Articles

• An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

  Yue Cheng, Tingchun Wang, Boling Guo

  735-760

  https://doi.org/10.4208/aamm.OA-2020-0033

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  62826 4035

• An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model

  Jianping Zhao, Rui Chen, Haiyan Su

  761-790

  https://doi.org/10.4208/aamm.OA-2020-0044

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  46830 3340

• Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

  Peizhen Wang, Dandan Zhang, Wei Yang

  791-805

  https://doi.org/10.4208/aamm.OA-2020-0049

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  44852 3241

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  806-826

  https://doi.org/10.4208/aamm.OA-2020-0066

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  45502 3158

• High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

  Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao

  827-849

  https://doi.org/10.4208/aamm.OA-2020-0138

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  44905 3212

• Analytical Solution for Vibration of Continuously Varying-Thickness Beams Resting on Pasternak Elastic Foundations

  Zhiyuan Li, Yepeng Xu, Dan Huang

  850-866

  https://doi.org/10.4208/aamm.OA-2019-0284

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  45420 3186

• A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

  Danxia Wang, Xingxing Wang, Hongen Jia

  867-891

  https://doi.org/10.4208/aamm.OA-2020-0123

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  44484 3197

• Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

  Yuzhi Lou, Chuanjun Chen, Guanyu Xue

  892-913

  https://doi.org/10.4208/aamm.OA-2020-0064

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  44324 3199

• An Analytical Solution for Nonlinear Vibration Analysis of Functionally Graded Rectangular Plate in Contact with Fluid

  Soheil Hashemi, Ali Asghar Jafari

  914-941

  https://doi.org/10.4208/aamm.OA-2019-0333

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  45470 3152

• Direct Numerical Simulations of Self-Sustained Oscillations in Two-Dimensional Open Cavity for Subsonic and Supersonic Flow

  Yong Luo, Hu Li, Shuaibin Han, Shuhai Zhang

  942-965

  https://doi.org/10.4208/aamm.OA-2020-0232

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  44523 3131

• On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

  Shah Muhammad, Faisal Zaid Duraihem, Wei Chen, Euaggelos E. Zotos

  966-981

  https://doi.org/10.4208/aamm.OA-2020-0264

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  43559 3035

• A Note on the Generating Function Method

  Yonghui Bo, Wenjun Cai, Yushun Wang

  982-1004

  https://doi.org/10.4208/aamm.OA-2020-0286

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  43201 2985