Search Results

• 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

  https://doi.org/10.4208/cicp.OA-2021-0126

  47752 3186 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

  https://doi.org/10.4208/cicp.OA-2023-0034

  25510 2118 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

  https://doi.org/10.4208/cicp.OA-2021-0127

  49083 3851 pp. 94-130

• 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

  https://doi.org/10.4208/cicp.OA-2023-0083

  32949 2710 pp. 1177-1214

• 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

  https://doi.org/10.4208/cicp.OA-2017-0183

  44991 3531 pp. 1375-1408

• The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

  Ping Zeng, Guanyu Zhou

  2024-05-06

  https://doi.org/10.4208/cicp.OA-2023-0309

  27860 2014 pp. 1073-1119

• 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

  https://doi.org/10.4208/cicp.OA-2021-0011

  47490 3185 pp. 1185-1215

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

  Hailiang Liu, Wumaier Maimaitiyiming

  2020-05-06

  https://doi.org/10.4208/cicp.OA-2019-0063

  49576 3616 pp. 1505-1529

• 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

  https://doi.org/10.4208/cicp.OA-2020-0088

  48625 3111 pp. 448-485

• 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

  https://doi.org/10.4208/cicp.OA-2023-0153

  161 57 pp. 781-820

• An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

  Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg

  2020-06-05

  https://doi.org/10.4208/cicp.OA-2019-0123

  48674 3336 pp. 591-620

• A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  https://doi.org/10.4208/cicp.OA-2018-0292

  50073 3628 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

  https://doi.org/10.4208/cicp.210213.300413a

  40504 4352 pp. 153-178

• 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

  https://doi.org/10.4208/cicp.OA-2023-0180

  26134 2223 pp. 467-497

• 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

  https://doi.org/10.4208/cicp.OA-2024-0068

  194 87 pp. 1120-1156

• 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

  https://doi.org/10.4208/cicp.OA-2023-0038

  24880 2105 pp. 633-661

• A Hybrid Numerical Simulation of Supersonic Isotropic Turbulence

  Luoqin Liu, Jianchun Wang, Yipeng Shi, Shiyi Chen & X. T. He

  2018-09-01

  https://doi.org/10.4208/cicp.OA-2018-0050

  47940 6904 pp. 189-217

• 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

  https://doi.org/10.4208/cicp.OA-2019-0037

  49155 3215 pp. 967-998

• 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

  https://doi.org/10.4208/cicp.OA-2018-0252

  44796 3146 pp. 1118-1142

• Bound-Preserving Point-Average-Moment PolynomiAl-Interpreted (PAMPA) Scheme: One-Dimensional Case

  Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu

  2025-11-07

  https://doi.org/10.4208/cicp.OA-2024-0266

  2636 149 pp. 29-58

• A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media

  Xinyuan Liu, Tao Xiong, Yang Yang

  2025-09-18

  https://doi.org/10.4208/cicp.OA-2023-0046

  4142 256 pp. 1515-1551

• Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations

  Matthias Maier, John N. Shadid, Ignacio Tomas

  2023-04-28

  https://doi.org/10.4208/cicp.OA-2022-0205

  32979 2937 pp. 647-691

• Integrated Linear Reconstruction for Finite Volume Scheme on Arbitrary Unstructured Grids

  Li Chen, Guanghui Hu & Ruo Li

  2018-09-17

  https://doi.org/10.4208/cicp.OA-2017-0137

  48611 3320 pp. 454-480

• 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

  https://doi.org/10.4208/cicp.OA-2021-0074

  49256 4172 pp. 60-93 Open Access

• Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

  Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu

  2024-06-14

  https://doi.org/10.4208/cicp.OA-2023-0284

  27753 1809 pp. 1352-1386

• A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics

  R. Chauvin, S. Guisset, B. Manach-Perennou, L. Martaud

  2021-12-06

  https://doi.org/10.4208/cicp.OA-2021-0059

  48170 4289 pp. 293-330

• A High Order Central DG Method of the Two-Layer Shallow Water Equations

  Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian

  2020-08-27

  https://doi.org/10.4208/cicp.OA-2019-0155

  48957 3169 pp. 1437-1463