Search Results

• A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

  Zhijie Du, Huoyuan Duan, Duowei Zhu

  2025-08-23

  6418 437 Pages:887-922

• The Discrete Direct Deconvolution Model in the Large Eddy Simulation of Turbulence

  Ning Chang, Zelong Yuan, Yunpeng Wang, Jianchun Wang

  2025-08-23

  6422 458 Pages:791-849

• 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

• New 3D Benchmark for CFD-Codes Based on Analytical Solution of Spherically-Symmetric Gas Free Expansion

  Maxim Davydov, Olga Stoyanovskaya, Tatiana Savvateeva, Valeriy Snytnikov

  2025-08-08

  4507 445 Pages:439-466

• A Simple Strategy for Multi-Material Diffusion and Its Application to Three-Temperature Multi-Material Flows

  B. Manach-Pérennou, R. Chauvin, S. Guisset, J.-P. Perlat

  2025-07-11

  5281 583 Pages:1-36

• 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 Causality-DeepONet for Causal Responses of Linear Dynamical Systems

  Lizuo Liu, Kamaljyoti Nath, Wei Cai

  2024-06-14

  36253 1846 Pages:1194-1228

• 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

• The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

  Ping Zeng, Guanyu Zhou

  2024-05-06

  27987 2049 Pages:1073-1119

• 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

• Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Mingzhu Zhang, Lijun Yi

  2024-04-10

  24006 2091 Pages:816-858

• An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions

  Junlei Mu, Congshan Zhuo, Qingdian Zhang, Sha Liu, Chengwen Zhong

  2024-04-10

  24700 2089 Pages:662-692

• A Conservative and Positivity-Preserving Method for Solving Anisotropic Diffusion Equations with Deep Learning

  Hui Xie, Li Liu, Chuanlei Zhai, Xuejun Xu, Heng Yong

  2024-03-13

  26287 2282 Pages:467-497

• 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

• 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

• Nonconforming Finite Elements for the −curl∆curl and Brinkman Problems on Cubical Meshes

  Qian Zhang, Min Zhang, Zhimin Zhang

  2023-12-11

  34116 2619 Pages:1332-1360

• Iterative Pure Source Transfer Domain Decomposition Methods for Helmholtz Equations in Heterogeneous Media

  Yu Du, Haijun Wu

  2023-12-11

  33092 2692 Pages:1247-1276

• A Rate of Convergence of Weak Adversarial Neural Networks for the Second Order Parabolic PDEs

  Yuling Jiao, Jerry Zhijian Yang, Cheng Yuan, Junyu Zhou

  2023-10-07

  35482 2884 Pages:813-836

• 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

• A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

  Xi Chen, Alexander Kurganov

  2023-06-06

  37634 2766 Pages:1432-1465

• 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

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32683 3189 Pages:733-763 Open-access

• Hyperbolic Divergence Cleaning in Lattice Boltzmann Magnetohydrodynamics

  Paul J. Dellar

  2023-02-20

  43308 3480 Pages:245-272

• Generalization Error Analysis of Neural Networks with Gradient Based Regularization

  Lingfeng Li, Xue-Cheng Tai, Jiang Yang

  2022-10-28

  45663 3276 Pages:1007-1038

• Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions

  Xiaoqiang Yue, Jianmeng He, Xiaowen Xu, Shi Shu, Libo Wang

  2022-09-29

  41701 3304 Pages:829-849

• A Holomorphic Operator Function Approach for the Transmission Eigenvalue Problem of Elastic Waves

  Yingxia Xi, Xia Ji

  2022-08-11

  301672 3339 Pages:524-546

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

  Xiaodong Feng, Li Zeng, Tao Zhou

  2022-08-11

  308875 3566 Pages:401-423