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Vol. 21 No. 5 (2024)
Vol. 21 No. 5 (2024)
Articles
Preface
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331
83
Least-Squares Neural Network (LSNN) Method for Linear Advection-Reaction Equation: Non-Constant Jumps
Zhiqiang Cai, Junpyo Choi, Min Liu
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13223
1083
Pages:609-628
Automated Detection and Characterization of Singularities in Functions Using Neural Networks-From FFT Signals
Zheng Chen, Seulip Lee, Lin Mu
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13440
1054
Pages:629-651
Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation
Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park
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13004
1052
Pages:652-673
How Can Deep Neural Networks Fail Even with Global Optima?
Qingguang Guan
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13087
1021
Pages:674-696
Deep Surrogate Model for Learning Green’s Function Associated with Linear Reaction-Diffusion Operator
Junqing Jia, Lili Ju, Xiaoping Zhang
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13049
1080
Pages:697-715
Parametric Model Reduction with Convolutional Neural Networks
Yumeng Wang, Shiping Zhou, Yanzhi Zhang
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13136
1110
Pages:716-738
Improving the Expressive Power of Deep Neural Networks Through Integral Activation Transform
Zezhong Zhang, Feng Bao, Guannan Zhang
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12943
1095
Pages:739-763
Choice of Interior Penalty Coefficient for Interior Penalty Discontinuous Galerkin Method for Biot’s System by Employing Machine Learning
Sanghyun Lee, Teeratorn Kadeethum, Hamidreza M. Nick
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13357
1127
Pages:764-792
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