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Advances in Applied Mathematics and Mechanics
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  • The Plane Waves Method for Numerical Boundary Identification

    A. Karageorghis, D. Lesnic, L. Marin
    2021-07-01
    42570 3974 Pages:1312-1329
  • XFEM for Fracture Analysis in 2D Anisotropic Elasticity

    Honggang Jia, Yufeng Nie, Junlin Li
    2018-05-05
    43954 4836 Pages:125-143
  • On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method

    Abderrachid Hamrani, Idir Belaidi, Eric Monteiro, Philippe Lorong
    2018-05-05
    43918 4527 Pages:43-72
  • A Simplified Lattice Boltzmann Method Without Evolution of Distribution Function

    Z. Chen, C. Shu, Y. Wang, L. M. Yang, D. Tan
    2018-05-05
    44688 5340 Pages:1-22
  • 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
  • Numerical Investigation of the Coherent Structures and Sound Properties in Sonic Coaxial Jets

    Haitao Shi, Dawei Chen, Pei Wang, Nansheng Liu, Xiyun Lu
    2018-08-04
    42121 3130 Pages:554-573
  • 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
  • Finite Element Solution for MHD Flow of Nanofluids with Heat and Mass Transfer Through a Porous Media with Thermal Radiation, Viscous Dissipation and Chemical Reaction Effects

    Shafqat Hussain
    2018-05-05
    42843 3022 Pages:904-923
  • Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation

    Mingzhan Song, Xu Qian, Hong Zhang, Songhe Song
    2018-05-05
    42063 2991 Pages:868-886
  • 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
  • A Meshfree Technique for Numerical Simulation of Reaction-Diffusion Systems in Developmental Biology

    Zahra Jannesari, Mehdi Tatari
    2018-05-05
    45019 3029 Pages:1225-1249
  • 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 Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

    Qiujin Peng
    2018-05-05
    44947 3079 Pages:1162-1188
  • Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

    M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi
    2014-06-01
    43011 4232 Pages:247-260
  • Direct Numerical Simulation of a Freely Falling Thick Disk

    Pan Zhang, Zhenhua Xia, Qingdong Cai
    2019-04-16
    48392 3170 Pages:608-618
  • Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

    Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang
    2025-09-29
    5129 302 Pages:1591-1624
  • 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
  • A Straightforward $hp$-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods

    Hongqiang Lu, Qiang Sun
    2014-06-01
    44541 4935 Pages:135-144
  • An Efficient Dynamic Mesh Generation Method for Complex Multi-Block Structured Grid

    Ding Li, Zhiliang Lu, Tongqing Guo
    2014-06-01
    44982 5082 Pages:120-134
  • Numerical Study of Geometric Multigrid Methods on CPU-GPU Heterogeneous Computers

    Chunsheng Feng, Shi Shu, Jinchao Xu, Chen-Song Zhang
    2014-06-01
    50816 5973 Pages:1-23
  • A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model

    Hai-Yan Cao, Zhi-Zhong Sun, Xuan Zhao
    2014-06-01
    42103 4188 Pages:281-298
  • An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations

    Xiao Tang, Jie Xiong
    2025-09-29
    5065 242 Pages:1682-1714
  • 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
  • Solving Delay Differential Equations Through RBF Collocation

    Francisco Bernal, Gail Gutierrez
    2018-08-10
    40939 3956 Pages:257-272
  • Numerical Simulation of Heat Transfer in Rectangular Microchannel

    Jun Yao, Yufeng Yao, Peter J. Mason, Mayur K. Patel
    2018-08-10
    40804 4014 Pages:231-241
  • 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
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