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  • Fifth-Order A-WENO Path-Conservative Central-Upwind Scheme for Behavioral Non-Equilibrium Traffic Models

    Shaoshuai Chu, Alexander Kurganov, Saeed Mohammadian, Zuduo Zheng
    2023-04-28
    DOI:10.4208/cicp.OA-2022-0263
    32318 2962 pp. 692-732
  • 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
  • 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
  • High Order Deep Neural Network for Solving High Frequency Partial Differential Equations

    Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang
    2022-01-27
    DOI:10.4208/cicp.OA-2021-0092
    46274 3540 pp. 370-397
  • A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations

    Karol Mikula, Daniel Ševčovič, Martin Balažovjech
    2010-07-01
    DOI:10.4208/cicp.2009.08.169
    41221 4354 pp. 195-211
  • On the Construction of Well-Conditioned Hierarchical Bases for $\mathcal{H}(div)$-Conforming $\mathbb{R}^n$ Simplicial Elements

    Jianguo Xin, Wei Cai, Nailong Guo
    2013-09-05
    DOI:10.4208/cicp.100412.041112a
    39901 4083 pp. 621-638
  • 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
  • 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
  • Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media Using Compact High Order Schemes

    Steven Britt, Semyon Tsynkov, Eli Turkel
    2011-03-05
    DOI:10.4208/cicp.091209.080410s
    39244 4067 pp. 520-541
  • Higher-Order Rytov Approximation for Large-Scale and Strong Perturbation Media

    Bo Feng, Ru-Shan Wu, Huazhong Wang
    2020-06-05
    DOI:10.4208/cicp.OA-2018-0091
    52404 4899 pp. 98-110
  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    DOI:10.4208/cicp.OA-2022-0030
    303127 3368 pp. 364-400
  • 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 Fourth-Order Upwinding Embedded Boundary Method (UEBM) for Maxwell's Equations in Media with Material Interfaces: Part I

    Shaozhong Deng, Wei Cai
    2006-01-01
    38531 3807 pp. 744-764
  • 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
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    DOI:10.4208/cicp.OA-2018-0100
    49556 3195 pp. 1224-1248
  • 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
  • Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

    Jialin Lou, Xiaodong Liu, Hong Luo, Hiroaki Nishikawa
    2019-01-10
    DOI:10.4208/cicp.OA-2017-0186
    51043 4087 pp. 1302-1327
  • A Novel High-Resolution TENO Scheme with Adaptive Artificial Anti-Diffusion

    Velmani Murugesan, Manoj T. Nair
    2026-03-16
    DOI:10.4208/cicp.OA-2025-0113
    443 59 pp. 88-128
  • 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
  • Effect of Geometric Conservation Law on Improving Spatial Accuracy for Finite Difference Schemes on Two-Dimensional Nonsmooth Grids

    Meiliang Mao, Huajun Zhu, Xiaogang Deng, Yaobing Min, Huayong Liu
    2018-04-03
    DOI:10.4208/cicp.250614.060215a
    39790 3103 pp. 673-706
  • An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense

    Jason P. Sheldon, Scott T. Miller, Jonathan S. Pitt
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0114
    45408 3810 pp. 1279-1299
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen, Jie Xu
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0209
    48242 4846 pp. 635-654 Open Access
  • High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

    Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao, Xiaogang Deng
    2018-08-21
    DOI:10.4208/cicp.OA-2017-0032
    48087 3560 pp. 1355-1392
  • 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 Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

    Yue Yan, Wenbin Chen, Cheng Wang, Steven M. Wise
    2018-08-21
    DOI:10.4208/cicp.OA-2016-0197
    51837 3369 pp. 572-602
  • A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

    Yaguang Gu, Guanghui Hu
    2017-09-02
    DOI:10.4208/cicp.OA-2016-0088
    44547 3232 pp. 829-851
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    38521 4034 pp. 449-478
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