Search Results

• 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

• 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

• 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

• 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

• 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

• 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

• 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

• 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 Unified Gas-Kinetic Scheme

  Gyuha Lim, Yajun Zhu, Kun Xu

  2022-10-28

  45801 3254 Pages:951-979

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

  Na Liu & Huazhong Tang

  2020-07-31

  41442 3944 Pages:911-943

• 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

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

  H. Q. Yang & Robert E. Harris

  2018-09-17

  45432 3443 Pages:356-382

• 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

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5235 749 Pages:181-222

• On False Accuracy Verification of UMUSCL Scheme

  Hiroaki Nishikawa

  2021-08-10

  48528 3188 Pages:1037-1060

• High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

  Jun Zhu, Chi-Wang Shu, Jianxian Qiu

  2021-02-25

  45738 3295 Pages:1030-1058

• Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

  Björn Sjögreen & H. C. Yee

  2018-04-11

  41279 3400 Pages:730-744

• 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 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

• 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

• 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

  27986 1964 Pages:1-29

• 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 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

• 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 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

• 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

  47691 3101 Pages:1150-1184