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

  47989 3248 Pages: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

  25785 2192 Pages:524-552

• Maximum-Principle-Preserving and Positivity-Preserving Central WENO Schemes on Overlapping Meshes

  Zhanjing Tao, Zhengfu Xu, Jianxian Qiu

  2026-01-18

  746 117 Pages:1164-1198

• 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

  49320 4002 Pages:94-130

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

  Ping Zeng, Guanyu Zhou

  2024-05-06

  28105 2088 Pages:1073-1119

• 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

  45205 3588 Pages: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

  33187 2779 Pages:1177-1214

• 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

  47693 3239 Pages:1185-1215

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

  Hailiang Liu, Wumaier Maimaitiyiming

  2020-05-06

  49800 3710 Pages: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

  48869 3170 Pages: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

  15737 1274 Pages: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

  48906 3381 Pages:591-620

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

  Qiannan Dong, Shuai Su, Jiming Wu

  2020-05-06

  50301 3700 Pages: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

  40635 4478 Pages: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

  26436 2327 Pages: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

  9396 598 Pages:1120-1156

• A Hybrid Numerical Simulation of Supersonic Isotropic Turbulence

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

  2018-09-01

  48156 7081 Pages: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

  45002 3205 Pages:1118-1142

• 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

  49440 3275 Pages: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

  25108 2169 Pages:633-661

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

  Xinyuan Liu, Tao Xiong, Yang Yang

  2025-09-18

  4567 332 Pages:1515-1551

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

  Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu

  2026-01-15

  3282 379 Pages:29-58

• High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

  Yupeng Ren, Zhimin Zhang

  2026-01-18

  828 181 Pages:1059-1102

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

  Matthias Maier, John N. Shadid, Ignacio Tomas

  2023-04-28

  33230 3012 Pages:647-691

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

  Li Chen, Guanghui Hu, Ruo Li

  2018-09-17

  48772 3363 Pages: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

  49140 3227 Pages:1437-1463

• 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

  49555 4331 Pages:60-93 Open-access