The paper is structured as follows. First, in Section “Physical modeling”, the basic framework and derivation of the thermochemical non-equilibrium model are provided, along with the details of the one-dimensional numerical experiment conducted in this work. Next, in Sections “Neural operators” ...
A physics-based network architecture model class has been developed by us on the basis of a modification of classical numerical methods for solving ordinary differential equations. The model problem has a parameter at some values for which the phenomenon of stiffness is observed. We consider a ...
Scattering off the QD–cavity system, the single-photon components G(1)(τ) (red points, experiment; red solid line, theoretical model) undergo pulse reshaping and arrive with a larger delay than the two-photon bound states G(2)(τ, τ) (blue points, experiment; blue solid line, ...
During the reduced basis refinement, the PRNN may obtain higher accuracy than the direct reduced-order model based on the Galerkin projection. It is also demonstrated that the PRNN/PINN is orders of magnitude faster than the POD-G during the online stage. The remainder of the paper is ...
We propose an effective framework for computing the prepotential of the topological B-model on a class of local Calabi–Yau geometries related to the circle compactification of five-dimensional\mathcal {N}=1super Yang–Mills theory with simple gauge group. In the simply laced case, we construct...
Physics-Informed Neural Networks (PINN) are neural networks (NNs) that encode model equations, like Partial Differential Equations (PDE), as a component of the neural network itself. PINNs are nowadays used to solve PDEs, fractional equations, integral-differential equations, and stochastic PDEs. Th...
Papers on Model Transfer & Meta-Learning A physics-aware learning architecture with input transfer networks for predictive modeling,Amir Behjat, Chen Zeng, Rahul Rai, Ion Matei, David Doermann, Souma Chowdhury, Applied Soft Computing, 2020. [paper] ...
We found that the disordering model of Al-doped β-boron is similar to one observed in SiB30.17C0.35. In FexB50 the metal fills the tetrahedral positions with the occupancy varying from 50 to 65%. We also studied crystal structures of novel transition metal borides, namely MnB4, FeB4, ...
Fig. 1. Sketch of the magnetic Bose-condensation transition for (a) the XXZ model, Eq. (2) and (b) its bosonic analog, Eq. (3); here m=∑i〈Siz〉/N represents the field-induced magnetization of the system, and n=S − m the density of bosonic quasi-particles. (c) Generic te...
Exact solutions of the Friedmann equation in Standard cosmology and Conformal cosmology are presented. Theoretical curves interpolated the Hubble diagram on latest supernovae are expressed in analytical form. The class of functions in which the concordance model is described is...年份: 1992 ...