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

1.6k citations

Showing 2015 · math.NAShow all

5 papers · 2 filters

math.NA2015★ 13 cited

Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations

Shidong Jiang, Jiwei Zhang, Qian Zhang +1

We present an efficient algorithm for the evaluation of the Caputo fractional derivative of order , which can be expressed as a convolution of …

math.NA2015★ 43 cited

Superconvergence of Immersed Finite Element Methods for Interface Problems

Waixiang Cao, Xu Zhang, Zhimin Zhang

In this article, we study superconvergence properties of immersed finite element methods for the one dimensional elliptic interface problem. Due to low global regularity of the sol…

math.NA2015★ 57 cited

Error estimates of numerical methods for the nonlinear Dirac equation in the nonrelativistic limit regime

Weizhu Bao, Yongyong Cai, Xiaowei Jia +1

We present several numerical methods and establish their error estimates for the discretization of the nonlinear Dirac equation in the nonrelativistic limit regime, involving a sma…

math.NA2015★ 46 cited

Numerical methods and comparison for the Dirac equation in the nonrelativistic limit regime

Weizhu Bao, Yongyong Cai, Xiaowei Jiao +1

We analyze rigorously error estimates and compare numerically spatial/temporal resolution of various numerical methods for the discretization of the Dirac equation in the nonrelati…

math.NA2015★ 1 cited

Superconvergence points of fractional spectral interpolation

Xuan Zhao, Zhimin Zhang

We investigate superconvergence properties of the spectral interpolation involving fractional derivatives. Our interest in this superconvergence problem is, in fact, twofold: when…