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Advances in Applied Mathematics and Mechanics
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  • 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
  • An Effective $\ell_p$-Nonconvex Regularization Method for Image Smoothing

    Biao Fang, Xiao-Guang Lv, Guo-Liang Zhu, Le Jiang, Jia-Qi Mei
    2025-10-14
    4144 266 Pages:267-295
  • HAM-Schrödingerisation: A Generic Framework of Quantum Simulation for Any Nonlinear PDEs

    Shijun Liao
    2025-10-14
    4813 338 Pages:1-10
  • A Discrete Collocation Technique using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    2025-11-22
    169 2
  • A Treecode Algorithm for 3D Stokeslets and Stresslets

    Lei Wang, Svetlana Tlupova, Robert Krasny
    2019-06-24
    45382 4490 Pages:737-756 Open-access
  • High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales

    Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang
    2020-01-17
    46799 3152 Pages:599-642
  • On the Double-Step PIV Algorithm of Wall-Bounded Flows

    Yiding Zhu
    2019-04-16
    48080 3135 Pages:675-685
  • Numerical Simulation of Hose Whip Phenomenon in Hose-Drogue Aerial Refueling

    Lele Chen, Xueqiang Liu, Ning Qin
    2018-09-17
    45635 3143 Pages:517-528
  • A Generalized Local Grid Refinement Approach for Modeling of Multi-Physicochemical Transports by Lattice Boltzmann Method

    Amer Alizadeh, Moran Wang
    2019-01-11
    45285 4577 Pages:312-337 Open-access
  • A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

    Lijie Ji, Yanlai Chen, Zhenli Xu
    2019-06-24
    46360 3206 Pages:1200-1218
  • An Adaptive Finite Element Solver for Demagnetization Field Calculation

    Lei Yang, Guanghui Hu
    2019-06-24
    48579 3259 Pages:1048-1063
  • Exact Solutions for Fractional Differential-Difference Equations by (G′/G)-Expansion Method with Modified Riemann-Liouville Derivative

    Ahmet Bekir, Ozkan Guner, Burcu Ayhan, Adem C. Cevikel
    2018-05-05
    40779 3011 Pages:293-305
  • 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 Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State

    Xiang Li, Dong-Jun Ma, Nan-Sheng Liu, Pei Wang
    2022-12-13
    38406 2884 Pages:485-521
  • A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos

    Shijie Qin, Shijun Liao
    2023-06-21
    38149 3023 Pages:1191-1215
  • 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
  • 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 Two-Grid Method for Expanded Mixed Finite Element Solution of Nonlinear Reaction Diffusion Equations

    Shang Liu, Yanping Chen
    2018-08-04
    41230 2919 Pages:757-774
  • Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

    Luoping Chen, Yanping Chen
    2014-06-01
    43685 4639 Pages:203-219
  • Inverse Eigenvalue Problems for Exploring the Dynamics of Systems Biology Models

    James Lu
    2021-07-01
    41056 4155 Pages:711-728
  • On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM

    P. Solin, D. Andrs
    2018-08-10
    43785 4688 Pages:56-68
  • On Convergence of a Least-Squares Kansa's Method for the Modified Helmholtz Equations

    Ting-On Kwok, Leevan Ling
    2018-08-10
    41171 4088 Pages:367-382
  • A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

    Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma
    2020-04-10
    44804 3231 Pages:774-796
  • High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

    Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang
    2020-04-10
    46510 3286 Pages:664-693
  • Damage Identification of Truss Structures Based on Force Method

    Nam-Il Kim, Seunghye Lee, Namshik Ahn, Jaehong Lee
    2018-03-30
    41717 3147 Pages:229-244
  • Implementation of Multi-GPU Based Lattice Boltzmann Method for Flow Through Porous Media

    Changsheng Huang, Baochang Shi, Nanzhong He, Zhenhua Chai
    2018-03-29
    43166 4764 Pages:1-12
  • Numerical Simulations of Unsteady Flows from Rarefied Transition to Continuum Using Gas-Kinetic Unified Algorithm

    Junlin Wu, Zhihui Li, Aoping Peng, Xinyu Jiang
    2018-05-05
    41976 3046 Pages:569-596
28 - 54 of 141 items
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