Vol. 1 No. 3 (2020)

Articles

Model Meets Deep Learning in Image Inverse Problems

Na Wang, Jian Sun
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44214 4103 Pages:365-386
On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

Weinan E, Stephan Wojtowytsch
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43820 3820 Pages:387-440
Artificial Regularization Parameter Analysis for the No-Slope-Selection Epitaxial Thin Film Model

Xiangjun Meng, Zhonghua Qiao, Cheng Wang, Zhengru Zhang
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41199 3507 Pages:441-462
A Multilevel Spectral Indicator Method for Eigenvalues of Large Non-Hermitian Matrices

Ruihao Huang, Jiguang Sun, Chao Yang
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40743 3636 Pages:463-477
How to Define Dissipation-Preserving Energy for Time-Fractional Phase-Field Equations

Chaoyu Quan, Tao Tang, Jiang Yang
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43876 3718 Pages:478-490
An Integrated Quadratic Reconstruction for Finite Volume Schemes to Scalar Conservation Laws in Multiple Dimensions

Li Chen, Ruo Li, Feng Yang
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39974 3540 Pages:491-517
Hartley Spectral Pooling for Deep Learning

Hao Zhang, Jianwei Ma
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41572 3764 Pages:518-529
A CIP-FEM for High-Frequency Scattering Problem with the Truncated DtN Boundary Condition

Yonglin Li, Weiying Zheng, Xiaopeng Zhu
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41838 3695 Pages:530-560