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• High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations

  Shujiang Tang

  2024-05-14

  25085 2340 Pages:980-1008

• Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

  Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs

  2021-07-01

  43243 4292 Pages:719-736

• A Class of Robust Low Dissipation Nested Multi-Resolution WENO Schemes for Solving Hyperbolic Conservation Laws

  Zhenming Wang, Jun Zhu, Yuchen Yang, Linlin Tian, Ning Zhao

  2021-06-08

  45960 3170 Pages:1064-1095

• A Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

  Ke Zhang, Yiqing Shen

  2025-09-29

  2298 44 Pages:1761-1788

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law III: Characteristic-Wise Hybrid Method

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2022-01-24

  41301 3235 Pages:415-441

• A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

  Xiaohua Zhang, Shengfeng Wang

  2025-10-29

  4500 129 Pages:482-518

• High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

  Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang

  2020-06-01

  50131 3372 Pages:972-991

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  45031 3067 Pages:1261-1292

• Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

  Zijin Zhu, Xiaoyan Hu, Guoxi Ni

  2022-12-13

  39824 3065 Pages:428-449

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2019-01-11

  44148 3112 Pages:285-311

• A Straightforward $hp$-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods

  Hongqiang Lu, Qiang Sun

  2014-06-01

  44541 4935 Pages:135-144

• An Improved WENO-Z+ Scheme

  Ruo Li, Wei Zhong

  2024-12-02

  17562 1105 Pages:31-68

• High-Resolution Upwind Strategy for the MLS Method with Applications to Convection Dominated Diffusion Problems

  Xueying Zhang, Nuoya Cui, Yangjiong Wu

  2025-07-19

  7507 501 Pages:1353-1369

• Effect of Nonuniform Grids on High-Order Finite Difference Method

  Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong

  2018-05-05

  40777 2846 Pages:1012-1034

• A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

  Lijie Ji, Yanlai Chen, Zhenli Xu

  2019-06-24

  46360 3206 Pages:1200-1218

• A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

  Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu

  2021-07-01

  48037 4043 Pages:1416-1437

• A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

  Wei Gao, Yang Liu, Bin Cao, Hong Li

  2012-04-01

  41216 4342 Pages:617-635

• Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

  Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang

  2025-09-29

  5129 302 Pages:1591-1624

• Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes

  Qin Li, Pan Yan, Xiao Huang, Yihui Weng, Yancheng You, Yi Duan

  2024-12-31

  13213 1219 Pages:373-406

• Osher Flux with Entropy Fix for Two-Dimensional Euler Equations

  Huajun Zhu, Xiaogang Deng, Meiliang Mao, Huayong Liu, Guohua Tu

  2018-05-05

  41344 2875 Pages:670-692

• Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

  Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li

  2023-10-11

  71719 3037 Pages:1379-1406

• A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

  Uttam Singh Rajput, Krishna Mohan Singh

  2021-11-18

  49800 4422 Pages:275-298

• Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

  Meiliang Mao, Yi Jiang, Xiaogang Deng, Huayong Liu

  2018-05-05

  41457 3093 Pages:236-256

• A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

  Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song

  2018-09-17

  47079 6152 Pages:114-137

• A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver

  Shide Tan, Haizhuan Yuan, Lijun Hu

  2024-11-01

  16349 1456 Pages:1297-1327

• Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

  Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang

  2025-03-14

  11235 796 Pages:804-839

• Vortex Capturing Using PNS-WENO Schemes in Uniform and Non Uniform Mesh Formulations

  Demian De Feo, Ning Qin, Trevor J. Birch

  2019-02-13

  41351 4386 Pages:399-429