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Advances in Applied Mathematics and Mechanics
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  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    41515 4132 Pages:769-780
  • Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations

    Rena Eskar, Xinlong Feng, Pengzhan Huang
    2018-09-17
    47385 3468 Pages:879-895
  • 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
  • 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
  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    13959 1026 Pages:207-223
  • An Adaptive Finite Element Solver for Demagnetization Field Calculation

    Lei Yang, Guanghui Hu
    2019-06-24
    48579 3259 Pages:1048-1063
  • 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
  • Extending Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law to Large Eddy Simulation on Curvilinear Grids

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2018-05-05
    41062 3111 Pages:407-429
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • 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
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • 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
  • 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
  • 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
  • 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 Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

    Meiling Zhao
    2013-05-01
    41591 4231 Pages:235-257
  • A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model

    Dingwen Deng, Ruyu Zhang
    2024-02-29
    27341 2788 Pages:608-635
  • A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

    Adyllyson H. Nascimento, Eugênio S. Rosa
    2023-12-21
    26519 2291 Pages:47-74
  • Cell-Average Based Neural Network Method for Hunter-Saxton Equations

    Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He
    2024-05-14
    26270 2408 Pages:833-859
  • Study of Heat Transfer Control with Magnetic Field Using Higher Order Finite Difference Scheme

    R. Sivakumar, S. Vimala, S. Damodaran, T. V. S. Sekhar
    2018-05-05
    40660 3075 Pages:449-463
  • Interaction of Radiation and Turbulent Natural Convection: A Pseudo-Direct Numerical Study

    Alexander Nee, Ali J. Chamkha
    2022-08-08
    264950 3703 Pages:1567-1586
  • 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
  • The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

    Dan Qin, Kai Fu, Dong Liang
    2025-03-14
    11206 814 Pages:732-757
  • Flow of Newtonian Fluid in Non-Uniform Tubes with Application to Renal Flow: A Numerical Study

    P. Muthu, Tesfahun Berhane
    2011-03-01
    40518 3975 Pages:633-648
  • A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

    Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song
    2019-01-04
    47416 5050 Pages:53-71
  • 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
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