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  • 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 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
  • 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
  • Unconditional Positivity-Preserving and Energy Stable Schemes for a Reduced Poisson-Nernst-Planck System

    Hailiang Liu, Wumaier Maimaitiyiming
    2020-05-06
    DOI:10.4208/cicp.OA-2019-0063
    49802 3713 pp. 1505-1529
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    DOI:10.4208/cicp.OA-2023-0309
    28111 2092 pp. 1073-1119
  • A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

    Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong
    2024-03-13
    DOI:10.4208/cicp.OA-2023-0180
    26439 2329 pp. 467-497
  • An Efficient Positivity-Preserving Finite Volume Scheme for the Nonequilibrium Three-Temperature Radiation Diffusion Equations on Polygonal Meshes

    Shuai Su, Huazhong Tang, Jiming Wu
    2021-05-25
    DOI:10.4208/cicp.OA-2020-0088
    48871 3170 pp. 448-485
  • A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes

    Hui Xie, Xuejun Xu, Chuanlei Zhai, Heng Yong
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0183
    45207 3589 pp. 1375-1408
  • 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
  • A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

    Qiannan Dong, Shuai Su, Jiming Wu
    2020-05-06
    DOI:10.4208/cicp.OA-2018-0292
    50302 3700 pp. 1378-1412
  • A Positivity-Preserving Scheme for the Simulation of Streamer Discharges in Non-Attaching and Attaching Gases

    Chijie Zhuang, Rong Zeng
    2014-01-05
    DOI:10.4208/cicp.210213.300413a
    40635 4480 pp. 153-178
  • Two Nonlinear Positivity-Preserving Finite Volume Schemes for Three-Dimensional Heat Conduction Equations on General Polyhedral Meshes

    Menghuan Liu, Shi Shu, Guangwei Yuan, Xiaoqiang Yue
    2021-08-10
    DOI:10.4208/cicp.OA-2021-0011
    47693 3240 pp. 1185-1215
  • Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes

    Zhanjing Tao, Zhengfu Xu, Jianxian Qiu
    2026-01-18
    DOI:10.4208/cicp.OA-2024-0165
    754 119 pp. 1164-1198
  • High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

    Zhen Gao, Shuang Guo, Bao-Shan Wang, Yaguang Gu
    2024-10-09
    DOI:10.4208/cicp.OA-2023-0153
    15739 1275 pp. 781-820
  • A Provably Positive-Preserving HLLD Riemann Solver for Ideal Magnetohydrodynamics. Part I: The One-Dimensional Case

    Xiaoteng Zhang, Xun Wang, Zhijun Shen, Chao Yang
    2025-04-27
    DOI:10.4208/cicp.OA-2024-0068
    9400 599 pp. 1120-1156
  • A Hybrid Numerical Simulation of Supersonic Isotropic Turbulence

    Luoqin Liu, Jianchun Wang, Yipeng Shi, Shiyi Chen, X. T. He
    2018-09-01
    DOI:10.4208/cicp.OA-2018-0050
    48157 7084 pp. 189-217
  • A Monotone Finite Volume Scheme with Fixed Stencils for 3D Heat Conduction Equation

    Hui Xie, Chuanlei Zhai, Xuejun Xu, Jun Peng, Heng Yong
    2019-07-02
    DOI:10.4208/cicp.OA-2018-0252
    45004 3208 pp. 1118-1142
  • An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

    Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg
    2020-06-05
    DOI:10.4208/cicp.OA-2019-0123
    48912 3382 pp. 591-620
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    DOI:10.4208/cicp.OA-2019-0037
    49446 3276 pp. 967-998
  • A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

    Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang
    2024-04-10
    DOI:10.4208/cicp.OA-2023-0038
    25116 2172 pp. 633-661
  • Integrated Linear Reconstruction for Finite Volume Scheme on Arbitrary Unstructured Grids

    Li Chen, Guanghui Hu, Ruo Li
    2018-09-17
    DOI:10.4208/cicp.OA-2017-0137
    48776 3364 pp. 454-480
  • A High Order Central DG Method of the Two-Layer Shallow Water Equations

    Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian
    2020-08-27
    DOI:10.4208/cicp.OA-2019-0155
    49146 3229 pp. 1437-1463
  • 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 Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    DOI:10.4208/cicp.OA-2021-0074
    49556 4334 pp. 60-93 Open Access
  • Stability Analysis and Structure Preserving Schemes for the Reactive Euler Equations with a New Equation of State

    Minghao Sun, Hujian Zuo, Weifeng Zhao, Ping Lin
    2026-05-01
    DOI:10.4208/cicp.OA-2024-0175
    232 55 pp. 1589-1619
  • 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
  • Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

    Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan
    2022-05-06
    DOI:10.4208/cicp.OA-2021-0197
    45192 3299 pp. 1489-1524
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