Vol. 16 No. 1 (2024) | Advances in Applied Mathematics and Mechanics

Vol. 16 No. 1 (2024)

sample issue

Published: 2025-08-04

Articles

A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection

Minqiang Xu, Qingsong Zou

1-23

https://doi.org/10.4208/aamm.OA-2021-0193
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26582 2587
A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

Tao Zhang, Xiaolin Li

24-46

https://doi.org/10.4208/aamm.OA-2022-0019
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26784 2563
A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

Adyllyson H. Nascimento, Eugênio S. Rosa

47-74

https://doi.org/10.4208/aamm.OA-2022-0022
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26513 2290
DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress

Tianyi Hu, Jerry Zhijian Yang, Cheng Yuan

75-100

https://doi.org/10.4208/aamm.OA-2022-0159
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27066 2385
Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend

Bin Li, Haijue Xu, Yuchuan Bai, Ziqing Ji

101-121

https://doi.org/10.4208/aamm.OA-2021-0114
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25099 2318
On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model

Qilong Guo, Pengxin Liu, Chen Li, Dong Sun, Xianxu Yuan

122-145

https://doi.org/10.4208/aamm.OA-2021-0298
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26365 2304
A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

146-163

https://doi.org/10.4208/aamm.OA-2022-0049
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25733 2422
A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu

164-180

https://doi.org/10.4208/aamm.OA-2022-0060
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25833 2231
A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou, Meilan Qiu

181-207

https://doi.org/10.4208/aamm.OA-2022-0085
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26825 2415
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

208-236

https://doi.org/10.4208/aamm.OA-2022-0217
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26521 2307
Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

Alexey Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin, Ye Zhang

237-252

https://doi.org/10.4208/aamm.OA-2023-0020
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30530 2735
Free Vibration of Stiffened Plate with Cracked Stiffeners

Jian Xue, Lihua Chen, Yue Sun, Wei Zhang

253-278

https://doi.org/10.4208/aamm.OA-2021-0186
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26450 2379