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Advances in Applied Mathematics and Mechanics
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  • Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

    Kolade M. Owolabi, Abdon Atangana
    2021-07-01
    42738 3879 Pages:1438-1460
  • An Efficient Numerical Method for the Valuation of American Better-of Options Based on the Front-Fixing Transform and the Far Field Truncation

    Xiaowei Pang, Haiming Song, Xiaoshen Wang, Kai Zhang
    2020-06-01
    50659 3412 Pages:902-919
  • Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density

    Xin Zhang, Danxia Wang, Jianwen Zhang, Hongen Jia
    2024-05-14
    25113 2394 Pages:952-979
  • Numerical Simulations of Unsteady Flows from Rarefied Transition to Continuum Using Gas-Kinetic Unified Algorithm

    Junlin Wu, Zhihui Li, Aoping Peng, Xinyu Jiang
    2018-05-05
    41976 3046 Pages:569-596
  • Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

    Huimin Ma, Pengzhan Huang
    2025-10-14
    4582 264 Pages:109-113
  • Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

    Xu Wang, Weidong Zhao
    2023-02-24
    38902 3360 Pages:737-768
  • A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations

    Huayi Huang, Yunqing Huang, Qili Tang
    2023-06-21
    37872 3104 Pages:1142-1165
  • A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

    Can Li, Weihua Deng
    2018-05-05
    42130 3001 Pages:282-306
  • The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics

    Xiaojing Dong, Yinnian He
    2018-05-05
    42144 2997 Pages:775-794
  • Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation

    Hao Yuan, Xiaoping Xie
    2022-01-24
    41880 3326 Pages:344-364
  • A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

    Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji
    2021-06-08
    45031 3067 Pages:1261-1292
  • Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

    Alexey Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin, Ye Zhang
    2023-12-21
    30534 2736 Pages:237-252
  • 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
  • A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems

    Junhong Yue, Yu Wang, Yan Li, Ming Li
    2023-10-11
    31276 2985 Pages:1562-1601
  • Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow

    L. J. Amoreira, P. J. Oliveira
    2019-02-13
    42975 3814 Pages:483-502
  • On the Generation of Instability Tollmien-Schlichting Waves by Free-Stream Turbulence

    Luyu Shen, Changgen Lu
    2018-05-05
    41518 2947 Pages:429-438
  • Nonlinear Vibrations of Two-Span Composite Laminated Plates with Equal and Unequal Subspan Lengths

    Lingchang Meng, Fengming Li
    2021-07-01
    41681 3746 Pages:1485-1505
  • The Plane Waves Method for Numerical Boundary Identification

    A. Karageorghis, D. Lesnic, L. Marin
    2021-07-01
    42570 3974 Pages:1312-1329
  • A Double-Passage Shape Correction Method for Predictions of Unsteady Flow and Aeroelasticity in Turbomachinery

    Tongqing Guo, Di Zhou, Zhiliang Lu
    2018-05-05
    42282 2960 Pages:839-860
  • A Modified Weak Galerkin Method for Stokes Equations

    Li Zhang, Minfu Feng, Jian Zhang
    2019-06-24
    43704 3188 Pages:890-910
  • A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators

    Jiu Ding, Noah H. Rhee
    2018-08-10
    41514 4144 Pages:204-218
  • 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
  • Modeling and Computation of CO2 Allowance Derivatives Under Jump-Diffusion Processes

    Shuhua Zhang, Jing Wang
    2018-05-05
    42501 3023 Pages:827-846
  • A Modified Helmholtz Equation with Impedance Boundary Conditions

    Robert S. Callihan, Aihua W. Wood
    2021-07-01
    43703 4354 Pages:703-718
  • Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

    Na Zhang, Weihua Deng, Yujiang Wu
    2012-04-01
    42409 4603 Pages:496-518
  • 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
  • Finite Element Method Coupling Penalty Method for Flexural Shell Model

    Xiaoqin Shen, Yongjie Xue, Qian Yang, Shengfeng Zhu
    2022-01-24
    42075 3243 Pages:365-385
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