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Advances in Applied Mathematics and Mechanics
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  • Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response

    Jamal Sakhr, Blaine A. Chronik
    2020-10-20
    49849 4473 Pages:18-57
  • 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
  • A Non-Singular Boundary Element Method for Interactions Between Acoustical Field Sources and Structures

    Qiang Sun
    2023-04-11
    38147 3187 Pages:831-851
  • Discrete Maximum Principle for Poisson Equation with Mixed Boundary Conditions Solved by $hp$-FEM

    Tomáš Vejchodský, Pavel Šolín
    2018-08-10
    40839 4240 Pages:201-214
  • Using Gaussian Eigenfunctions to Solve Boundary Value Problems

    Michael McCourt
    2021-01-13
    42983 4285 Pages:569-594
  • Solving the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Some Parametric Solutions with Applications

    Jamal Sakhr, Blaine A. Chronik
    2018-09-17
    47592 3452 Pages:1025-1056
  • 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
  • A Quadratic Triangular Finite Volume Element Method for a Semilinear Elliptic Equation

    Zhiguang Xiong, Kang Deng
    2018-05-05
    43351 4366 Pages:186-204
  • On the Computations of Gas-Solid Mixture Two-Phase Flow

    D. Zeidan, R. Touma
    2014-06-01
    45857 5179 Pages:49-74
  • Solution of the Magnetohydrodynamics Jeffery-Hamel Flow Equations by the Modified Adomian Decomposition Method

    Lei Lu, Junsheng Duan, Longzhen Fan
    2018-05-05
    41785 3089 Pages:675-686
  • The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number

    Kazufumi Ito, Zhilin Li, Zhonghua Qiao
    2012-04-01
    42637 4647 Pages:21-35
  • Curve Optimization of Tapered Cantilever Beams Under Tip Loads

    Minyi Zhu, Guobin Gong, Jun Xia
    2021-11-17
    49758 4247 Pages:1485-1500
  • Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals

    Wenzhen Qu, Hongwei Gao, Yan Gu
    2021-11-17
    50669 4117 Pages:1398-1417
  • A Pseudo-Stokes Mesh Motion Algorithm

    Luciano Gonçalves Noleto, Manuel N. D. Barcelos Jr., Antonio C. P. Brasil Jr.
    2013-05-01
    41965 4272 Pages:194-211
  • A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems

    Tao Lin, Yanping Lin, Xu Zhang
    2021-01-13
    42468 4124 Pages:548-568
  • ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

    Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang
    2025-09-29
    5014 252 Pages:1841-1866
  • Modified Galerkin Method for Derivative Dependent Fredholm–Hammerstein Integral Equations of Second Kind

    Kapil Kant, Payel Das, Gnaneshwar Nelakanti, Ratish Kumar
    2024-05-14
    25429 2299 Pages:905-926
  • Fluid-Structure Interaction in Microchannel Using Lattice Boltzmann Method and Size-Dependent Beam Element

    V. Esfahanian, E. Dehdashti, A. M. Dehrouyeh-Semnani
    2014-06-01
    42421 4466 Pages:345-358
  • Constructing Separable Non-$2\pi$-Periodic Solutions to the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Theory and Applications

    Jamal Sakhr, Blaine A. Chronik
    2020-04-10
    50195 3206 Pages:694-728
  • An Efficient Semi-Analytical Method to Compute Displacements and Stresses in an Elastic Half-Space with a Hemispherical Pit

    Valeria Boccardo, Eduardo Godoy, Mario Durán
    2018-05-05
    42039 3118 Pages:295-322
  • 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
  • The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

    Zhiyong Xing, Liping Wen
    2019-06-24
    44375 3171 Pages:942-956
  • 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
  • Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

    Limei Li, Alexander Lapin, Shuhua Zhang
    2019-01-11
    44992 3044 Pages:535-558
  • Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

    Eric Ngondiep, Ali H. Tedjani
    2024-11-01
    15403 1374 Pages:1381-1409
  • The Nehari Manifold for a Class of Singular $\psi$-Riemann-Liouville Fractional with $p$-Laplacian Operator Differential Equations

    Samah Horrigue, Mona Alsulami, Bayan Abduallah Alsaeedi
    2024-07-22
    26882 2334 Pages:1104-1120
  • Physics-Informed Deep Learning Method for Surrogate Modeling in Elastic Mechanics

    Dan Li, Xinming Lu, Hongjuan Wang, Guibin Liu, Xin Liu
    2025-05-12
    8360 472 Pages:1239-1258
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