Search Results

• A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Yuanyang Zou, Hao Zhang, Xiaogang Deng

  2024-05-06

  28423 2043 Pages:1120-1154

• A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties

  Philipp Krah, Xi-Yuan Yin, Julius Bergmann, Jean-Christophe Nave, Kai Schneider

  2024-05-06

  34995 2647 Pages:905-937

• 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

  28786 2534 Pages:107-138

• A Multigrid Discretization of Discontinuous Galerkin Method for the Stokes Eigenvalue Problem

  Ling Ling Sun, Hai Bi, Yidu Yang

  2023-12-11

  31397 2499 Pages:1391-1419

• Operator Splitting and Local Time-Stepping Methods for Transport Problems in Fractured Porous Media

  Phuoc-Toan Huynh, Yanzhao Cao, Thi-Thao-Phuong Hoang

  2023-12-11

  34592 2662 Pages:1215-1246

• 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

  33076 2741 Pages:1177-1214

• 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

  31843 2797 Pages:1133-1176

• A Normalizing Field Flow Induced Two-Stage Stochastic Homogenization Method for Random Composite Materials

  Zihao Yang, Xintong Wang, Xiaofei Guan, Jizu Huang, Xixin Wu

  2023-10-07

  34705 2823 Pages:787-812

• Unconditional Bound-Preserving and Energy-Dissipating Finite-Volume Schemes for the Cahn-Hilliard Equation

  Rafael Bailo, José A. Carrillo, Serafim Kalliadasis, Sergio P. Perez

  2023-10-07

  35319 2828 Pages:713-748

• On Single Distribution Lattice Boltzmann Schemes for the Approximation of Navier Stokes Equations

  François Dubois, Pierre Lallemand

  2023-10-07

  34560 2707 Pages:613-671

• Ghost-Fluid-Based Sharp Interface Methods for Multi-Material Dynamics: A Review

  Liang Xu, Tiegang Liu

  2023-10-07

  36127 2959 Pages:563-612

• An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow

  Zhicheng Hu, Guanghan Li

  2023-09-04

  32942 2737 Pages:357-391

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  33711 3342 Pages:173-207

• Random Walk Approximation for Irreversible Drift-Diffusion Process on Manifold: Ergodicity, Unconditional Stability and Convergence

  Yuan Gao, Jian-Guo Liu

  2023-08-14

  33101 3232 Pages:132-172

• Symmetry Preservation by a Compatible Staggered Lagrangian Scheme Using the Control-Volume Discretization Method in $r–z$ Coordinate

  Chunyuan Xu, Qinghong Zeng

  2023-08-14

  33248 3346 Pages:38-64

• An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

  Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai

  2023-05-12

  36361 2889 Pages:1090-1105

• A New Family of Nonconforming Elements with $H$(curl)-Continuity for the 3D Quad-Curl Problem

  Baiju Zhang, Zhimin Zhang

  2023-05-12

  35740 2821 Pages:1069-1089

• Adaptive Multi-Resolution Method for 3D Reactive Flows with Level Set Front Capturing

  Wenhua Ma, Dongmi Luo, Wenjun Ying, Guoxi Ni, Min Xiao, Yibing Chen

  2023-04-28

  32595 2942 Pages:849-883

• Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems

  Wai Ming Chau, Shingyu Leung

  2023-04-28

  32384 2840 Pages:824-848

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32807 3047 Pages:764-794

• Quantum Implementation of Numerical Methods for Convection-Diffusion Equations: Toward Computational Fluid Dynamics

  Bofeng Liu, Lixing Zhu, Zixuan Yang, Guowei He

  2023-03-13

  41178 3454 Pages:425-451

• Lattice Boltzmann Modeling of Cholesteric Liquid Crystal Droplets Under an Oscillatory Electric Field

  F. Fadda, A. Lamura, A. Tiribocchi

  2023-02-20

  44144 3576 Pages:118-143

• Entropic Multi-Relaxation-Time Lattice Boltzmann Model for Large Density Ratio Two-Phase Flows

  S. A. Hosseini, B. Dorschner, I. V. Karlin

  2023-02-20

  44690 3810 Pages:39-56 Open-access

• Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows

  Jian Yu, Deep Ray, Jan S. Hesthaven

  2022-09-29

  43015 3369 Pages:595-637

• A RKDG Method for 2D Lagrangian Ideal Magnetohydrodynamics Equations with Exactly Divergence-Free Magnetic Field

  Shijun Zou, Xiaolong Zhao, Xijun Yu, Zihuan Dai

  2022-08-11

  301354 3352 Pages:547-582

• Solving Time Dependent Fokker-Planck Equations via Temporal Normalizing Flow

  Xiaodong Feng, Li Zeng, Tao Zhou

  2022-08-11

  308875 3566 Pages:401-423

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  307095 3600 Pages:299-335