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  • 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 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
  • 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
  • A High Order Bound Preserving Finite Difference Linear Scheme for Incompressible Flows

    Guoliang Zhang, Tao Xiong
    2022-07-06
    DOI:10.4208/cicp.OA-2021-0248
    42894 3721 pp. 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
    DOI:10.4208/cicp.OA-2021-0158
    45444 3207 pp. 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
    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
  • 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
  • Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

    Minghua Chen, Weihua Deng
    2014-08-03
    DOI:10.4208/cicp.120713.280214a
    42385 4327 pp. 516-540
  • Do We Need Decay-Preserving Error Estimate for Solving Parabolic Equations with Initial Singularity?

    Jiwei Zhang, Zhimin Zhang, Chengchao Zhao
    2026-01-18
    DOI:10.4208/cicp.OA-2025-0130
    797 159 pp. 1027-1058
  • 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
  • A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

    Lin Fu, Xiangyu Hu, Nikolaus A. Adams
    2019-04-04
    DOI:10.4208/cicp.OA-2018-0145
    49437 3348 pp. 311-345
  • WENO Scheme-Based Lattice Boltzmann Flux Solver for Simulation of Compressible Flows

    You Li, Hai-Zhuan Yuan, Xiao-Dong Niu, Yu-Yue Yang, Shi Shu
    2020-07-31
    DOI:10.4208/cicp.OA-2016-0210
    50095 3282 pp. 1012-1036
  • High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

    Yupeng Ren, Zhimin Zhang
    2026-01-18
    DOI:10.4208/cicp.OA-2024-0058
    832 183 pp. 1059-1102
  • 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
  • Comparative Study of Three High Order Schemes for LES of Temporally Evolving Mixing Layers

    Helen C. Yee, Bjorn Sjoegreen, Abdellah Hadjadj
    2012-12-01
    DOI:10.4208/cicp.261111.130412a
    42366 4120 pp. 1603-1622
  • High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

    Shangting Li, Huazhong Tang
    2025-08-08
    DOI:10.4208/cicp.OA-2024-0152
    4737 503 pp. 538-574
  • High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

    Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun
    2020-11-26
    DOI:10.4208/cicp.OA-2020-0050
    47157 4566 pp. 1-56
  • Simulation of Maxwell's Equations on GPU Using a High-Order Error-Minimized Scheme

    Tony W. H. Sheu, S. Z. Wang, J. H. Li, Matthew R. Smith
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0079
    43739 3439 pp. 1039-1064
  • 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
  • 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
    DOI:10.4208/cicp.OA-2024-0023
    28125 2049 pp. 1-29
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    DOI:10.4208/cicp.OA-2020-0198
    48629 3229 pp. 1037-1060
  • Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

    Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel
    2021-03-24
    DOI:10.4208/cicp.OA-2020-0046
    45052 3353 pp. 1299-1335
  • High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

    Walter Boscheri, Raphaël Loubère
    2018-04-08
    DOI:10.4208/cicp.OA-2015-0024
    41592 4735 pp. 271-312
  • 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
  • Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

    Bjorn Sjogreen, H. C. Yee
    2018-04-11
    41377 3444 pp. 730-744
  • 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
    DOI:10.4208/cicp.171214.210715s
    38375 2977 pp. 1012-1049
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