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Advances in Applied Mathematics and Mechanics
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  • Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

    Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao
    2021-07-01
    56294 4549 Pages:1418-1439
  • A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

    Yixiao Ge, Ting Tan, Jing An
    2020-04-10
    46140 3294 Pages:815-834
  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    13959 1026 Pages:207-223
  • Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow

    Zejing Hu, M. N. Smirnova, N. N. Smirnov, Yongliang Zhang, Zuojin Zhu
    2023-06-21
    36315 2910 Pages:1315-1334
  • On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models

    Xiaoting Gan, Junfeng Yin, Rui Li
    2023-06-21
    36721 2917 Pages:1290-1314
  • Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

    Xiaojing Xu, Xiaoping Xie
    2018-05-05
    41886 3036 Pages:324-348
  • Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

    Leilei Wei, Yinnian He, Xindong Zhang
    2018-05-05
    41538 3117 Pages:510-527
  • Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation

    Hao Yuan, Xiaoping Xie
    2022-01-24
    41880 3326 Pages:344-364
  • Unconditional Optimal Error Estimates for the Transient Navier-Stokes Equations with Damping

    Minghao Li, Zhenzhen Li, Dongyang Shi
    2021-11-18
    47685 4241 Pages:248-274
  • A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

    Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang
    2023-12-21
    25738 2422 Pages:146-163
  • On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method

    Abderrachid Hamrani, Idir Belaidi, Eric Monteiro, Philippe Lorong
    2018-05-05
    43918 4527 Pages:43-72
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

    Huajun Zhu, Songhe Song, Yaming Chen
    2021-07-01
    41152 4191 Pages:663-688
  • Fluid-Structure Interaction Simulation of Heart Valve Flows by a Hybrid Immersed-Boundary/Body-Fitted-Grid Method

    Jingyang Wang, Chunhua Zhou, Zhendong Xu
    2025-07-19
    7507 460 Pages:1456-1480
  • Modelling and Numerical Valuation of Power Derivatives in Energy Markets

    Mai Huong Nguyen, Matthias Ehrhardt
    2012-04-01
    41156 5064 Pages:259-293 Open-access
  • On a Large Time-Stepping Method for the Swift-Hohenberg Equation

    Zhengru Zhang, Yuanzi Ma
    2021-07-01
    44078 4146 Pages:992-1003
  • Direct Numerical Simulations of Self-Sustained Oscillations in Two-Dimensional Open Cavity for Subsonic and Supersonic Flow

    Yong Luo, Hu Li, Shuaibin Han, Shuhai Zhang
    2021-04-13
    44530 3137 Pages:942-965
  • A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

    Shichao Yi, Hongguang Sun
    2019-01-04
    46429 4416 Pages:197-215
  • An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows

    Z. X. Meng, S. Z. Li, K. Peng, W. H. Zhang
    2019-01-04
    47040 5066 Pages:72-90
  • Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

    Yundan Zhao, Rong An
    2025-05-12
    8540 499 Pages:1063-1087
  • Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method

    Raheleh Sharifi, Mostafa Varmazyar, Arash Mohammadi
    2024-01-04
    26551 2298 Pages:519-548
  • An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory

    Ting Wang, Jie Zhou, Guanghui Hu
    2023-02-24
    38988 3734 Pages:719-736 Open-access
  • Large Eddy Simulation of Flow over a Cylinder Using High-Order Spectral Difference Method

    Abrar H. Mohammad, Z. J. Wang, Chunlei Liang
    2019-02-13
    40172 3835 Pages:451-466
  • Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

    Liyong Zhu
    2018-05-05
    43341 4664 Pages:157-172
  • A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

    Kosuke Abe, Nobuyuki Higashimori, Masayoshi Kubo, Hiroshi Fujiwara, Yuusuke Iso
    2014-06-01
    43914 4242 Pages:693-698
  • Numerical Approximation of Oscillatory Solutions of Hyperbolic-Elliptic Systems of Conservation Laws by Multiresolution Schemes

    Stefan Berres, Raimund Bürger, Alice Kozakevicius
    2018-08-10
    40107 4028 Pages:581-614
  • A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

    Jinxin Wu, Han Liu, Zuoli Xiao
    2019-04-16
    49472 3181 Pages:583-597
82 - 108 of 174 items
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