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

  48553 3302 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

  41684 3071 Pages:458-486

• Numerical Identification of Nonlocal Potentials in Aggregation

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

  2022-09-29

  41502 3291 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

  42828 3639 Pages:222-258

• Detonation Simulations with a Fifth-Order TENO Scheme

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

  2019-01-10

  49633 4111 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

  42252 3251 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

  41390 3191 Pages:603-618

• 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

  2025-11-07

  2711 116 Pages:296-322

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

  Rémi Abgrall, Miaosen Jiao, Yongle Liu, Kailiang Wu

  2025-11-07

  2636 149 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

  4142 256 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

  4120 256 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

  3400 334 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

  186 51 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

  205 44 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

  306 58 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

  162 87 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

  166 212 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

  189 466 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

  194 50 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

  183 70 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

  41625 4662 Pages:1-23

• Heat Jet Approach for Atomic Simulations at Finite Temperature

  Shaoqiang Tang & Baiyili Liu

  2020-07-30

  39587 3318 Pages:1445-1460

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

  Qin Li, Pengxin Liu & Hanxin Zhang

  2020-07-30

  68 29 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

  39631 3017 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

  41807 3273 Pages:1113-1126

• An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

  Laiping Zhang, Ming Li, Wei Liu & Xin He

  2018-04-02

  42575 4381 Pages:287-316

• Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

  Chaoqun Liu, Ping Lu, Maria Oliveira & Peng Xie

  2012-11-01

  43862 3066940 Pages:1022-1042