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Advances in Applied Mathematics and Mechanics
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  • 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
  • Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

    Wansheng Wang, Chengyu Jin, Yi Huang
    2025-03-14
    11037 784 Pages:840-866
  • A High-Efficient Algorithm for Parabolic Problems with Time-Dependent Coefficients

    Chuanmiao Chen, Xiangqi Wang, Hongling Hu
    2018-05-05
    40389 2886 Pages:501-514
  • Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy

    Changhui Yao, Yanfei Li
    2020-12-18
    43303 3150 Pages:481-502
  • Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

    Xiong Liu, Yanping Chen
    2021-07-01
    41600 3719 Pages:1506-1524
  • Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations

    Xinshu Li, Kai Fu
    2022-06-13
    42234 3547 Pages:1087-1110
  • Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method

    Nur Inshirah Naqiah Ismail, Zanariah Abdul Majid, Norazak Senu
    2022-06-13
    42111 3457 Pages:1138-1160
  • 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
  • Two-Phase Image Inpainting: Combine Edge-Fitting with PDE Inpainting

    Meiqing Wang, Chensi Huang, Chao Zeng, Choi-Hong Lai
    2021-07-01
    44446 4413 Pages:769-779
  • Solving Delay Differential Equations Through RBF Collocation

    Francisco Bernal, Gail Gutierrez
    2018-08-10
    40939 3956 Pages:257-272
  • Lattice Boltzmann and Finite Volume Simulation of Inviscid Compressible Flows with Curved Boundary

    Kun Qu, Shu Chang, Yong Tian Chew
    2021-01-25
    40671 4124 Pages:573-586
  • A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

    Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu
    2023-12-21
    25840 2233 Pages:164-180
  • Modified One-Leg $\theta$-Methods for Linear Neutral Pantograph Equations with Multiple Delay Terms

    Zhixiang Jin, Tingting Qin, Chengjian Zhang
    2025-10-29
    4476 93 Pages:519-536
  • Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material

    Zengtao Chen, Fajie Wang
    2022-10-24
    44410 4281 Pages:182-201
  • Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations

    Haidong Yu, Xiaobo Quan, Haipeng Wei, Matevž Dular, Song Fu
    2024-02-29
    28841 2721 Pages:771-804
  • The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

    Kai Fu, Zhaohui Liu, Jiansong Zhang
    2025-11-22
    175 5
  • A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

    Hongbo Guan, Wen Liu, Yong Yang
    2025-11-22
    158 3
  • Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect

    Changhui Yao, Dongyang Shi, Mengmeng Hou
    2020-03-06
    48073 4953 Pages:141-163
  • Convergence Analysis on Stochastic Collocation Methods for the Linear Schrödinger Equation with Random Inputs

    Zhizhang Wu, Zhongyi Huang
    2020-03-06
    49303 4736 Pages:30-56
  • The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

    Rooholah Abedian
    2025-05-12
    8325 494 Pages:1275-1309
  • Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

    Xingfa Yang, Yin Yang, Yanping Chen, Jie Liu
    2021-07-01
    47168 4083 Pages:1440-1458
  • 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
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I: Basic Formulations and Performance Evaluation

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44110 3110 Pages:255-284
  • Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping

    Huaijun Yang, Lele Wang, Xin Liao
    2024-11-01
    15169 1359 Pages:1502-1518
  • A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

    Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma
    2024-11-01
    15838 1410 Pages:1358-1380
  • High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

    Yue Liu, Zhen Gao, Peng Li, Yaguang Gu
    2024-12-31
    12913 1204 Pages:554-579
  • On the Double-Step PIV Algorithm of Wall-Bounded Flows

    Yiding Zhu
    2019-04-16
    48080 3135 Pages:675-685
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