Vol. 13 No. 1 (2021) | Advances in Applied Mathematics and Mechanics

Vol. 13 No. 1 (2021)

open access

Published: 2020-10-20

Articles

Optimization of Identifying Point Pollution Sources for the Convection-Diffusion-Reaction Equations

Yujing Yuan, Dong Liang

1-17
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Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response

Jamal Sakhr, Blaine A. Chronik

18-57
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A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations

Xiaogang Li, Guodong Li, Yongbin Ge

58-82
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A Novel Immersed Boundary Method Implemented by Imposing Reconstructed Velocity on Virtual Boundary

Jingyang Wang, Chunhua Zhou

83-100
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Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities

Hongliang Liu, Jingwen Song, Huini Liu, Jie Xu, Lijuan Li

101-118
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The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions

Mohamed Kara, Salim Mesbahi, Philippe Angot

119-139
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Fast Prediction of Immiscible Two-Phase Displacements in Heterogeneous Porous Media with Convolutional Neural Network

Wei Feng, Haibo Huang

140-162
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Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method

Fen Chen, Bin Zheng, Ji Lin, Wen Chen

163-175
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A Two-Grid Finite-Volume Method for the Schrödinger Equation

Hongmei Zhang, Jianghua Yin, Jicheng Jin

176-190
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FETD Study of the Wave Propagation in Chiral Metamaterials

Lei Yang, Fuhao Liu, Wei Yang

191-202
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An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

Lan Wang, Wenjun Cai, Yushun Wang

203-231
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A Conservative Gradient Discretization Method for Parabolic Equations

Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan

232-260
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