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Advances in Applied Mathematics and Mechanics
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  • An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

    Huanying Bian, Yedan Shen, Guanghui Hu
    2021-11-17
    49444 3990 Pages:1418-1440
  • Explicit High Order One-Step Methods for Decoupled Forward Backward Stochastic Differential Equations

    Quan Zhou, Yabing Sun
    2021-11-17
    49878 4002 Pages:1293-1317
  • Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities

    Hongliang Liu, Jingwen Song, Huini Liu, Jie Xu, Lijuan Li
    2020-10-20
    54001 4823 Pages:101-118
  • 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
  • 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
  • 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
  • Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations

    Shi Shu, Menghuan Liu, Xiaowen Xu, Xiaoqiang Yue, Shengguo Li
    2021-06-08
    45160 3187 Pages:1203-1226
  • Two-Grid Finite-Element Method for the Two-Dimensional Time-Dependent Schrödinger Equation

    Hongmei Zhang, Jicheng Jin, Jianyun Wang
    2013-05-01
    41675 4285 Pages:180-193
  • A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

    Weishan Zheng, Yanping Chen
    2013-05-01
    41644 4167 Pages:131-145
  • Conservative and Finite Volume Methods for the Convection-Dominated Pricing Problem

    Germán I. Ramírez-Espinoza, Matthias Ehrhardt
    2021-07-01
    44429 4739 Pages:759-790
  • Two-Level Stabilized Finite Volume Methods for the Stationary Navier-Stokes Equations

    Tong Zhang, Shunwei Xu
    2018-08-10
    43577 4797 Pages:19-35
  • A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

    M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler
    2013-05-01
    41874 4684 Pages:269-308
  • The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions

    B. Bialecki, G. Fairweather, J. C. Lόpez-Marcos
    2021-01-13
    42988 4234 Pages:442-460
  • A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    13925 1012 Pages:350-372
  • Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

    Yuan Li, Xuewei Cui
    2024-12-02
    13939 1092 Pages:263-294
  • The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    13935 1022 Pages:240-262
  • The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation

    Ting Zhang, Shuqi Cui, Ning Hong, Baochang Shi
    2024-12-02
    14127 1029 Pages:224-239
  • Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

    Wangbo Luo, Yanxiang Zhao
    2024-12-02
    17311 1077 Pages:69-103
  • 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
  • A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

    Luoping Chen, Yanping Chen
    2018-09-17
    44385 3116 Pages:409-423
  • Optimum Design of Structures for Earthquake Induced Loading by Genetic Algorithm Using Wavelet Transform

    Ali Heidari
    2010-02-01
    42491 4502 Pages:107-117
  • An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes

    Ruo Li, Wei Zhong
    2022-10-24
    43776 3870 Pages:202-243
  • SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions

    Changhui Yao, Zhaoyue Du, Lei Yang
    2022-10-24
    44586 4058 Pages:139-158
  • Deep Domain Decomposition Methods: Helmholtz Equation

    Wuyang Li, Ziming Wang, Tao Cui, Yingxiang Xu, Xueshuang Xiang
    2022-10-24
    45802 4407 Pages:118-138
  • Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

    Shan Zhang, Zihao Yang, Xiaofei Guan
    2022-10-24
    43819 3859 Pages:69-93
217 - 243 of 249 items
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