1,187 research outputs found
DS_10.1177_0022034518811642 – Supplemental material for High-Frequency Ultrasound Imaging for Examination of Early Dental Caries
No full textSupplemental material, DS_10.1177_0022034518811642 for High-Frequency Ultrasound Imaging for Examination of Early Dental Caries by J. Kim, T.J. Shin, H.J. Kong, J.Y. Hwang and H.K. Hyun in Journal of Dental Research</p
The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the Deep Neural Network Approach
No full textThe model reduction of a mesoscopic kinetic dynamics to a macroscopic continuum dynamics has been one of the fundamental questions in mathematical physics since Hilbert's time. In this paper, we consider a diagram of the diffusion limit from the Vlasov-Poisson-Fokker-Planck (VPFP) system on a bounded interval with the specular reflection boundary condition to the Poisson-Nernst-Planck (PNP) system with the no-flux boundary condition. We provide a Deep Learning algorithm to simulate the VPFP system and the PNP system by computing the time-asymptotic behaviors of the solution and the physical quantities. We analyze the convergence of the neural network solution of the VPFP system to that of the PNP system via the Asymptotic-Preserving (AP) scheme. Also, we provide several theoretical evidence that the Deep Neural Network (DNN) solutions to the VPFP and the PNP systems converge to the a priori classical solutions of each system if the total loss function vanishes.11Ysciescopu
IEEE 802.11-based wireless mesh network testbed
No full textThis research was supported by the MIC (Ministry of Information and Communication), Korea, under the ITRC (Information Technology Research Center) support program
supervised by the IITA (Institute of Information Technology Assessment)
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