Vol. 36 No. 1 (2024)

Articles

High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu
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28057 1994 Pages:1-29
Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

Gabriella Puppo, Matteo Semplice, Giuseppe Visconti
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26886 1766 Pages:30-70
Convergence Analysis for Over-Parameterized Deep Learning

Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang
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28019 2117 Pages:71-103
Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction

Jingwen Wu, Zhijun Tan
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24193 1732 Pages:104-132
Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise

Xu Yang, Weidong Zhao, Wenju Zhao
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24911 2067 Pages:133-159
Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method

Shing-Ian Huang, Sheng Chang Wu, Tsung-Yu Yang, Chi-Heng Ting, Yi-Jhen Wu, Yang-Yao Niu
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24075 1741 Pages:160-199
AutoAMG($θ$): An Auto-Tuned AMG Method Based on Deep Learning for Strong Threshold

Haifeng Zou, Xiaowen Xu, Chen-Song Zhang, Zeyao Mo
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24615 1815 Pages:200-220
The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem

Xin Liu, Qixuan Song, Yu Gao, Zhangxin Chen
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24357 2277 Pages:221-247
A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems

Jinye Shen, Heng Dai, Weizhang Huang
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24179 1763 Pages:248-273
AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations

Zhenning Cai, Yun Chen, Yana Di, Guanghui Hu, Ruo Li, Wenbin Liu, Heyu Wang, Fanyi Yang, Chengbao Yao, Hongfei Zhan
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25294 2212 Pages:274-318