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Advances in Applied Mathematics and Mechanics
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  • A Novel Construction of Distribution Function Through Second-Order Polynomial Approximation in Terms of Particle Mass, Momentum and Energy

    Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang
    2024-02-29
    27368 2583 Pages:738-770
  • A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

    Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang
    2023-12-21
    25738 2422 Pages:146-163
  • 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
  • Energy Conservative Local Discontinuous Galerkin Methods for the Euler-Korteweg Equations

    Xiangyi Meng, Yan Xu, J. J. W. Van der Vegt
    2025-10-14
    4535 261 Pages:134-169
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • The Second-Order Mass-Conservative Characteristic Finite Difference Method for Sobolev Equation with Convection Term

    Kai Fu, Zhaohui Liu, Jiansong Zhang
    2025-11-22
    175 5
  • A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

    Hongbo Guan, Wen Liu, Yong Yang
    2025-11-22
    158 3
  • On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense

    Ozgur Yildirim
    2025-11-22
    197 2
  • High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales

    Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang
    2020-01-17
    46799 3152 Pages:599-642
  • A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems

    Yuanyuan Zhang, Min Yang
    2020-01-17
    45129 3229 Pages:564-578
  • A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

    Jinxin Wu, Han Liu, Zuoli Xiao
    2019-04-16
    49472 3181 Pages:583-597
  • A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

    Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun
    2018-05-05
    44347 4626 Pages:104-116
  • An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

    Changfeng Li, Yirang Yuan, Huailing Song
    2021-07-01
    46374 3884 Pages:1384-1417
  • A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

    Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song
    2018-09-17
    47079 6152 Pages:114-137
  • Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements

    Gang Chen, Minfu Feng
    2018-09-17
    45747 5360 Pages:77-99
  • A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids

    Jian Cheng, Huiqiang Yue, Shengjiao Yu, Tiegang Liu
    2018-09-17
    47338 5285 Pages:1-21
  • Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

    Weishan Zheng, Yanping Chen, Yunqing Huang
    2019-01-11
    43871 3106 Pages:486-500
  • A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

    Shimin Chai, Yongkui Zou, Wenju Zhao
    2019-01-11
    44443 3061 Pages:467-485
  • 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
  • A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients

    Yurun Wang, Huiling Su, Fei Liu
    2024-11-01
    15220 1379 Pages:1549-1568
  • A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

    Yufang Gao, Shengxiang Chang, Changna Lu
    2024-11-01
    15116 1370 Pages:1451-1473
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • Lattice Boltzmann Model for a Class of Viscous Wave Equation

    Qianhuan Li, Zhenhua Chai, Baochang Shi
    2024-12-31
    12947 1183 Pages:440-453
  • 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
  • High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

    Hongqiang Lu, Kai Cao, Lechao Bian, Yizhao Wu
    2018-05-05
    41710 2926 Pages:693-702
  • Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

    Xu Wang, Weidong Zhao
    2023-02-24
    38902 3360 Pages:737-768
  • Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow

    Zejing Hu, M. N. Smirnova, N. N. Smirnov, Yongliang Zhang, Zuojin Zhu
    2023-06-21
    36315 2910 Pages:1315-1334
82 - 108 of 414 items
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