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Advances in Applied Mathematics and Mechanics
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  • A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model

    Hai-Yan Cao, Zhi-Zhong Sun, Xuan Zhao
    2014-06-01
    42103 4188 Pages:281-298
  • Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle

    Qiumei Huang, Kun Jiang, Jingwei Li
    2022-01-24
    42494 3430 Pages:494-527
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law III: Characteristic-Wise Hybrid Method

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2022-01-24
    41301 3235 Pages:415-441
  • 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
    42639 4315 Pages:728-758
  • A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

    Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang
    2019-06-24
    45405 3243 Pages:1084-1113
  • An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model

    Raimund Bürger, Héctor Torres, Carlos A. Vega
    2019-06-24
    44730 3170 Pages:1022-1047
  • 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
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    44148 3112 Pages:285-311
  • An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

    Yirang Yuan, Changfeng Li, Huailing Song
    2025-03-14
    11184 805 Pages:706-731
  • A Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

    Yonghui Guo, Ruo Li, Chengbao Yao
    2018-05-05
    42489 4559 Pages:187-212 Open-access
  • A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

    Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai
    2018-09-17
    45536 3126 Pages:1069-1089
  • 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
  • A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes

    Moussa Ziggaf, Imad Kissami, Mohamed Boubekeur, Fayssal Benkhaldoun
    2023-06-21
    37328 2971 Pages:1335-1378
  • 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
  • Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model

    Xu Qian, Hao Fu, Songhe Song
    2018-05-05
    42129 3030 Pages:964-989
  • Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

    Zijin Zhu, Xiaoyan Hu, Guoxi Ni
    2022-12-13
    39824 3065 Pages:428-449
  • 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
    41457 3093 Pages:236-256
  • Development and Comparative Studies of Three Non-Free Parameter Lattice Boltzmann Models for Simulation of Compressible Flows

    L. M. Yang, C. Shu, J. Wu
    2012-04-01
    42104 4561 Pages:454-472
  • Solution Reconstruction on Unstructured Tetrahedral Meshes Using P1 -Conservative Interpolation

    Biao Peng, Chunhua Zhou, Junqiang Ai
    2018-05-05
    42362 2971 Pages:847-870
  • A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State

    Xiang Li, Dong-Jun Ma, Nan-Sheng Liu, Pei Wang
    2022-12-13
    38406 2884 Pages:485-521
  • Modifying and Reducing Numerical Dissipation in a Two-Dimensional Central-Upwind Scheme

    Chi-Jer Yu, Chii-Tung Liu
    2012-04-01
    40575 4241 Pages:340-353
  • 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
  • A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

    Jialing Wang, Tingchun Wang, Yushun Wang
    2023-02-24
    38118 3194 Pages:786-813
  • A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

    Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng
    2023-04-11
    38006 3131 Pages:1076-1108
  • Multi-Symplectic Method for the Zakharov-Kuznetsov Equation

    Haochen Li, Jianqiang Sun, Mengzhao Qin
    2018-03-29
    42544 4543 Pages:58-73
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    49484 3268 Pages:1196-1223
  • Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

    Yayun Fu, Hongliang Liu
    2025-05-12
    8359 515 Pages:1088-1110
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