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  • 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
  • High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

    Clarissa Astuto
    2025-05-29
    DOI:10.4208/cicp.OA-2024-0114
    9027 505 pp. 1327-1357
  • Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

    Shu-Cun Li, Huazhong Tang
    2021-08-10
    DOI:10.4208/cicp.OA-2020-0226
    47792 3143 pp. 1150-1184
  • A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

    Raphael Loubere, Michael Dumbser, Steven Diot
    2014-12-08
    DOI:10.4208/cicp.181113.140314a
    39691 3901 pp. 718-763
  • A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh

    Marc R. J. Charest, Clinton P. T. Groth, Pierre Q. Gauthier
    2018-04-02
    DOI:10.4208/cicp.091013.281114a
    37743 3133 pp. 615-656
  • High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

    Sebastien Jund, Stephanie Salmon, Eric Sonnendruecker
    2012-11-01
    DOI:10.4208/cicp.100310.230511a
    42244 3992 pp. 863-892
  • 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
  • A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

    Jun Zhu, Jianxian Qiu
    2020-07-30
    DOI:10.4208/cicp.OA-2018-0156
    44990 3885 pp. 897-920
  • 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
  • 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 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 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
    DOI:10.4208/cicp.OA-2023-0034
    25785 2193 pp. 524-552
  • 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
  • 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
  • High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres

    Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg
    2021-07-01
    DOI:10.4208/cicp.OA-2020-0153
    49547 3302 pp. 666-708
  • A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

    Jun Yang, Wei Cai, Xiaoping Wu
    2018-04-09
    DOI:10.4208/cicp.OA-2016-0089
    43267 3366 pp. 1065-1089
  • A CFD-Aided Galerkin Method for Global Linear Instability Analysis

    Shengqi Zhang, Zhenhua Xia, Shiyi Chen
    2020-11-26
    DOI:10.4208/cicp.OA-2020-0041
    46059 4709 pp. 128-147
  • 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
  • High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation

    Cyril Agut, Julien Diaz, Abdelaaziz Ezziani
    2020-07-31
    DOI:10.4208/cicp.311209.051110s
    39142 3998 pp. 691-708
  • Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations

    Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro, Knut Waagan
    2018-03-27
    DOI:10.4208/cicp.171109.070510a
    38050 3803 pp. 324-362
  • 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
  • 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
  • Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

    Ravi Kannan, Zhijian Wang
    2012-12-01
    DOI:10.4208/cicp.270311.060711a
    40876 4741 pp. 247-260
  • A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

    Lin Fu
    2019-07-02
    DOI:10.4208/cicp.OA-2018-0176
    48721 3327 pp. 973-1007
  • Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

    Richen Li, Qingbiao Wu, Shengfeng Zhu
    2021-05-25
    DOI:10.4208/cicp.OA-2020-0018
    48472 3361 pp. 396-422
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    DOI:10.4208/cicp.2019.js60.10
    50877 3663 pp. 1335-1364
  • A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

    Dominik Dierkes, Florian Kummer, Dominik Plümacher
    2021-04-30
    DOI:10.4208/cicp.OA-2019-0204
    46358 4076 pp. 288-320
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