Search Results

• High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

  Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu

  2024-07-29

  28122 2048 Pages:1-29

• 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

  4622 508 Pages:348-374

• A Two-Stage Fourth-Order Gas-Kinetic CPR Method for Subsonic Flows on Hexahedral Meshes

  Chao Zhang, Qibing Li, Zhihui Li

  2026-04-03

  181 35 Pages:1620-1643

• High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

  Liang Pan, Kun Xu

  2020-08-27

  49141 3309 Pages:1321-1351

• Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

  Shu-Cun Li, Huazhong Tang

  2021-08-10

  47791 3142 Pages:1150-1184

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

  N. Anders Petersson, Bjoern Sjoegreen

  2014-10-08

  42673 4135 Pages:913-955

• A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

  Na Liu, Huazhong Tang

  2020-07-31

  41541 3992 Pages:911-943

• A Fourth-Order Upwinding Embedded Boundary Method (UEBM) for Maxwell's Equations in Media with Material Interfaces: Part I

  Shaozhong Deng, Wei Cai

  2006-01-01

  38531 3806 Pages:744-764

• Implementation of Finite Difference Weighted Compact Nonlinear Schemes with the Two-Stage Fourth-Order Accurate Temporal Discretization

  Zhiwei He, Fujie Gao, Baolin Tian, Jiequan Li

  2020-05-06

  49890 3699 Pages:1470-1484

• Effect of Geometric Conservation Law on Improving Spatial Accuracy for Finite Difference Schemes on Two-Dimensional Nonsmooth Grids

  Meiliang Mao, Huajun Zhu, Xiaogang Deng, Yaobing Min, Huayong Liu

  2018-04-03

  39788 3103 Pages:673-706

• High-Order Unified Gas-Kinetic Scheme

  Gyuha Lim, Yajun Zhu, Kun Xu

  2022-10-28

  45937 3295 Pages:951-979

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

  Wenjun Ying

  2020-07-31

  44186 3255 Pages:1196-1220

• Improved RBF Collocation Methods for Fourth Order Boundary Value Problems

  C. S. Chen, Andreas Karageorghis, Hui Zheng

  2020-05-06

  50532 3480 Pages:1530-1549

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32922 3086 Pages:764-794

• Numerical Method of Fabric Dynamics Using Front Tracking and Spring Model

  Yan Li, I-Liang Chern, Joung-Dong Kim, Xiaolin Li

  2013-11-05

  40523 4091 Pages:1228-1251

• Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

  Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu

  2021-04-30

  48678 4393 Pages:67-96

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  25116 2160 Pages:498-523

• Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrödinger Equation with Trapped Term

  Jialin Hong, Linghua Kong

  2010-07-01

  39996 3719 Pages:613-630

• Truncation Errors, Exact and Heuristic Stability Analysis of Two-Relaxation-Times Lattice Boltzmann Schemes for Anisotropic Advection-Diffusion Equation

  Irina Ginzburg

  2012-11-01

  39353 4424 Pages:1439-1502

• Constrained Interpolation Profile Conservative Semi-Lagrangian Scheme Based on Third-Order Polynomial Functions and Essentially Non-Oscillatory (CIP-CSL3ENO) Scheme

  Qijie Li, Syazana Omar, Xi Deng, Kensuke Yokoi

  2017-09-02

  41735 3316 Pages:765-788

• Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

  Minghua Chen, Weihua Deng

  2014-08-03

  42384 4326 Pages:516-540

• Wave Propagation Across Acoustic/Biot's Media: A Finite-Difference Method

  Guillaume Chiavassa, Bruno Lombard

  2013-08-05

  43708 4277 Pages:985-1012

• 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

  46643 3270 Pages:472-509

• High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

  Michel Fournie, Alain Rigal

  2011-09-01

  38271 3892 Pages:994-1019

• A BEM/FEM Coupling Approach for Fluid-Structure Interaction Simulation of Cell Motion

  S. Y. Wang, P. Q. Chen, K. M. Lim, B. C. Khoo

  2010-07-01

  38540 4313 Pages:994-1026

• A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations

  Abdullah Shah, Hong Guo, Li Yuan

  2018-04-11

  41645 3527 Pages:712-729

• 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

  50251 3548 Pages:703-728