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

1.6k citations

Showing 2016 · math.NAShow all

10 papers · 2 filters

math.NA2016

Superconvergence analysis of DG-FEM based on the polynomial preserving recovery for Helmholtz equation with high wave number

Yu Du, Zhimin Zhang

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

math.NA2016★ 211 cited

Analysis of -Galerkin FEMs for time-fractional nonlinear parabolic problems

Dongfang Li, Hong-lin Liao, Weiwei Sun +2

This paper is concerned with numerical solutions of time-fractional nonlinear parabolic problems by a class of -Galerkin finite element methods. The analysis of methods fo…

math.NA2016★ 3 cited

Uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system in the subsonic limit regime

Weizhu Bao, Chunmei Su

We establish uniform error bounds of a finite difference method for the Klein-Gordon-Zakharov system (KGZ) with a dimensionless parameter , which is inversel…

math.NA2016★ 118 cited

Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by the preconditioned nonlinear conjugate gradient method

Xavier Antoine, Antoine Levitt, Qinglin Tang

We propose a preconditioned nonlinear conjugate gradient method coupled with a spectral spatial dis-cretization scheme for computing the ground states (GS) of rotating Bose-Einstei…

math.NA2016

Spectral-Galerkin Approximation and Optimal Error Estimate for Stokes Eigenvalue Problems in Polar Geometries

Jing An, Huiyuan Li, Zhimin Zhang

In this paper we propose and analyze spectral-Galerkin methods for the Stokes eigenvalue problem based on the stream function formulation in polar geometries. We first analyze the…

math.NA2016★ 30 cited

A fast semi-discrete Kansa method to solve the two-dimensional spatiotemporal fractional diffusion

HongGuang Sun, Xiaoting Liu, Yong Zhang +2

Anomalous diffusion is a common phenomenon observed in underground solute transport, soil water infiltration and sediment movement, etc. Time and space fractional derivative advect…

math.NA2016★ 16 cited

Supercloseness analysis and polynomial preserving recovery for a class of weak Galerkin method

Ruishu Wang, Ran Zhang, Xu Zhang +1

In this paper, we analyze convergence and supercloseness properties of a class of weak Galerkin (WG) finite element methods for solving second-order elliptic problems. It is shown…

math.NA2016★ 6 cited

Robust residual-based a posteriori error estimators for mixed finite element methods for fourth order elliptic singularly perturbed problems

Shaohong Du, Runchang Lin, Zhimin Zhang

We consider mixed finite element approximation of a singularly perturbed fourth-order elliptic problem with two different boundary conditions, and present a new measure of the erro…

math.NA2016

Robust recovery-type a posteriori error estimators for streamline upwind/Petrov Galerkin discretizations for singularly perturbed problems

Shaohong Du, Runchang Lin, Zhimin Zhang

In this paper, we investigate adaptive streamline upwind/Petrov Galerkin (SUPG) methods for singularly perturbed convection-diffusion-reaction equations in a new dual norm presente…

math.NA2016★ 49 cited

Structure-Preserving Galerkin POD Reduced-Order Modeling of Hamiltonian Systems

Yuezheng Gong, Qi Wang, Zhu Wang

The proper orthogonal decomposition reduced-order models (POD-ROMs) have been widely used as a computationally efficient surrogate models in large-scale numerical simulations of co…