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06/24/2021
Optimal Control, Numerics, and Applications of Fractional PDEs
This article provides a brief review of recent developments on two nonlo...
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06/23/2021
Non-diffusive Variational Problems with Distributional and Weak Gradient Constraints
In this paper, we consider non-diffusive variational problems with mixed...
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04/01/2021
Novel DNNs for Stiff ODEs with Applications to Chemically Reacting Flows
Chemically reacting flows are common in engineering, such as hypersonic ...
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02/08/2021
Novel Deep neural networks for solving Bayesian statistical inverse
We consider the simulation of Bayesian statistical inverse problems gove...
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04/20/2020
Moreau-Yosida regularization for optimal control of fractional PDEs with state constraints: parabolic case
This paper considers optimal control of fractional parabolic PDEs with b...
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04/01/2020
Fractional Deep Neural Network via Constrained Optimization
This paper introduces a novel algorithmic framework for a deep neural ne...
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12/10/2019