Search Results

• 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

  42401 3301 Pages:1231-1257

• Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains

  N. Anders Petersson, Bjoern Sjoegreen

  2014-10-08

  42674 4139 Pages:913-955

• 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

  3546 367 Pages:296-322

• High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

  Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu

  2024-07-29

  28125 2049 Pages:1-29

• Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

  Meng Li, Yihang Guo, Jingjiang Bi

  2025-08-23

  6444 481 Pages:729-765

• An Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Scheme for Compressible Multi-Material Flows on Adaptive Quadrilateral Meshes

  Xiaolong Zhao, Shicang Song, Xijun Yu, Shijun Zou, Fang Qing

  2024-01-31

  28928 2620 Pages:107-138

• 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

  43060 3778 Pages:222-258

• High-SNR Staining Algorithm for One-Way Wave Equation-Based Modelling and Imaging

  Yaxing Li, Xiaofeng Jia

  2020-06-05

  51580 4616 Pages:187-206

• Computational Optimal Design of Random Rough Surfaces in Thin-Film Solar Cells

  Gang Bao, Yanzhao Cao, Junshan Lin, Hans Werner Van Wyk

  2019-01-10

  47343 3819 Pages:1591-1612

• A Solution Structure-Based Adaptive Approximate (SSAA) Riemann Solver for the Elastic-Perfectly Plastic Solid

  Si Gao, Tiegang Liu

  2018-11-09

  46354 3629 Pages:781-811

• Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

  Wei Zhang, Jiang Yang, Jiwei Zhang, Qiang Du

  2018-04-08

  42278 4917 Pages:16-39 Open-access

• Accurate and Efficient Numerical Methods for Computing Ground States and Dynamics of Dipolar Bose-Einstein Condensates via the Nonuniform FFT

  Weizhu Bao, Qinglin Tang, Yong Zhang

  2020-07-31

  41926 3262 Pages:1141-1166

• A Multigrid Method for Ground State Solution of Bose-Einstein Condensates

  Hehu Xie, Manting Xie

  2018-04-03

  40582 3276 Pages:648-662

• A Unified Fractional-Step, Artificial Compressibility and Pressure-Projection Formulation for Solving the Incompressible Navier-Stokes Equations

  Laszlo Koenoezsy, Dimitris Drikakis

  2014-11-08

  41871 3867 Pages:1135-1180

• A BEM/FEM Coupling Approach for Fluid-Structure Interaction Simulation of Cell Motion

  S. Y. Wang, P. Q. Chen, K. M. Lim, B. C. Khoo

  2010-07-01

  38543 4313 Pages:994-1026

• The Error-Minimization-Based Strategy for Moving Mesh Methods

  Konstantin Lipnikov, Mikhail Shashkov

  2018-03-22

  39811 4270 Pages:53-80

• 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

  4609 357 Pages:1417-1452

• A $p$-Adaptive Treecode Solution of the Poisson Equation in the General Domain

  Zixuan Cui, Lei Yang

  2025-09-18

  4527 428 Pages:1331-1354

• Multiple-Body Collision Algorithms for Computational Simulation of High-Speed Air-Delivered Systems

  Robert E. Harris, Peter A. Liever, Edward A. Luke, Jonathan G. Dudley

  2020-07-30

  40711 3153 Pages:564-593

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

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

  2024-06-14

  28005 1893 Pages:1352-1386

• Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

  Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis

  2023-11-08

  32040 2870 Pages:1133-1176

• A Fast Cartesian Grid-Based Integral Equation Method for Unbounded Interface Problems with Non-Homogeneous Source Terms

  Jiahe Yang, Wenjun Ying

  2023-08-14

  33969 3548 Pages:208-234

• Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

  Walter Boscheri, Michael Dumbser, Elena Gaburro

  2022-07-06

  42379 3776 Pages:259-298

• An Adaptive Modal Discontinuous Galerkin Finite Element Parallel Method Using Unsplit Multi-Axial Perfectly Matched Layer for Seismic Wave Modeling

  Yang Xu, Xiaofei Chen, Wei Zhang, Xiao Pan

  2022-03-30

  54157 3231 Pages:1083-1113

• Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

  Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou

  2021-10-26

  49890 3330 Pages:1474-1498

• Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

  Wei Li, Pengzhan Huang, Yinnian He

  2021-05-25

  49200 3269 Pages:536-566

• Blended Ghost Force Correction Method for 3D Crystalline Defects

  Lidong Fang, Lei Zhang

  2021-02-25

  45142 3220 Pages:1246-1272