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Advances in Applied Mathematics and Mechanics
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  • Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

    Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan
    2024-12-31
    13202 1211 Pages:489-516
  • Numerical Method for the Time Fractional Fokker-Planck Equation

    Xue-Nian Cao, Jiang-Li Fu, Hu Huang
    2021-07-01
    42765 4207 Pages:848-863
  • Modifying and Reducing Numerical Dissipation in a Two-Dimensional Central-Upwind Scheme

    Chi-Jer Yu, Chii-Tung Liu
    2012-04-01
    40575 4241 Pages:340-353
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    270062 3707 Pages:1477-1508
  • 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 Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem

    Mengyue Wu, Wenbao Ai, Jianhua Yuan, Hui Tian
    2022-02-25
    48661 3417 Pages:596-621
  • A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions

    Jen-Yi Chang, Ru-Yun Chen, Chia-Cheng Tsai
    2022-02-25
    48964 3320 Pages:577-595
  • Convergence Analysis of a Global-in-Time Iterative Decoupled Algorithm for Biot’s Model

    Huipeng Gu, Mingchao Cai, Jingzhi Li
    2025-03-14
    11091 781 Pages:778-803
  • 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
  • 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
  • Nonconforming Finite Element Methods for Two-Dimensional Linearly Elastic Shallow Shell Model

    Rongfang Wu, Xiaoqin Shen, Dongyang Shi, Jiaping Yu
    2024-01-04
    26935 2325 Pages:493-518
  • Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations

    Ming Cui, Yanfei Li, Changhui Yao
    2023-02-24
    39737 3456 Pages:602-622
  • Optimal Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method and Exponential Time Differencing Schemes for the Thin Film Epitaxy Problem Without Slope Selection

    Danni Zhang, Ruihan Guo
    2023-02-24
    38866 3471 Pages:545-567
  • Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions

    Yan Gu, Ji Lin, Chia-Ming Fan
    2023-04-11
    39649 3295 Pages:880-900
  • Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

    Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang
    2023-06-21
    37945 3118 Pages:1233-1255
  • Novel Conformal Structure-Preserving Algorithms for Coupled Damped Nonlinear Schrödinger System

    Hao Fu, Weien Zhou, Xu Qian, Songhe Song
    2021-07-01
    42752 3868 Pages:1383-1403
  • A Mortar Method Using Nonconforming and Mixed Finite Elements for the Coupled Stokes-Darcy Model

    Peiqi Huang, Jinru Chen, Mingchao Cai
    2018-08-04
    41731 3059 Pages:596-620
  • Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

    Qi Hong, Yushun Wang, Qikui Du
    2018-05-05
    45435 3049 Pages:1206-1224
  • A Layer-Integrated Model of Solute Transport in Heterogeneous Media

    Hung-En Chen, Hui-Ping Lee, Shih-Wei Chiang, Tung-Lin Tsai, Jinn-Chuang Yang
    2021-07-01
    43780 4383 Pages:699-717
  • Multiscale Basis Functions for Singular Perturbation on Adaptively Graded Meshes

    Mei-Ling Sun, Shan Jiang
    2014-06-01
    42445 4117 Pages:604-614
  • A Front-Tracking Method for Motion by Mean Curvature with Surfactant

    Ming-Chih Lai, Che-Wei Hsu, Huaxiong Huang
    2018-08-10
    39535 3888 Pages:288-300
  • A Note on the GMRES Method for Linear Discrete Ill-Posed Problems

    Nao Kuroiwa, Takashi Nodera
    2021-07-01
    40655 4015 Pages:816-829
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • LWDG Method for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway

    Tiantian Sun, Jianxian Qiu
    2018-08-10
    40536 4006 Pages:438-450
  • A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators

    Jiu Ding, Noah H. Rhee
    2018-08-10
    41514 4144 Pages:204-218
  • Multi-Symplectic Wavelet Collocation Method for Maxwell's Equations

    Huajun Zhu, Songhe Song, Yaming Chen
    2021-07-01
    41152 4191 Pages:663-688
  • Spectral Element Discretization of the Stokes Equations in Deformed Axisymmetric Geometries

    Zakaria Belhachmi, Andreas Karageorghis
    2011-03-01
    41438 4093 Pages:448-469
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