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

1.6k citations

Showing 2019 · math.NAShow all

7 papers · 2 filters

math.NA2019★ 132 cited

Analysis of adaptive BDF2 scheme for diffusion equations

Hong-lin Liao, Zhimin Zhang

The variable two-step backward differentiation formula (BDF2) is revisited via a new theoretical framework using the positive semi-definiteness of BDF2 convolution kernels and a cl…

math.NA2019★ 4 cited

Generalized bounce back boundary condition for the nine velocities two-dimensional lattice Boltzmann scheme

François Dubois, Pierre Lallemand, Mohamed Mahdi Tekitek

In a previous work, we have proposed a method for the analysis of the bounce back boundary condition with the Taylor expansion method in the linear case. In this work two new schem…

math.NA2019★ 9 cited

A Jacobi spectral method for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator

Weizhu Bao, Lizhen Chen, Xiaoyun Jiang +1

We propose a spectral method by using the Jacobi functions for computing eigenvalue gaps and their distribution statistics of the fractional Schrödinger operator (FSO). In the prob…

math.NA2019★ 14 cited

Bayesian Approach to Inverse Time-harmonic Acoustic Scattering with Phaseless Far-field Data

Zhipeng Yang, Xinping Gui, Ju Ming +1

This paper is concerned with inverse acoustic scattering problem of inferring the position and shape of a sound-soft obstacle from phaseless far-field data. We propose the Bayesian…

math.NA2019★ 3 cited

Evaluation of Abramowitz functions in the right half of the complex plane

Zydrunas Gimbutas, Shidong Jiang, Li-Shi Luo

A numerical scheme is developed for the evaluation of Abramowitz functions in the right half of the complex plane. For , the scheme utilizes series expan…

math.NA2019★ 92 cited

Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models

Bingquan Ji, Hong-lin Liao, Yuezheng Gong +1

Adaptive second-order Crank-Nicolson time-stepping methods using the recent scalar auxiliary variable (SAV) approach are developed for the time-fractional Molecular Beam Epitaxial…

math.NA2019

Time-harmonic acoustic scattering from a non-locally perturbed trapezoidal surface

Wangtao Lu, Guanghui Hu

This paper is concerned with acoustic scattering from a sound-soft trapezoidal surface in two dimensions. The trapezoidal surface is supposed to consist of two horizontal half-line…