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Advances in Applied Mathematics and Mechanics
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  • 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
  • Robust and Globally Divergence-Free Weak Galerkin Methods for Oseen Equations

    Lingxia Kong, Ya Min, Minfu Feng, Xiaoyu Fu
    2025-10-29
    4471 125 Pages:411-433
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

    Chunlong Sun, Gongsheng Li, Xianzheng Jia
    2021-07-01
    42043 3600 Pages:1525-1546
  • A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations

    Shuang Geng, Tongmao Li, Qiongwei Ye, Xiaofeng Yang
    2021-11-18
    49505 4107 Pages:101-124
  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    13959 1026 Pages:207-223
  • Transient Waves Due to Mechanical Loads in Elasto-Thermo-Diffusive Solids

    J. N. Sharma, N. K. Sharma, K. K. Sharma
    2011-03-01
    41649 4658 Pages:87-108
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    41914 2908 Pages:393-406
  • Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

    Liyong Zhu
    2018-05-05
    43341 4664 Pages:157-172
  • 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 Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems

    Juan Zhang, Jiabin Song, Huanzhen Chen
    2023-02-24
    38911 3284 Pages:568-582
  • Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

    Alexey Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin, Ye Zhang
    2023-12-21
    30534 2736 Pages:237-252
  • A Modified Weak Galerkin Method for Stokes Equations

    Li Zhang, Minfu Feng, Jian Zhang
    2019-06-24
    43704 3188 Pages:890-910
  • Mathematical Models for the Propagation of Stress Waves in Elastic Rods: Exact Solutions and Numerical Simulation

    H. M. Tenkam, M. Shatalov, I. Fedotov, R. Anguelov
    2018-05-05
    40828 3046 Pages:257-270
  • Modification of Multiple Knot $B$-Spline Wavelet for Solving (Partially) Dirichlet Boundary Value Problem

    Fatemeh Pourakbari, Ali Tavakoli
    2021-07-01
    43537 4445 Pages:799-820
  • On the Selection of a Good Shape Parameter of the Localized Method of Approximated Particular Solutions

    Hui Zheng, Guangming Yao, Lei-Hsin Kuo, Xinxiang Li
    2018-09-17
    49279 3589 Pages:896-911
  • Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel

    Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt
    2025-07-19
    7426 463 Pages:1481-1508
  • Vortex Capturing Using PNS-WENO Schemes in Uniform and Non Uniform Mesh Formulations

    Demian De Feo, Ning Qin, Trevor J. Birch
    2019-02-13
    41351 4386 Pages:399-429
  • The Variational Iteration Method for an Inverse Problem of Finding a Source Parameter

    Zongli Ma, Shumin Li
    2018-05-05
    42109 2982 Pages:861-867
  • The Collocation Method and the Splitting Extrapolation for the First Kind of Boundary Integral Equations on Polygonal Regions

    Li Wang
    2012-04-01
    40893 4166 Pages:603-616
  • 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
1 - 21 of 21 items
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