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Advances in Applied Mathematics and Mechanics
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  • 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
  • Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients

    Zhiyong Liu, Yinnian He
    2021-07-01
    43524 4154 Pages:1072-1083
  • Two-Level Defect-Correction Method for Steady Navier-Stokes Problem with Friction Boundary Conditions

    An Liu, Yuan Li, Rong An
    2021-07-01
    44595 3859 Pages:932-952
  • Osher Flux with Entropy Fix for Two-Dimensional Euler Equations

    Huajun Zhu, Xiaogang Deng, Meiliang Mao, Huayong Liu, Guohua Tu
    2018-05-05
    41344 2875 Pages:670-692
  • Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

    Huipo Liu, Shuanghu Wang, Hongbin Han
    2018-05-05
    42569 2937 Pages:871-886
  • 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
  • Construction of Non-Equilibrium Gas Distribution Functions Through Expansions in Peculiar Velocity Space

    Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang
    2023-10-11
    30629 2891 Pages:1456-1472
  • A Quadratic Finite Volume Method for Parabolic Problems

    Yuanyuan Zhang, Xiaoping Liu
    2023-10-11
    30374 2698 Pages:1407-1427
  • Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients

    Xiaotong Li, Juan Liao, Wei Liu, Zhuo Xing
    2023-02-24
    40075 3363 Pages:651-683
  • Critical Transition Reynolds Number for the Incompressible Flat-Plate Boundary Layer as Searched by Numerical Simulation

    Yongming Zhang, Di Liu, Ning Li
    2023-04-11
    36578 3079 Pages:1056-1075
  • A-Posteriori Error Estimates for Uniform $p$-Version Finite Element Methods in Square

    Jianwei Zhou, Danping Yang, Yujie Liu
    2018-05-05
    41850 3033 Pages:272-281
  • Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

    Xiong Liu, Yanping Chen
    2021-07-01
    41600 3719 Pages:1506-1524
  • A New Two-Grid Method for Expanded Mixed Finite Element Solution of Nonlinear Reaction Diffusion Equations

    Shang Liu, Yanping Chen
    2018-08-04
    41230 2919 Pages:757-774
  • 1D Exact Elastic-Perfectly Plastic Solid Riemann Solver and Its Multi-Material Application

    Si Gao, Tiegang Liu
    2018-08-04
    41592 3043 Pages:621-650
  • Numerical Investigation of the Coherent Structures and Sound Properties in Sonic Coaxial Jets

    Haitao Shi, Dawei Chen, Pei Wang, Nansheng Liu, Xiyun Lu
    2018-08-04
    42121 3130 Pages:554-573
  • Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction

    Liang Xu, Tiegang Liu
    2014-06-01
    46075 5213 Pages:24-48
  • A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems

    Wanfang Shen, Liang Ge, Danping Yang, Wenbin Liu
    2014-06-01
    42980 4213 Pages:552-569
  • Numerical Approximation of a Nonlinear 3D Heat Radiation Problem

    Liping Liu, Min Huang, Kewei Yuan, Michal Křížek
    2018-08-10
    43623 4857 Pages:125-139
  • The Ghost Cell Method and Its Applications for Inviscid Compressible Flow on Adaptive Tree Cartesian Grids

    Jianming Liu, Ning Zhao, Ou Hu
    2018-08-10
    41404 4658 Pages:664-682
  • On Higher Order Pyramidal Finite Elements

    Liping Liu, Kevin B. Davies, Michal Křížek, Guan Li
    2018-08-10
    41431 4080 Pages:131-140
  • Investigation of HDD Ramp Unloading Processes with an Efficient Scheme

    Yan Liu, Hejun Du
    2021-07-01
    40749 4199 Pages:716-728
  • Mathematical Simulation of Metamaterial Solar Cells

    Jichun Li, Yitung Chen, Yang Liu
    2021-07-01
    41395 4212 Pages:702-715
  • The Modified Ghost Fluid Method Applied to Fluid-Elastic Structure Interaction

    Tiegang Liu, A. W. Chowdhury, Boo Cheong Khoo
    2011-03-01
    39899 3922 Pages:611-632
  • A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems

    Zhiyuan Sun, Jun Liu, Pei Wang
    2020-04-10
    45468 3299 Pages:729-747
  • A Fully Discrete Explicit Multistep Scheme for Solving Coupled Forward Backward Stochastic Differential Equations

    Ying Liu, Yabing Sun, Weidong Zhao
    2020-04-10
    49940 3367 Pages:643-663
  • Performance Comparison on Parallel CPU and GPU Algorithms for Two Dimensional Unified Gas-Kinetic Scheme

    Jizhou Liu, Xiaodong Li, Fang Q. Hu
    2020-07-24
    45365 3237 Pages:1247-1260
  • Error Analysis for a Non-Monotone FEM for a Singularly Perturbed Problem with Two Small Parameters

    Yanping Chen, Haitao Leng, Li-Bin Liu
    2018-03-30
    41656 3155 Pages:196-206
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