Search Results

• A Third Order Bound-Preserving Nodal Discontinuous Galerkin Method for Miscible Displacements in Porous Media

  Xinyuan Liu, Tao Xiong, Yang Yang

  2025-09-18

  4566 332 Pages:1515-1551

• Optimal Error Estimation of the Modified Ghost Fluid Method

  Liang Xu, Tiegang Liu

  2010-08-01

  38820 3965 Pages:403-426

• Laplace-Transform Finite Element Solution of Nonlocal and Localized Stochastic Moment Equations of Transport

  Eric Morales-Casique, Shlomo P. Neuman

  2009-06-01

  38515 4188 Pages:131-161

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

  Jian Yu, Deep Ray, Jan S. Hesthaven

  2022-09-29

  43104 3392 Pages:595-637

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40517 3353 Pages:477-510

• Burnett Order Stress and Spatially-Dependent Boundary Conditions for the Lattice Boltzmann Method

  Timothy Reis

  2020-03-06

  52992 5355 Pages:167-197

• High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

  Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu

  2019-08-27

  47367 3377 Pages:1530-1574

• An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

  Jian Cheng, Shengjiao Yu, Huiqiang Yue, Tiegang Liu

  2019-04-28

  47131 3261 Pages:855-879

• On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential

  Xiaofeng Yang, Jia Zhao

  2018-11-09

  50248 3548 Pages:703-728

• A Hybrid Numerical Simulation of Supersonic Isotropic Turbulence

  Luoqin Liu, Jianchun Wang, Yipeng Shi, Shiyi Chen, X. T. He

  2018-09-01

  48155 7080 Pages:189-217

• A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes

  Hui Xie, Xuejun Xu, Chuanlei Zhai, Heng Yong

  2018-09-17

  45204 3588 Pages:1375-1408

• A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

  Jun Yang, Wei Cai, Xiaoping Wu

  2018-04-09

  43262 3364 Pages:1065-1089

• Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

  Wei Zhang, Jiang Yang, Jiwei Zhang, Qiang Du

  2018-04-08

  42274 4915 Pages:16-39 Open-access

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32920 3086 Pages:764-794

• Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

  Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel

  2021-03-24

  45050 3352 Pages:1299-1335

• Numerical Integrators for Dispersion-Managed KdV Equation

  Ying He, Xiaofei Zhao

  2022-03-30

  51281 3211 Pages:1180-1214

• Simulation of Incompressible Free Surface Flow Using the Volume Preserving Level Set Method

  Ching-Hao Yu, Tony Wen-Hann Sheu

  2020-07-31

  38830 3181 Pages:931-956

• A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

  Zhuang Zhao, Yong-Tao Zhang, Yibing Chen, Jianxian Qiu

  2021-07-01

  49144 3225 Pages:851-873

• Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study

  Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch

  2020-12-02

  46640 3270 Pages:472-509

• Improved RBF Collocation Methods for Fourth Order Boundary Value Problems

  C. S. Chen, Andreas Karageorghis, Hui Zheng

  2020-05-06

  50527 3479 Pages:1530-1549

• Stability Analysis for Wave Simulation in 3D Poroelastic Media with the Staggered-Grid Method

  Wensheng Zhang

  2020-06-05

  47873 3269 Pages:743-767

• A Jacobian-Free Newton Krylov Implicit-Explicit Time Integration Method for Incompressible Flow Problems

  Samet Y. Kadioglu, Dana A. Knoll

  2013-05-05

  40142 4396 Pages:1408-1431

• 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

  35600 2925 Pages:813-836

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  49554 4326 Pages:60-93 Open-access

• VPVnet: A Velocity-Pressure-Vorticity Neural Network Method for the Stokes’ Equations under Reduced Regularity

  Yujie Liu, Chao Yang

  2022-03-03

  45622 3272 Pages:739-770

• A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

  Weiyi Wang, Zhijun Tan

  2021-04-30

  49252 4953848 Pages:227-254

• Stable Grid Refinement and Singular Source Discretization for Seismic Wave Simulations

  N. Anders Petersson, Bjoern Sjoegreen

  2010-08-01

  40744 4052 Pages:1074-1110