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Advances in Applied Mathematics and Mechanics
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  • An Improved WENO-Z+ Scheme

    Ruo Li, Wei Zhong
    2024-12-02
    17562 1105 Pages:31-68
  • Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

    Zhikun Tian, Yanping Chen, Jianyun Wang
    2018-09-17
    44905 3095 Pages:468-484
  • Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method

    Ji Lin, Chuanzeng Zhang, Linlin Sun, Jun Lu
    2018-09-17
    56153 3439 Pages:322-342
  • A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems

    Cheng-Shu You, Po-Wen Hsieh, Suh-Yuh Yang
    2022-10-24
    43685 4155 Pages:1-29
  • Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method

    M. Salah, M. S. Matbuly, O. Civalek, Ola Ragb
    2024-01-04
    55158 3150 Pages:437-458
  • Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

    Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian
    2023-12-21
    26526 2309 Pages:208-236
  • Accurate Static and Dynamic Analysis Using Unstructured Meshes for Complicated Geometry Problems

    Guangze Tang, Hong Yang, She Li, Xin Hu, Xiangyang Cui
    2025-09-29
    5035 246 Pages:1813-1840
  • Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

    Jinhua Lu
    2025-09-29
    5015 251 Pages:1715-1741
  • An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations

    Xiao Tang, Jie Xiong
    2025-09-29
    5065 242 Pages:1682-1714
  • Nonlocal Vibration Response of FG Saturated Porous Nanoplate Resting on Elastic Foundation Using Quasi-3D HSDT Theory

    Thanh-Binh Chu, Van-Long Nguyen, Tien-Thinh Le, Minh-Tu Tran, Xuan-Trung Dang
    2025-10-29
    4486 111 Pages:561-600
  • Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

    Shicheng Liu, Xiangyun Meng, Qilong Zhai
    2025-10-14
    4232 265 Pages:348-368
  • The Generalized Riemann Problem for Two-Layer Shallow Water Equations with Two-Velocities

    Shuzhi Liu, Qinglong Zhang
    2025-10-14
    4382 261 Pages:242-266
  • A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

    Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li
    2025-11-28
    93 3
  • A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

    Anh Ha Le, Quan M. Nguyen
    2025-11-22
    185 2
  • Modelling and Computation for the Valuation of Two-Period $R\&D$ Projects by Option Games

    Jiayue Zhang, Junlin Wang, Xinyu Wang
    2019-06-24
    47630 3444 Pages:957-979
  • New Mixed Finite Volume Spaces for Elliptic Problems on Parallelepiped

    Ji Hyun Kim
    2020-06-01
    49441 3373 Pages:959-971
  • Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

    Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun
    2020-01-17
    77695 3570 Pages:503-526
  • Spectral Collocation Method for a Class of Integro-Differential Equations with Erdélyi-Kober Fractional Operator

    M. Toranj-Simin, M. Hadizadeh
    2020-01-17
    55934 3239 Pages:386-406
  • A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity

    Bei Zhang, Jikun Zhao
    2020-03-06
    47150 4826 Pages:278-300
  • Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect

    Changhui Yao, Dongyang Shi, Mengmeng Hou
    2020-03-06
    48073 4953 Pages:141-163
  • 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
  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    43675 4554 Pages:166-186
  • A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics

    Aixia Zhang, Yan Gu, Qingsong Hua, Wen Chen
    2021-07-01
    47486 4211 Pages:1459-1477
  • Nonlinear Free Vibration of Reinforced Skew Plates with SWCNs Due to Finite Strain

    S. Jafari Mehrabadi, S. M. Nodeh Farahani
    2021-07-01
    46031 3873 Pages:1344-1364
  • 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
  • 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
  • A New Fictitious Domain Method for Elliptic Problems with the Third Type Boundary Conditions

    Qiaolin He, Xiaomin Lv
    2018-09-17
    44789 3105 Pages:634-651
217 - 243 of 414 items
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