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Advances in Applied Mathematics and Mechanics
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  • A Two-Grid Finite-Volume Method for the Schrödinger Equation

    Hongmei Zhang, Jianghua Yin, Jicheng Jin
    2020-10-20
    49923 4386 Pages:176-190
  • A Novel Immersed Boundary Method Implemented by Imposing Reconstructed Velocity on Virtual Boundary

    Jingyang Wang, Chunhua Zhou
    2020-10-20
    49962 4605 Pages:83-100
  • A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

    Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong
    2020-12-21
    47424 3118 Pages:590-618
  • Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

    Yuzhi Lou, Chuanjun Chen, Guanyu Xue
    2021-04-13
    44330 3201 Pages:892-913
  • Analytical Solution for Vibration of Continuously Varying-Thickness Beams Resting on Pasternak Elastic Foundations

    Zhiyuan Li, Yepeng Xu, Dan Huang
    2021-04-13
    45426 3189 Pages:850-866
  • High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao
    2021-04-13
    44910 3214 Pages:827-849
  • Numerical Schemes for Time-Space Fractional Vibration Equations

    Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang
    2021-04-13
    45507 3160 Pages:806-826
  • A Kernel-Independent Sum-of-Gaussians Method by de la Vallée-Poussin Sums

    Jiuyang Liang, Zixuan Gao, Zhenli Xu
    2021-06-08
    46706 3193 Pages:1126-1141
  • Toward a New Algorithm for Nonlinear Fractional Differential Equations

    Fadi Awawdeh, S. Abbasbandy
    2013-05-01
    41663 4185 Pages:222-234
  • Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

    Qin Li, Qilong Guo, Hanxin Zhang
    2021-07-01
    44930 4414 Pages:809-824
  • Using Gaussian Eigenfunctions to Solve Boundary Value Problems

    Michael McCourt
    2021-01-13
    42983 4285 Pages:569-594
  • Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions

    Bernard Bialecki, Ryan I. Fernandes
    2021-01-13
    42373 4215 Pages:461-476
  • A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

    Luoping Chen, Yanping Chen
    2018-09-17
    44385 3116 Pages:409-423
  • Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

    Liping Zhou, Shi Shu, Haiyuan Yu
    2018-09-17
    43913 3154 Pages:362-389
  • Second-Order Schemes for Fokker-Planck Equations with Discontinuous Drift

    Boya Zhang, Yaming Chen, Songhe Song
    2018-09-17
    44849 3101 Pages:343-361
  • A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids

    Wanglong Qin, Junwei Cai, Hongqiang Lu, Peter K. Jimack, M. A. Walkley
    2018-09-17
    46432 4665 Pages:261-274 Open-access
  • Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations

    Congying Li, Liang Tang, Jie Zhou
    2024-02-29
    27479 2722 Pages:667-691
  • Oversampled Collocation Approximation Method of Functions via Jacobi Frames

    Xianru Chen, Li Lin
    2024-02-29
    27770 2757 Pages:569-588
  • The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems

    Di Li, Min Liu, Xiliang Lu, Jerry Zhijian Yang
    2022-10-24
    44932 3896 Pages:30-48
  • 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
  • New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

    Yan Zhang, Jun Zhu
    2024-01-04
    26800 2430 Pages:459-492
  • Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay

    Chengjian Zhang, Siyi Wang, Changyang Tang
    2024-01-04
    27418 2411 Pages:423-436
  • Application of 2-D GDQ Method to Analysis a Thick FG Rotating Disk with Arbitrarily Variable Thickness and Non-Uniform Boundary Conditions

    Hodais Zharfi
    2024-01-04
    26307 2456 Pages:373-397
  • Numerical Computation of Helical Waves in a Finite Circular Cylinder Using Chebyshev Spectral Method

    Xing-Liang Lyu, Wei-Dong Su
    2024-01-04
    27125 2378 Pages:331-354
  • A Fast Implementation of the Linear Bond-Based Peridynamic Beam Model

    Hao Tian, Xianchu Yang, Chenguang Liu, Guilin Liu
    2024-01-04
    29424 2466 Pages:305-330
  • Free Vibration of Stiffened Plate with Cracked Stiffeners

    Jian Xue, Lihua Chen, Yue Sun, Wei Zhang
    2023-12-21
    26458 2379 Pages:253-278
  • Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

    Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian
    2023-12-21
    26526 2309 Pages:208-236
217 - 243 of 244 items
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