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• Finite Neuron Method and Convergence Analysis

  Jinchao Xu

  2020-11-18

  70207 3742 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

  4120 256 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

  40369 3053 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

  38617 3969 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

  48944 3187 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

  39213 4306 Pages:161-182

• A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

  Wenjun Ying

  2020-07-31

  43976 3204 Pages:1196-1220

• 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

  43823 3233 Pages:935-964

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

  Kun Wang, Jian Cheng & Tiegang Liu

  2019-01-10

  47308 3891 Pages:1413-1445

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

  Yong Zhang

  2013-05-05

  40965 4110 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

  49066 4953679 Pages:227-254

• A Hybrid FETD-FDTD Method with Nonconforming Meshes

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

  2011-03-05

  39021 4076 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

  36233 2866 Pages:1090-1105

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

  Fatih Cevik & Kahraman Albayrak

  2018-04-09

  42164 3338 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

  39419 4258 Pages:799-816

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32699 3018 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

  47125 3309 Pages:1530-1574

• Development of Finite Element Field Solver in Gyrokinetic Toroidal Code

  Hongying Feng, Wenlu Zhang, Zhihong Lin, Xiaohe Zhufu, Jin Xu, Jintao Cao & Ding Li

  2018-09-17

  47538 4817 Pages:655-671 Open-access

• 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

  40185 4070 Pages:52-62

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

  Dongdong He & Huaxiong Huang

  2020-07-31

  38624 3892 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

  2025-11-28

  935 45 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

  47231 5432 Pages:230-263

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

  N. Anders Petersson & Björn Sjögreen

  2014-10-08

  42487 4075 Pages:913-955

• Direct Vlasov Solvers with High-Order Spectral Element Method

  Jin Xu, Brahim Mustapha, Peter Ostroumov & Jerry Nolen

  2010-08-01

  39410 4528 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

  3457 312 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

  39274 3724 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

  46392 3294 Pages:1411-1445