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Advances in Applied Mathematics and Mechanics
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  • WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

    Qin Li, Sun Dong, Fengyuan Xu
    2021-11-17
    49385 4068 Pages:1441-1484
  • High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

    Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang
    2020-01-17
    49137 3346 Pages:436-479
  • 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
  • An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes

    Ruo Li, Wei Zhong
    2022-10-24
    43776 3870 Pages:202-243
  • High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

    Junming Duan, Huazhong Tang
    2020-03-06
    141982 5685 Pages:1-29
  • Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods

    Lingfa Kong, Yidao Dong, Wei Liu
    2024-07-22
    31446 2389 Pages:1056-1103
  • 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
  • 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
  • Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

    Xu Wang, Weidong Zhao
    2023-02-24
    38902 3360 Pages:737-768
  • A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

    Zhenming Wang, Jun Zhu, Ning Zhao
    2019-06-24
    44516 3089 Pages:911-941
  • An Improved WENO-Z+ Scheme

    Ruo Li, Wei Zhong
    2024-12-02
    17562 1105 Pages:31-68
  • A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

    Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng
    2023-06-21
    37911 3019 Pages:1256-1289
  • 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
  • High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

    Bo Li, Weidong Zhao
    2025-10-14
    4108 288 Pages:322-347
  • Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

    Huimin Ma, Pengzhan Huang
    2025-10-14
    4582 264 Pages:109-113
  • Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

    Qin Li, Qilong Guo, Hanxin Zhang
    2021-07-01
    44930 4414 Pages:809-824
  • A New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes

    Shengzhu Cui, Zhanjing Tao, Jun Zhu
    2022-06-13
    43391 3533 Pages:1059-1086
  • 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
  • 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
  • A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

    Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng
    2023-04-11
    38006 3131 Pages:1076-1108
  • High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao
    2021-04-13
    44910 3214 Pages:827-849
  • Second-Order Schemes for Fokker-Planck Equations with Discontinuous Drift

    Boya Zhang, Yaming Chen, Songhe Song
    2018-09-17
    44849 3101 Pages:343-361
  • Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes

    Wensheng Zhang, Atish Kumar Joardar, Fei Wu
    2024-07-22
    26221 2349 Pages:1121-1151
  • A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

    Adyllyson H. Nascimento, EugĂȘnio S. Rosa
    2023-12-21
    26519 2291 Pages:47-74
  • High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

    Xuenan Zhao, Jing An, Juan Zhang
    2025-11-28
    93 3
  • A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

    Can Li, Weihua Deng
    2018-05-05
    42130 3001 Pages:282-306
  • 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
1 - 27 of 80 items
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