    DOI:10.4208/cicp.OA-2021-0143
    303197 3885 pp. 490-523 Open Access
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