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

1.6k citations

Showing 2017 · math.NAShow all

7 papers · 2 filters

math.NA2017★ 4 cited

Superconvergence Points For The Spectral Interpolation Of Riesz Fractional Derivatives

Beichuan Deng, Zhimin Zhang, Xuan Zhao

In this paper, superconvergence points are located for the approximation of the Riesz derivative of order using classical Lobatto-type polynomials when and general…

math.NA2017

Acceleration of weak Galerkin methods for the Laplacian eigenvalue problem

Qilong Zhai, Hehu Xie, Ran Zhang +1

Recently, we proposed a weak Galerkin finite element method for the Laplace eigenvalue problem. In this paper, we present two-grid and two-space skills to accelerate the weak Galer…

math.NA2017

An efficient spectral-Galerkin approximation and error analysis for Maxwell transmission eigenvalue problems in spherical geometries

Jing An, zhimin Zhang

We propose and analyze an efficient spectral-Galerkin approximation for the Maxwell transmission eigenvalue problem in spherical geometry. Using a vector spherical harmonic expansi…

math.NA2017★ 2 cited

Superconvergence analysis of linear FEM based on the polynomial preserving recovery and Richardson extrapolation for Helmholtz equation with high wave number

Yu Du, Haijun Wu, Zhimin Zhang

We study superconvergence property of the linear finite element method with the polynomial preserving recovery (PPR) and Richardson extrapolation for the two dimensional Helmholtz…

math.NA2017★ 1 cited

Superconvergence analysis of partially penalized immersed finite element method

Hailong Guo, Xu Yang, Zhimin Zhang

The contribution of this paper contains two parts: first, we prove a supercloseness result for the partially penalized immersed finite element (PPIFE) method in [T. Lin, Y. Lin, an…

math.NA2017★ 365 cited

Numerical Approximations for a three components Cahn-Hilliard phase-field Model based on the Invariant Energy Quadratization method

Xiaofeng Yang, Jia Zhao, Qi Wang +1

How to develop efficient numerical schemes while preserving the energy stability at the discrete level is a challenging issue for the three component Cahn-Hilliard phase-field mode…

math.NA2017★ 23 cited

Superconvergence of immersed finite volume methods for one-dimensional interface problems

Waixiang Cao, Xu Zhang, Zhimin Zhang +1

In this paper, we introduce a class of high order immersed finite volume methods (IFVM) for one-dimensional interface problems. We show the optimal convergence of IFVM in H1 and L2…