Articles

• 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

  545-567

  https://doi.org/10.4208/aamm.OA-2021-0204

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  38857 3470

• A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems

  Juan Zhang, Jiabin Song, Huanzhen Chen

  568-582

  https://doi.org/10.4208/aamm.OA-2021-0251

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  38902 3283

• A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

  Jun Yang, Nianyu Yi

  583-601

  https://doi.org/10.4208/aamm.OA-2021-0255

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  39934 3424

• Unconditional Superconvergence Analysis of Energy Conserving Finite Element Methods for the Nonlinear Coupled Klein-Gordon Equations

  Ming Cui, Yanfei Li, Changhui Yao

  602-622

  https://doi.org/10.4208/aamm.OA-2021-0261

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  39729 3455

• A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties

  Hamed Panahi-Kalus, Amin Moosaie, Mehrdad Ahmadinejad

  623-650

  https://doi.org/10.4208/aamm.OA-2021-0282

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  37905 3464

• Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients

  Xiaotong Li, Juan Liao, Wei Liu, Zhuo Xing

  651-683

  https://doi.org/10.4208/aamm.OA-2021-0335

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  40066 3362

• Coiflet Wavelet-Homotopy Solutions to Bio-Thermal Convection in a Square Cavity

  Sohail Ahmed, Hang Xu, Qiang Sun

  684-718

  https://doi.org/10.4208/aamm.OA-2021-0345

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  37872 3215

• An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory

  Ting Wang, Jie Zhou, Guanghui Hu

  719-736

  https://doi.org/10.4208/aamm.OA-2021-0363

  [An open-access article; the PDF is free to any online user.]

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  38980 3732

• Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

  Xu Wang, Weidong Zhao

  737-768

  https://doi.org/10.4208/aamm.OA-2022-0073

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  38893 3359

• Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model

  Zhengzheng Yan, Rongliang Chen, Chao Wang, Lei Xu, Jingzhi Li

  769-785

  https://doi.org/10.4208/aamm.OA-2022-0147

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  38237 3222

• A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

  Jialing Wang, Tingchun Wang, Yushun Wang

  786-813

  https://doi.org/10.4208/aamm.OA-2021-0219

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  38109 3192

• Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part I. Solid Heat Conduction

  Shujie Li, Lili Ju

  814-830

  https://doi.org/10.4208/aamm.OA-2021-0359

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  37711 3195