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  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    DOI:10.4208/aamm.OA-2023-0071
    14418 1215 pp. 207-223
  • An Adaptive Finite Element Solver for Demagnetization Field Calculation

    Lei Yang, Guanghui Hu
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0236
    48880 3322 pp. 1048-1063
  • Finite Element $θ$-Schemes for the Acoustic Wave Equation

    Samir Karaa
    2018-08-10
    DOI:10.4208/aamm.10-m1018
    42058 4265 pp. 181-203
  • New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

    Yan Zhang, Jun Zhu
    2024-01-04
    DOI:10.4208/aamm.OA-2022-0184
    27093 2497 pp. 459-492
  • A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

    Can Li, Weihua Deng
    2018-05-05
    DOI:10.4208/aamm.2015.m1069
    42371 3066 pp. 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
    DOI:10.4208/aamm.OA-2021-0250
    72022 3126 pp. 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
    DOI:10.4208/aamm.10-m1072
    44207 4988 pp. 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
    DOI:10.4208/aamm.OA-2022-0202
    27663 2890 pp. 608-635
  • A Spectral Split-Step Padé Method for Guided Wave Propagation

    Daniel Walsken, Pavel Petrov, Matthias Ehrhardt
    2026-01-30
    DOI:10.4208/aamm.OA-2025-0179
    998 71 pp. 1602-1615
  • Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations

    Emil Kieri, Gunilla Kreiss, Olof Runborg
    2021-07-01
    DOI:10.4208/aamm.2013.m411
    42665 4247 pp. 687-714
  • Cell-Average Based Neural Network Method for Hunter-Saxton Equations

    Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He
    2024-05-14
    DOI:10.4208/aamm.OA-2022-0278
    26596 2500 pp. 833-859
  • A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes

    Xueying Wen, Yanhui Zhou
    2023-04-11
    DOI:10.4208/aamm.OA-2021-0311
    38036 3260 pp. 901-931
  • Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

    Seakweng Vong, Zhibo Wang
    2014-06-01
    DOI:10.4208/aamm.2014.4.s1
    44461 4686 pp. 419-435
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2026-08-01
    DOI:10.4208/aamm.OA-2024-0056
    1041 96 pp. 1210-1241
  • 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
    DOI:10.4208/aamm.OA-2024-0037
    7393 499 pp. 1591-1624
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2026-04-01
    DOI:10.4208/aamm.OA-2023-0282
    5088 241 pp. 724-755
  • 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
    DOI:10.4208/aamm.OA-2018-0184
    44751 3168 pp. 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
    DOI:10.4208/aamm.OA-2017-0292
    56581 4623 pp. 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
    DOI:10.4208/aamm.OA-2022-0228
    26235 2546 pp. 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
    DOI:10.4208/aamm.OA-2022-0144
    13296 1310 pp. 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
    DOI:10.4208/aamm.OA-2023-0173
    11582 918 pp. 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
    DOI:10.4208/aamm.2014.m811
    42130 4759 pp. 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
    DOI:10.4208/aamm.OA-2022-0247
    36461 3122 pp. 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
    DOI:10.4208/aamm.2015.m1312
    42503 2986 pp. 990-1011
  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    DOI:10.4208/aamm.09-m09S10
    41818 4266 pp. 769-780
  • Multiquadric Finite Difference (MQ-FD) Method and Its Application

    Yong Yuan Shan, Shu Chang, Ning Qin
    2018-08-10
    DOI:10.4208/aamm.09-m0942
    41705 4264 pp. 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
    DOI:10.4208/aamm.10-m1064
    40736 4117 pp. 633-648
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