Search Results

• Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

  Yong Liu, Qingyuan Liu, Yuan Liu, Chi-Wang Shu, Mengping Zhang

  2019-04-28

  48698 3348 Pages:631-653

• Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

  Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu

  2020-07-30

  41789 3115 Pages:458-486

• Numerical Identification of Nonlocal Potentials in Aggregation

  Yuchen He, Sung Ha Kang, Wenjing Liao, Hao Liu, Yingjie Liu

  2022-09-29

  41662 3327 Pages:638-670

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  42993 3726 Pages:222-258

• Detonation Simulations with a Fifth-Order TENO Scheme

  Haibo Dong, Lin Fu, Fan Zhang, Yu Liu, Jun Liu

  2019-01-10

  49840 4155 Pages:1357-1393

• A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

  Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo

  2018-04-09

  42360 3278 Pages:1231-1257

• Diffusion in Ni-Based Single Crystal Superalloys with Density Functional Theory and Kinetic Monte Carlo Method

  Min Sun, Zi Li, Guo-Zhen Zhu, Wen-Qing Liu, Shao-Hua Liu, Chong-Yu Wang

  2018-04-04

  41507 3223 Pages:603-618

• Quantum Simulation of the Fokker-Planck Equation via Schrödingerization

  Shi Jin, Nana Liu, Yue Yu

  2026-01-18

  704 196 Pages:969-1001

• Derivation of Asymptotic Limiting Equations for Multigroup Anisotropic-Scattering Transport Processes in Optically Thick Regimes

  Weiming Li, Chang Liu, Peng Song

  2026-01-03

  1804 72 Pages:919-940

• RBMD: A Molecular Dynamics Package Enabling to Simulate 10 Million All-Atom Particles in a Single Graphics Processing Unit

  Weihang Gao, Teng Zhao, Yongfa Guo, Jiuyang Liang, Huan Liu, Maoying Luo, Zedong Luo, Wei Qin, Yichao Wang, Qi Zhou, Shi Jin, Zhenli Xu

  2026-01-15

  3345 282 Pages:296-322

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

  Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu

  2026-01-15

  3133 279 Pages: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

  4457 308 Pages:1515-1551

• The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

  Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang

  2025-09-18

  4473 330 Pages:1417-1452

• A Lightweight Data-Driven Model Enhanced Discontinuous Galerkin Method for Rapidly Simulating Transonic Airfoil Flowfields

  Lili Lv, Yiwei Feng, Weixiong Yuan, Liang Xu, Tiegang Liu

  2025-09-05

  3882 377 Pages:1053-1088

• An Improved Modified Ghost Fluid Method for Compressible Multi-Medium Fluid Flows

  Xiaotao Zhang, Chengliang Feng, Changsheng Yu, Yibo Wang, Tiegang Liu

  2024-12-02

  15579 1193 Pages:1339-1377

• A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

  Xinyu Liu, Jie Shen, Xiangxiong Zhang

  2024-12-02

  17072 1376 Pages:1157-1185

• A Genuinely Two-Dimensional Approximate Riemann Solver with Stress Continuity for Hypo-Elastic Solids

  Zhiqiang Zeng, Kui Cao, Chengliang Feng, Yibo Wang, Tiegang Liu

  2024-10-29

  18044 1196 Pages:1113-1155

• A Comparative Study of Two Allen-Cahn Models for Immiscible $N$-Phase Flows by Using a Consistent and Conservative Lattice Boltzmann Method

  Chengjie Zhan, Xi Liu, Zhenhua Chai, Baochang Shi

  2024-10-09

  15342 1275 Pages:850-876

• AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations

  Zhenning Cai, Yun Chen, Yana Di, Guanghui Hu, Ruo Li, Wenbin Liu, Heyu Wang, Fanyi Yang, Chengbao Yao, Hongfei Zhan

  2024-07-29

  25294 2212 Pages:274-318

• The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem

  Xin Liu, Qixuan Song, Yu Gao, Zhangxin Chen

  2024-07-29

  24357 2277 Pages:221-247

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  8966 492 Pages:1383-1416

• A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory

  Long Ju, Peiyao Liu, Bicheng Yan, Jin Bao, Shuyu Sun, Zhaoli Guo

  2025-05-29

  8902 528 Pages:1305-1326

• Towards Translational Invariance of Total Energy with Finite Element Methods for Kohn-Sham Equation

  Gang Bao, Guanghui Hu, Di Liu

  2018-04-03

  41735 4724 Pages:1-23

• Heat Jet Approach for Atomic Simulations at Finite Temperature

  Shaoqiang Tang, Baiyili Liu

  2020-07-30

  39687 3345 Pages:1445-1460

• Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

  Qin Li, Pengxin Liu & Hanxin Zhang

  2020-07-30

  39765 3241 Pages:1417-1444

• 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

  39744 3072 Pages:673-706

• Lattice Boltzmann Simulations of Thermocapillary Motion of Droplets in Microfluidic Channels

  Jonathan Li, Haihu Liu, Nikolaos Ioannou, Yonghao Zhang, Jason M. Reese

  2018-04-02

  41926 3306 Pages:1113-1126