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Advances in Applied Mathematics and Mechanics
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  • Stability Analysis of a Fully Coupled Implicit Scheme for Inviscid Chemical Non-Equilibrium Flows

    Yu Wang, Jinsheng Cai, Kun Qu
    2021-07-01
    43701 3928 Pages:953-970
  • Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach

    Chunze Zhang, Yongguang Cheng, Shan Huang, Jiayang Wu
    2018-05-05
    44026 4679 Pages:37-51
  • 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
  • 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
  • A Numerical Study of Characteristic Slow-Transient Behavior of a Compressible 2D Gas-Liquid Two-Fluid Model

    H.A. Friis, S. Evje, T. Flåtten
    2018-08-10
    40053 3866 Pages:166-200
  • Modified One-Leg $\theta$-Methods for Linear Neutral Pantograph Equations with Multiple Delay Terms

    Zhixiang Jin, Tingting Qin, Chengjian Zhang
    2025-10-29
    4476 93 Pages:519-536
  • A Mesh Size Scaling Law with Reynolds Number for Large Eddy Simulation in Channel Flow

    Jie Yao, C. J. Teo
    2022-08-08
    266776 4532 Pages:1535-1566
  • Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes

    Qin Li, Pan Yan, Xiao Huang, Yihui Weng, Yancheng You, Yi Duan
    2024-12-31
    13213 1219 Pages:373-406
  • 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
  • WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

    Qin Li, Sun Dong, Fengyuan Xu
    2021-11-17
    49385 4068 Pages:1441-1484
  • A Fast Cascadic Multigrid Method for Direct Finite Difference Discretizations of 3D Biharmonic Equations on Rectangular Domains

    Kejia Pan, Pengde Wang, Jinxuan Wang, Xiaoxin Wu
    2025-10-14
    4525 278 Pages:170-188
  • 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
  • Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations

    Emil Kieri, Gunilla Kreiss, Olof Runborg
    2021-07-01
    42456 4183 Pages:687-714
  • Simulation of Viscous Flows Around a Moving Airfoil by Field Velocity Method with Viscous Flux Correction

    Ning Gu, Zhiliang Lu, Tongqing Guo
    2012-04-01
    41516 4395 Pages:294-310
  • Magnetohydrodynamic Natural Convection in a Rotating Enclosure

    H. Saleh, I. Hashim
    2018-05-05
    41072 3134 Pages:279-292
  • 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
  • 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
  • Differential Quadrature Analysis of Moving Load Problems

    Xinwei Wang, Chunhua Jin
    2018-05-05
    41392 2999 Pages:536-555
  • Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model

    Zhengzheng Yan, Rongliang Chen, Chao Wang, Lei Xu, Jingzhi Li
    2023-02-24
    38246 3224 Pages:769-785
  • Large Eddy Simulation of Flow over a Cylinder Using High-Order Spectral Difference Method

    Abrar H. Mohammad, Z. J. Wang, Chunlei Liang
    2019-02-13
    40172 3835 Pages:451-466
  • A Simple Implementation of the Semi-Lagrangian Level-Set Method

    Weidong Shi, Jian-Jun Xu, Shi Shu
    2018-05-05
    43452 4558 Pages:104-124
  • Transition Flow with an Incompressible Lattice Boltzmann Method

    J. R. Murdock, J. C. Ickes, S. L. Yang
    2018-05-05
    44026 2918 Pages:1271-1288
  • Tailored Finite Point Method for Numerical Solutions of Singular Perturbed Eigenvalue Problems

    Houde Han, Yin-Tzer Shih, Chih-Ching Tsai
    2014-06-01
    51267 4314 Pages:376-402
  • A Stochastic Collocation Method for Delay Differential Equations with Random Input

    Tao Zhou
    2014-06-01
    53679 4619 Pages:403-418 Open-access
  • Wave Interaction with an Emerged Porous Media

    I. Magdalena, S. R. Pudjaprasetya, L. H. Wiryanto
    2014-06-01
    42837 4267 Pages:680-692
  • Rectangular Lattice Boltzmann Equation for Gaseous Microscale Flow

    Junjie Ren, Ping Guo, Zhaoli Guo
    2018-05-05
    40849 2996 Pages:306-330
  • Modeling of Ice-Water Phase Change in Horizontal Annulus Using Modified Enthalpy Method

    Esad Tombarević, Igor Vušanović
    2021-01-21
    43315 4315 Pages:354-369
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