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Advances in Applied Mathematics and Mechanics
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  • A Novel Immersed Boundary Method Implemented by Imposing Reconstructed Velocity on Virtual Boundary

    Jingyang Wang, Chunhua Zhou
    2020-10-20
    49962 4605 Pages:83-100
  • A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

    Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong
    2020-12-21
    47424 3118 Pages:590-618
  • $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

    Yiying Wang, Yongkui Zou, Shimin Chai
    2020-12-21
    47617 3168 Pages:554-568
  • A Galerkin-Characteristic Finite Element Method for Three-Dimensional Convection-Dominated Problems

    Bassou Khouya, Mofdi El-Amrani, Mohammed Seaid
    2020-12-21
    54431 3248 Pages:503-526
  • On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

    Shah Muhammad, Faisal Zaid Duraihem, Wei Chen, Euaggelos E. Zotos
    2021-04-13
    43566 3037 Pages:966-981
  • Analytical Solution for Vibration of Continuously Varying-Thickness Beams Resting on Pasternak Elastic Foundations

    Zhiyuan Li, Yepeng Xu, Dan Huang
    2021-04-13
    45426 3189 Pages:850-866
  • Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

    Peizhen Wang, Dandan Zhang, Wei Yang
    2021-04-13
    44857 3244 Pages:791-805
  • An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model

    Jianping Zhao, Rui Chen, Haiyan Su
    2021-04-13
    46836 3342 Pages:761-790
  • An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

    Yue Cheng, Tingchun Wang, Boling Guo
    2021-04-13
    62832 4037 Pages:735-760
  • 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
  • Jacobi Spectral Galerkin Methods for a Class of Nonlinear Weakly Singular Volterra Integral Equations

    Kapil Kant, Moumita Mandal, Gnaneshwar Nelakanti
    2021-06-08
    45281 3196 Pages:1227-1260
  • The Plane Wave Methods for the Time-Harmonic Elastic Wave Problems with the Complex Valued Coefficients

    Long Yuan, Shuai Xi, Binlin Zhang
    2021-06-08
    43990 3161 Pages:1169-1202
  • Multiple-Relaxation-Time Lattice Boltzmann Simulation of Magnetic Field Effect on Natural Convection of Non-Newtonian Nanofluid in Rectangular Enclosure

    J. Quader Yuki, Ishan Sen, M. Mahfil Q. Sakib, Preetom Nag, Md. Mamun Molla
    2021-06-08
    46193 3199 Pages:1142-1168
  • A Kernel-Independent Sum-of-Gaussians Method by de la VallĂ©e-Poussin Sums

    Jiuyang Liang, Zixuan Gao, Zhenli Xu
    2021-06-08
    46706 3193 Pages:1126-1141
  • Anderson Acceleration of Nonlinear Solvers for the Stationary Gross-Pitaevskii Equation

    Dominique Forbes, Leo G. Rebholz, Fei Xue
    2021-06-08
    45627 3221 Pages:1096-1125
  • A Class of Robust Low Dissipation Nested Multi-Resolution WENO Schemes for Solving Hyperbolic Conservation Laws

    Zhenming Wang, Jun Zhu, Yuchen Yang, Linlin Tian, Ning Zhao
    2021-06-08
    45960 3170 Pages:1064-1095
  • A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

    Meiling Zhao
    2013-05-01
    41591 4231 Pages:235-257
  • An Error Analysis for the Finite Element Approximation to the Steady-State Poisson-Nernst-Planck Equations

    Ying Yang, Benzhuo Lu
    2018-08-10
    43538 4803 Pages:113-130
  • Free Vibration Analysis of Nanocomposite Plates Reinforced by Graded Carbon Nanotubes Based on First-Order Shear Deformation Plate Theory

    S. Jafari Mehrabadi, B. Sobhaniaragh, V. Pourdonya
    2018-08-10
    43495 4936 Pages:90-112
  • An Efficient Method for the RCS Reduction of Cavities in the Ground Plane

    Xun Lu
    2024-12-02
    14110 1068 Pages:104-122
  • An Improved WENO-Z+ Scheme

    Ruo Li, Wei Zhong
    2024-12-02
    17562 1105 Pages:31-68
  • Immersed Finite Element Method for Eigenvalue Problems in Elasticity

    Seungwoo Lee, Do Young Kwak, Imbo Sim
    2018-09-17
    44692 3092 Pages:424-444
  • Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

    Liping Zhou, Shi Shu, Haiyuan Yu
    2018-09-17
    43913 3154 Pages:362-389
  • Second-Order Schemes for Fokker-Planck Equations with Discontinuous Drift

    Boya Zhang, Yaming Chen, Songhe Song
    2018-09-17
    44849 3101 Pages:343-361
  • On Convergence and Superconvergence of Discontinuous Galerkin Method for Semi-Explicit Index-1 Integro-Differential Algebraic Equations

    Haiyan Zhang, Hui Liang
    2025-09-29
    5000 251 Pages:1867-1894
  • Numerical Study of Natural Convection of Magnetic Fluids in a Cubic Cavity with a Heat Generating Object Inside by the Lattice Boltzmann Method

    Xiao-Dong Niu, Hiroshi Yamaguchi, Xin-Rong Zhang, Keisuke Yoshikawa
    2010-02-01
    42968 4681 Pages:76-85
  • Superconvergence of Rectangular Mixed Finite Element Methods for Constrained Optimal Control Problem

    Yanping Chen, Li Dai, Zuliang Lu
    2010-02-01
    42748 4669 Pages:56-75
460 - 486 of 500 items
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