Search Results

• Construction of the High Order Accurate Generalized Finite Difference Schemes for Inviscid Compressible Flows

  Xue-Li Li, Yu-Xin Ren & Wanai Li

  2018-10-11

  46239 3456 Pages:481-507

• Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

  Jun Luo, Lijun Xuan & Kun Xu

  2013-09-05

  40614 4609 Pages:599-620

• High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

  Clarissa Astuto

  2025-05-29

  8899 475 Pages:1327-1357

• A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow

  Xiaolu Gu, Juan Cheng, Chi-Wang Shu

  2023-12-11

  33076 2741 Pages:1177-1214

• High-Order and High Accurate CFD Methods and Their Applications for Complex Grid Problems

  Xiaogang Deng, Meiliang Mao, Guohua Tu, Hanxin Zhang & Yifeng Zhang

  2020-07-31

  40538 4823 Pages:1081-1102 Open-access

• A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations

  Liang Pan & Kun Xu

  2020-07-31

  38526 3047 Pages:985-1011

• The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers

  Chengxiang Li, Xing Ji, Kun Xu, Lian-Ping Wang

  2025-07-11

  5266 571 Pages:37-73

• Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

  Zhongqin Xue, Guanghui Wen, Zhimin Zhang, Xuan Zhao

  2024-06-14

  28384 1992 Pages:1263-1286

• Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

  Tian Liang, Lin Fu

  2024-05-06

  35407 2706 Pages:938-972

• High-Order Unified Gas-Kinetic Scheme

  Gyuha Lim, Yajun Zhu, Kun Xu

  2022-10-28

  45801 3254 Pages:951-979

• A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

  Raphaël Loubère, Michael Dumbser & Steven Diot

  2014-12-08

  39581 3854 Pages:718-763

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

  Minghua Chen & Weihua Deng

  2014-08-03

  42270 4269 Pages:516-540

• High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids

  Y. Sun, Z. J. Wang & Y. Liu

  2018-03-24

  39781 3882 Pages:310-333

• 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

  3822 156 Pages:387-416

• A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh

  Marc R. J. Charest, Clinton P. T. Groth & Pierre Q. Gauthier

  2018-04-02

  37639 3099 Pages:615-656

• High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

  Sébastien Jund, Stéphanie Salmon & Eric Sonnendrücker

  2012-11-01

  42162 3946 Pages:863-892

• High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

  Shangting Li, Huazhong Tang

  2025-08-08

  4598 461 Pages:538-574

• High Order Deep Neural Network for Solving High Frequency Partial Differential Equations

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2022-01-27

  46148 3482 Pages:370-397

• Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction

  Xing Ji, Kun Xu

  2020-06-05

  50006 3378 Pages:539-590

• Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

  Walter Boscheri, Matteo Semplice & Michael Dumbser

  2018-10-11

  46741 3544 Pages:311-346

• High-Order Vertex-Centered U-MUSCL Schemes for Turbulent Flows

  H. Q. Yang & Robert E. Harris

  2018-09-17

  45432 3443 Pages:356-382

• High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

  Manuel A. Diaz, Min-Hung Chen & Jaw-Yen Yang

  2020-07-31

  38285 2942 Pages:1012-1049

• Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

  Andrea Lani, Björn Sjögreen, H. C. Yee & William D. Henshaw

  2018-03-27

  38743 3949 Pages:583-602

• A Compact High Order Space-Time Method for Conservation Laws

  Shuangzhang Tu, Gordon W. Skelton & Qing Pang

  2018-03-27

  37384 3873 Pages:441-480

• Structure-Preserving SAV-RK$s$ Spectral Methods for Nonlinear Hamiltonian System

  Jie Shen, Lianpeng Xue, Qifeng Zhang

  2026-01-03

  1767 120 Pages:661-695

• High-Order Cell-Centered Lagrangian Spectral Volume Method on Curvilinear Meshes

  Lintao Huang, Wenhua Ma, Shuaikang Wang, Yibing Chen

  2025-09-05

  3752 371 Pages:1089-1129

• A New Class of Very-High-Order Finite Difference TENO Schemes with Discontinuity-Resolving Property for Compressible Euler Equations

  Tian Liang, Lin Fu

  2024-10-09

  16850 1209 Pages:618-650