output
20102026
most citedHybrid quantum circuits: Superconducting circuits interacting with other quantum systems

1.6k citations

Showing 2020 · math.NAShow all

5 papers · 2 filters

math.NA2020★ 2 cited

Finite Element Calculation of Photonic Band Structures for Frequency Dependent Materials

Wenqiang Xiao, Bo Gong, Jiguang Sun +1

We consider the calculation of the band structure of frequency dependent photonic crystals. The associated eigenvalue problem is nonlinear and it is challenging to develop effectiv…

math.NA2020★ 4 cited

Bayesian Approach to Inverse Time-harmonic Acoustic Scattering from Sound-soft Obstacles with Phaseless Data

Zhipeng Yang, Xinping Gui, Ju Ming +1

This paper concerns the Bayesian approach to inverse acoustic scattering problems of inferring the position and shape of a sound-soft obstacle from phaseless far-field data generat…

math.NA2020★ 4 cited

Implicit bias with Ritz-Galerkin method in understanding deep learning for solving PDEs

Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang +1

This paper aims at studying the difference between Ritz-Galerkin (R-G) method and deep neural network (DNN) method in solving partial differential equations (PDEs) to better unders…

math.NA2020★ 5 cited

Finite Element Approximation of Transmission Eigenvalues for Anisotropic Media

Bo Gong, Jiguang Sun, Tiara Turner +1

The transmission eigenvalue problem arises from the inverse scattering theory for inhomogeneous media and has important applications in many qualitative methods. The problem is pos…

math.NA2020★ 2 cited

A new finite element approach for the Dirichlet eigenvalue problem

Wenqiang Xiao, Bo Gong, Jiguang Sun +1

In this paper, we propose a new finite element approach, which is different than the classic Babuska-Osborn theory, to approximate Dirichlet eigenvalues. The Dirichlet eigenvalue p…