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Advances in Applied Mathematics and Mechanics
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  • 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
  • Finite Element $θ$-Schemes for the Acoustic Wave Equation

    Samir Karaa
    2018-08-10
    41812 4130 Pages:181-203
  • New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

    Yan Zhang, Jun Zhu
    2024-01-04
    26800 2430 Pages:459-492
  • A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

    Can Li, Weihua Deng
    2018-05-05
    42130 3001 Pages:282-306
  • 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
  • Fully HOC Scheme for Mixed Convection Flow in a Lid-Driven Cavity Filled with a Nanofluid

    Dingfang Li, Xiaofeng Wang, Hui Feng
    2018-08-10
    43985 4854 Pages:55-77
  • 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
  • Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations

    Emil Kieri, Gunilla Kreiss, Olof Runborg
    2021-07-01
    42456 4183 Pages:687-714
  • 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
  • A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes

    Xueying Wen, Yanhui Zhou
    2023-04-11
    37763 3178 Pages:901-931
  • Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

    Seakweng Vong, Zhibo Wang
    2014-06-01
    44256 4570 Pages:419-435
  • 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
  • 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
  • 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 New Finite Difference Well-Balanced Mapped Unequal-Sized WENO Scheme for Solving Shallow Water Equations

    Liang Li, Zhenming Wang, Jun Zhu
    2024-07-22
    25910 2462 Pages:1176-1196
  • 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
  • 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
  • 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
  • Influence of the Radial Inertia Effect on the Propagation Law of Stress Waves in Thin-Walled Tubes

    Shitang Cui, Yongliang Zhang
    2023-06-21
    36200 3048 Pages:1216-1232
  • Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

    N. H. Sweilam, M. M. Abou Hasan
    2018-05-05
    42263 2900 Pages:990-1011
  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    41515 4132 Pages:769-780
  • Multiquadric Finite Difference (MQ-FD) Method and Its Application

    Yong Yuan Shan, Shu Chang, Ning Qin
    2018-08-10
    41430 4143 Pages:615-638
  • 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
  • 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
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