Search Results

• Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws

  B. Costa, W. S. Don, D. Gottlieb & R. Sendersky

  2006-01-01

  38381 4031 Pages:548-574

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  38426 3996 Pages:449-478

• Energy-Stable Parametric Finite Element Methods for the Generalized Willmore Flow with Axisymmetric Geometry: Closed Surfaces

  Meng Li, Yifei Li

  2025-08-08

  4487 451 Pages:575-602

• High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

  Shangting Li, Huazhong Tang

  2025-08-08

  4598 461 Pages:538-574

• Aerodynamic Performance and Data-Driven Optimization of Flow Past an Inclined Rounded Square Cylinder

  Wentian Song, Jingrun Chen, Wan Cheng, Zhouwang Yang, Xisheng Luo

  2025-08-08

  4530 442 Pages:491-520

• A Physics-Wise Splitting Preconditioner with Selective Relaxation for the Multi-Group Radiation Diffusion Equations in Three Dimensions

  Xiaoqiang Yue, Junbai Hou, Long Yuan, Xiaowen Xu, Shi Shu

  2025-08-08

  4540 430 Pages:467-490

• 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

  4503 458 Pages:348-374

• JefiPIC: A 3-D Full Electromagnetic Particle-in-Cell Simulator Based on Jefimenko’s Equations on GPU

  Jian-Nan Chen, Jun-Jie Zhang, Xue-Ming Li, Hai-Liang Qiao, Yong-Tao Zhao

  2024-06-14

  27994 1792 Pages:1387-1417

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

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

  2024-06-14

  27885 1846 Pages:1352-1386

• A Noise and Vibration Tolerant ResNet for Field Reconstruction with Sparse Sensors

  Han Li, Jialiang Lu, Hongjun Ji, Lizhan Hong, Helin Gong

  2024-06-14

  28218 1800 Pages:1287-1308

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36696 1938 Pages:1155-1193

• Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State

  Menghuo Chen, Yuanqing Wu, Xiaoyu Feng, Shuyu Sun

  2024-05-06

  28881 1965 Pages:973-1002

• A Second-Order Length-Preserving and Unconditionally Energy Stable Rotational Discrete Gradient Method for Oseen-Frank Gradient Flows

  Jie Xu, Xiaotian Yang, Zhiguo Yang

  2024-03-13

  26432 2244 Pages:369-394

• A Threshold Dislocation Dynamics Method

  Xiaoxue Qin, Alfonso H.W. Ngan, Yang Xiang

  2024-03-13

  26202 2277 Pages:273-312

• A Spectral Method for a Fokker-Planck Equation in Neuroscience with Applications in Neuron Networks with Learning Rules

  Pei Zhang, Yanli Wang, Zhennan Zhou

  2024-01-31

  28980 2436 Pages:70-106

• An Adaptive Method Based on Local Dynamic Mode Decomposition for Parametric Dynamical Systems

  Qiuqi Li, Chang Liu, Mengnan Li, Pingwen Zhang

  2024-01-31

  29410 2799 Pages:38-69

• Splitting Physics-Informed Neural Networks for Inferring the Dynamics of Integer- and Fractional-Order Neuron Models

  Simin Shekarpaz, Fanhai Zeng, George Karniadakis

  2024-01-31

  29757 2732 Pages:1-37

• 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

• A Stochastic Gradient Descent Method for Computational Design of Random Rough Surfaces in Solar Cells

  Qiang Li, Gang Bao, Yanzhao Cao, Junshan Lin

  2023-12-11

  31221 2600 Pages:1361-1390

• 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

• Neural Networks with Local Converging Inputs (NNLCI) for Solving Conservation Laws, Part II: 2D Problems

  Haoxiang Huang, Vigor Yang, Yingjie Liu

  2023-11-08

  77084 3664 Pages:907-933

• 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

• The a Priori and a Posteriori Error Estimates for Modified Interior Transmission Eigenvalue Problem in Inverse Scattering

  Yanjun Li, Yidu Yang, Hai Bi

  2023-09-04

  34706 2715 Pages:503-529

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

  Jiahe Yang, Wenjun Ying

  2023-08-14

  33860 3450 Pages:208-234

• A Two-Dimensional Third-Order CESE Scheme for Ideal MHD Equations

  Yufen Zhou, Xueshang Feng

  2023-08-14

  35199 3619 Pages:94-115

• A Sample-Wise Data Driven Control Solver for the Stochastic Optimal Control Problem with Unknown Model Parameters

  Richard Archibald, Feng Bao, Jiongmin Yong

  2023-05-12

  34696 2784 Pages:1132-1163

• Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36140 2956 Pages:992-1034