Search Results

• A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations

  Yufen Zhou, Xueshang Feng, Fang Shen, Liping Yang, Man Zhang

  2025-08-08

  4623 509 Pages:348-374

• 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 1888 Pages:1352-1386

• 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

  28544 2085 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

  35122 2695 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

  28925 2617 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

  31490 2528 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

  34702 2699 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

  33189 2779 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

  32039 2870 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

  34826 2871 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

  35465 2862 Pages:713-748

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

  François Dubois, Pierre Lallemand

  2023-10-07

  34705 2746 Pages:613-671

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

  Liang Xu, Tiegang Liu

  2023-10-07

  36263 3014 Pages:563-612

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

  Zhicheng Hu, Guanghan Li

  2023-09-04

  33059 2776 Pages:357-391

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  33862 3444 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

  33224 3389 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

  33352 3423 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

  36494 2927 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

  35856 2860 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

  32697 2970 Pages:849-883

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

  Wai Ming Chau, Shingyu Leung

  2023-04-28

  32487 2888 Pages:824-848

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32922 3086 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

  41320 3496 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

  44246 3656 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

  44824 3924 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

  43106 3393 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

  301463 3401 Pages:547-582