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  • An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model

    Raimund Bürger, Héctor Torres, Carlos A. Vega
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0189
    44985 3228 pp. 1022-1047
  • A Surrogate Reduced Order Model of the Unsteady Advection Dominant Problems Based on Combination of Deep Autoencoders-LSTM and POD

    Mahdi Kherad, Mohammad Kazem Moayyedi, Faranak Fotouhi
    2024-11-01
    DOI:10.4208/aamm.OA-2022-0163
    16062 1479 pp. 1410-1450
  • Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

    Eric Ngondiep, Ali H. Tedjani
    2024-11-01
    DOI:10.4208/aamm.OA-2023-0040
    15707 1453 pp. 1381-1409
  • Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes

    Wensheng Zhang, Atish Kumar Joardar, Fei Wu
    2024-07-22
    DOI:10.4208/aamm.OA-2023-0063
    26573 2436 pp. 1121-1151
  • 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
  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    DOI:10.4208/aamm.OA-2024-0008
    8930 602 pp. 1111-1132
  • Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

    Meiliang Mao, Yi Jiang, Xiaogang Deng, Huayong Liu
    2018-05-05
    DOI:10.4208/aamm.2014.m459
    41650 3159 pp. 236-256
  • 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
    DOI:10.4208/aamm.2014.m600
    40866 3141 pp. 449-463
  • Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

    Yanhong Bai, Yongke Wu, Xiaoping Xie
    2018-05-05
    DOI:10.4208/aamm.2014.m548
    40966 3150 pp. 399-425
  • The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

    Shanshan Xu, Lin Wang, Wenqiang Wang
    2023-04-11
    DOI:10.4208/aamm.OA-2021-0222
    38791 3310 pp. 852-879
  • Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

    Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang
    2023-06-21
    DOI:10.4208/aamm.OA-2022-0188
    38282 3211 pp. 1233-1255
  • 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
    DOI:10.4208/aamm.09-m0972
    40433 3999 pp. 451-466
  • A Fifth-Order Low-Dissipative Conservative Upwind Compact Scheme Using Centered Stencil

    Conghai Wu, Sujuan Yang, Ning Zhao
    2021-07-01
    DOI:10.4208/aamm.2013.m-s3
    43085 4410 pp. 830-848
  • A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model

    Hai-Yan Cao, Zhi-Zhong Sun, Xuan Zhao
    2014-06-01
    DOI:10.4208/aamm.12-m1295
    42312 4304 pp. 281-298
  • Fourth Order Compact Boundary Value Method for Option Pricing with Jumps

    Spike T. Lee, Hai-Wei Sun
    2021-07-01
    DOI:10.4208/aamm.09-m09S06
    41044 4152 pp. 845-861
  • High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

    Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang
    2020-04-10
    DOI:10.4208/aamm.OA-2019-0115
    46753 3354 pp. 664-693
  • Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations

    Hongling Hu, Chuanmiao Chen
    2018-05-05
    DOI:10.4208/aamm.2014.m615
    42726 3172 pp. 323-337
  • An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

    Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0153
    275934 3794 pp. 1400-1432
  • A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

    Uttam Singh Rajput, Krishna Mohan Singh
    2021-11-18
    DOI:10.4208/aamm.OA-2020-0320
    50154 4623 pp. 275-298
  • A Weak Galerkin Mixed Finite Element Method for Acoustic Wave Equation

    Xi Zhang, Minfu Feng
    2022-04-11
    DOI:10.4208/aamm.OA-2020-0346
    45574 3681 pp. 936-959
  • 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
    DOI:10.4208/aamm.OA-2020-0054
    42396 3552 pp. 1138-1160
  • Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations

    Xinshu Li, Kai Fu
    2022-06-13
    DOI:10.4208/aamm.OA-2021-0051
    42492 3631 pp. 1087-1110
  • A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation

    Fei Teng, Zhendong Luo
    2020-12-18
    DOI:10.4208/aamm.OA-2019-0351
    43593 3299 pp. 355-377
  • An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

    Lan Wang, Wenjun Cai, Yushun Wang
    2020-10-20
    DOI:10.4208/aamm.OA-2019-0308
    49921 4648 pp. 203-231
  • Numerical Schemes for Time-Space Fractional Vibration Equations

    Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang
    2021-04-13
    DOI:10.4208/aamm.OA-2020-0066
    45774 3234 pp. 806-826
  • A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

    Meiling Zhao
    2013-05-01
    DOI:10.4208/aamm.12-m12119
    41803 4394 pp. 235-257
  • A Diffusively Corrected Multiclass Lighthill-Whitham-Richards Traffic Model with Anticipation Lengths and Reaction Times

    Raimund Bürger, Pep Mulet, Luis M. Villada
    2013-05-01
    DOI:10.4208/aamm.2013.m135
    42832 4446 pp. 728-758
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