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• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70584 3841 Pages:1707-1745

• The Multidomain Hybrid Discontinuous Galerkin Method and Finite Difference Method for Solving Compressible Navier-Stokes Equations on Hybrid Meshes

  Weixiong Yuan, Tiegang Liu, Bin Zhang, Mengyu Li, Kun Wang

  2025-09-18

  4584 356 Pages:1417-1452

• Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods

  Ossian O'Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham

  2020-07-30

  40495 3106 Pages:337-370

• Comparison of Finite Difference and Mixed Finite Element Methods for Perfectly Matched Layer Models

  V. A. Bokil, M. W. Buksas

  2007-02-01

  38789 4026 Pages:806-826

• 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

  49141 3224 Pages:851-873

• A Tailored Finite Point Method for Solving Steady MHD Duct Flow Problems with Boundary Layers

  Po-Wen Hsieh, Yintzer Shih, Suh-Yuh Yang

  2011-10-01

  39347 4440 Pages:161-182

• A Moving Mesh Finite Difference Method for Non-Monotone Solutions of Non-Equilibrium Equations in Porous Media

  Hong Zhang, Paul Andries Zegeling

  2017-10-02

  43963 3291 Pages:935-964

• High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

  Kun Wang, Jian Cheng, Tiegang Liu

  2019-01-10

  47529 3945 Pages:1413-1445

• Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

  Yong Zhang

  2013-05-05

  41128 4165 Pages:1357-1388

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

  Weiyi Wang, Zhijun Tan

  2021-04-30

  49248 4953842 Pages:227-254

• A Hybrid FETD-FDTD Method with Nonconforming Meshes

  Bao Zhu, Jiefu Chen, Wanxie Zhong, Qing Huo Liu

  2011-03-05

  39195 4122 Pages:828-842

• 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

  36490 2925 Pages:1090-1105

• A Fully Implicit Finite Volume Lattice Boltzmann Method for Turbulent Flows

  Fatih Cevik, Kahraman Albayrak

  2018-04-09

  42313 3410 Pages:393-421

• A Two-Phase Flow Simulation of Discrete-Fractured Media Using Mimetic Finite Difference Method

  Zhaoqin Huang, Xia Yan, Jun Yao

  2014-12-08

  39612 4339 Pages:799-816

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32917 3085 Pages:764-794

• 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

  47366 3376 Pages:1530-1574

• Boundary Integral Modelling of Elastic Wave Propagation in Multi-Layered 2D Media with Irregular Interfaces

  Enru Liu, Zhongjie Zhang, Jianghua Yue, Andy Dobson

  2008-01-02

  40345 4202 Pages:52-62

• A Constrained Level Set Method for Simulating the Formation of Liquid Bridges

  Dongdong He, Huaxiong Huang

  2020-07-31

  38764 3956 Pages:577-594

• A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

  Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu

  2026-02-15

  4065 196 Pages:387-416

• A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries

  Alina Chertock, Armando Coco, Alexander Kurganov, Giovanni Russo

  2018-07-03

  47450 5538 Pages:230-263

• Super-Grid Modeling of the Elastic Wave Equation in Semi-Bounded Domains

  N. Anders Petersson, Bjoern Sjoegreen

  2014-10-08

  42671 4134 Pages:913-955

• Direct Vlasov Solvers with High-Order Spectral Element Method

  Jin Xu, Brahim Mustapha, Peter Ostroumov, Jerry Nolen

  2010-08-01

  39617 4620 Pages:159-184

• Numerical Simulation of Power-Law Fluid Flow in a Trapezoidal Cavity Using the Incompressible Finite-Difference Lattice Boltzmann Method

  Xinmeng Chen, Zhenhua Chai, Yong Zhao, Baochang Shi

  2025-09-05

  3735 385 Pages:1173-1209

• A Finite Element Method for Modelling Electromechanical Wave Propagation in Anisotropic Piezoelectric Media

  S. Rahman, H. P. Langtangen, C. H. W. Barnes

  2018-03-24

  39423 3790 Pages:271-292

• A Hybrid Immersed Boundary-Lattice Boltzmann Method for Simulation of Viscoelastic Fluid Flows Interaction with Complex Boundaries

  M. H. Sedaghat, A. A. H. Bagheri, M. M. Shahmardan, M. Norouzi, B. C. Khoo, P. G. Jayathilake

  2021-03-24

  46634 3384 Pages:1411-1445

• The Immersed Interface Method for Non-Smooth Rigid Objects in Incompressible Viscous Flows

  Yang Liu, Sheng Xu

  2020-12-02

  44774 3283 Pages:510-533

• High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

  Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen

  2020-07-30

  40972 3027 Pages:317-336