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Advances in Applied Mathematics and Mechanics
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  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    118609 5935 Pages:1318-1354
  • Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

    Xiaojun Zhou, Chuanju Xu
    2018-08-04
    42161 3083 Pages:574-595
  • 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
  • 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
  • Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives

    Tomasz Blaszczyk, Mariusz Ciesielski
    2018-05-05
    43760 4998 Pages:173-185
  • 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
  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    8366 513 Pages:1111-1132
  • Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

    Yongxing Hong, Jun Lu, Ji Lin, Wen Chen
    2019-01-04
    46110 4988 Pages:108-131
  • A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

    Adyllyson H. Nascimento, Eugênio S. Rosa
    2023-12-21
    26519 2291 Pages:47-74
  • Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method

    D. B. Dhaigude, Gunvant A. Birajdar
    2014-06-01
    45444 4955 Pages:107-119
  • 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
  • Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials

    Shuainan Liu, Zhuojia Fu, Yan Gu
    2022-02-25
    47675 3308 Pages:759-776
  • 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
  • A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme

    Guanghui Hu, Ruo Li, Xucheng Meng
    2024-01-04
    27984 2638 Pages:279-304
  • On the Computations of Gas-Solid Mixture Two-Phase Flow

    D. Zeidan, R. Touma
    2014-06-01
    45857 5179 Pages:49-74
  • Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

    Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang
    2022-08-08
    292660 4130 Pages:1302-1332
  • Reduction of Numerical Oscillations in Simulating Moving-Boundary Problems by the Local DFD Method

    Yang Zhang, Chunhua Zhou
    2018-05-05
    44064 4462 Pages:145-165
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties

    Hamed Panahi-Kalus, Amin Moosaie, Mehrdad Ahmadinejad
    2023-02-24
    37913 3468 Pages:623-650
  • Similarity Solution for the Synchronous Grouting of Shield Tunnel Under the Vertical Non-Axisymmetric Displacement Boundary Condition

    Jinfeng Zou, Songqing Zuo
    2018-05-05
    42333 4384 Pages:205-232
  • Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method

    Hassan Zakerdoost, Hassan Ghassemi, Mehdi Iranmanesh
    2018-08-04
    42171 3065 Pages:680-697
  • Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions

    K. H. Karlsen, J. D. Towers
    2018-08-04
    42949 4261 Pages:515-542 Open-access
  • A Double-Passage Shape Correction Method for Predictions of Unsteady Flow and Aeroelasticity in Turbomachinery

    Tongqing Guo, Di Zhou, Zhiliang Lu
    2018-05-05
    42282 2960 Pages:839-860
  • The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients

    C. M. Fan, C.S. Chen, J. Monroe
    2018-08-10
    42848 4303 Pages:215-230
  • On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

    Pouria Assari, Mehdi Dehghan
    2019-06-24
    44010 3248 Pages:807-837
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

    Shu-Jie Li, Lili Ju
    2025-03-14
    11078 722 Pages:758-777
  • Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method

    Wenzhen Qu, Wen Chen
    2018-03-29
    43151 4858 Pages:13-30
1 - 27 of 151 items
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