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Advances in Applied Mathematics and Mechanics
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  • A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

    Zhenming Wang, Jun Zhu, Ning Zhao
    2019-06-24
    44516 3089 Pages:911-941
  • A Treecode Algorithm for 3D Stokeslets and Stresslets

    Lei Wang, Svetlana Tlupova, Robert Krasny
    2019-06-24
    45382 4490 Pages:737-756 Open-access
  • High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

    Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang
    2020-06-01
    50131 3372 Pages:972-991
  • A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems

    Fajie Wang, Chia-Ming Fan, Chuanzeng Zhang, Ji Lin
    2020-06-01
    54035 3430 Pages:940-958
  • 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
  • A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

    Nan Wang, Jinru Chen
    2020-06-01
    48025 3484 Pages:879-901
  • A Variable Correction-Based Immersed Boundary Method for Compressible Flows over Stationary and Moving Bodies

    Junjie Wang, Yadong Li, Jie Wu, Fusheng Qiu
    2020-01-17
    47113 3218 Pages:545-563
  • High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

    Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang
    2020-01-17
    49137 3346 Pages:436-479
  • Computation of Interactional Forces Between Two Submerged Bodies in an Overtaking Maneuver

    Lin Chen, Huaming Wang, Xiaokun Qu, Zhiming Yuan, Qiaorui Wu
    2020-01-17
    46816 3285 Pages:319-335
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    48557 4939 Pages:251-277
  • A Robust Riemann Solver for Multiple Hydro-Elastoplastic Solid Mediums

    Ruo Li, Yanli Wang, Chengbao Yao
    2020-03-06
    48331 4824 Pages:212-250 Open-access
  • The Weak Galerkin Finite Element Method for Solving the Time-Dependent Integro-Differential Equations

    Xiuli Wang, Qilong Zhai, Ran Zhang, Shangyou Zhang
    2020-03-06
    49173 5233 Pages:164-188
  • A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

    Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao
    2020-03-06
    48354 5001 Pages:87-100
  • Anisotropy of the Spectral Structures in Compressible Homogeneous Turbulent Shear Flow

    Zongqiang Ma, Lili Wang, Zuoli Xiao
    2019-04-16
    47504 3049 Pages:723-736
  • Acoustic Mode in Plane Free Mixing Layers

    Wubing Yang, Zhen Gao, Qing Shen, Qiang Wang
    2019-04-16
    48045 3222 Pages:630-639
  • On the Comparison Between Lattice Boltzmann Methods and Spectral Methods for DNS of Incompressible Turbulent Channel Flows on Small Domain Size

    Liren Li, Yipeng Shi, Shengqi Zhang, Lian-Ping Wang, Zhenhua Xia
    2019-04-16
    49862 3243 Pages:598-607
  • Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

    Fangzong Wang, Xiaobing Liao, Xiong Xie
    2018-05-05
    43634 4501 Pages:128-144
  • Coupled MRT Lattice Boltzmann Study of Electrokinetic Mixing of Power-Law Fluids in Microchannels with Heterogeneous Surface Potential

    Xuguang Yang, Lei Wang, Baochang Shi
    2021-07-01
    45935 3944 Pages:1478-1496
  • A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44063 4798 Pages:242-260
  • Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

    Yanfang Lei, Hongtao Wang, Zhiyong Si
    2018-09-17
    42995 2894 Pages:767-784
  • A FEM for Solving Two-Dimensional Nonlinear Elliptic-Parabolic Interface Problems with Nonhomogeneous Jump Conditions

    Liqun Wang, Songming Hou, Liwei Shi
    2018-09-17
    43586 2971 Pages:752-766
  • Quadrotor Convergence Trajectory Optimization Model Based on Minimum Energy Consumption

    Biao Zhang, Peng Xiao, Hongliang Liu, Mingyue Ma, Qian Wang, Zhi Mao
    2018-09-17
    45497 3143 Pages:673-689
  • Adjoint-Based Adaptive Isogeometric Discontinuous Galerkin Method for Euler Equations

    Shengjiao Yu, Renzhong Feng, Huiqiang Yue, Zheng Wang, Tiegang Liu
    2018-09-17
    44540 3165 Pages:652-672
  • A New High-Order Conservative Patched Grid Strategy Based on Collapsed Edge

    Yidao Dong, Xiaogang Deng, Yaming Chen, Xu Dan, Guangxue Wang
    2018-09-17
    44318 3017 Pages:611-633
  • Modeling Oil-Water Two-Phase Flow Behavior of a Fractured Vertical Well with a Finite-Conductivity Fracture in Triple Media Carbonate Reservoir

    Yong Wang, Chen Zhang, Rui Huang, Haitao Cao, Xin Ma
    2018-09-17
    44545 3072 Pages:581-610
  • Modeling the Nonlinear Oil-Water Two-Phase Flow Behavior for a Multiple-Fractured Horizontal Well in Triple Media Carbonate Reservoir

    Yong Wang, Mingjun Li, Xin Ma, Wubin Gao, Guoqing Xue, Jun Zhou
    2018-09-17
    46387 3404 Pages:998-1024
  • Air Chemical Non-Equilibrium Effects on the Hypersonic Combustion Flow of RCS with Gaseous Ethylene Fuel

    Faming Zhao, Jiangfeng Wang, Xiaofeng Fan, Tianpeng Yang
    2018-09-17
    43834 3021 Pages:1261-1278
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