On the Spectral Gap of a Square Distance Matrix

被引：0

作者：

Xinyu Cheng

Dong Li

David Shirokoff

Brian Wetton

机构：

[1] University of British Columbia,Department of Mathematics

[2] New Jersey Institute of Technology,Department of Mathematical Sciences

来源：

Journal of Statistical Physics | 2017年 / 166卷

关键词：

Distance matrix; Eigenvalue; Solvability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a square distance matrix which arises from a preconditioned Jacobian matrix for the numerical computation of the Cahn–Hilliard problem. We prove strict negativity of all but one associated eigenvalues. This solves a conjecture in Christieb et al. (J Comput Phys 257:193–215, 2014).

引用

页码：1029 / 1035

页数：6

共 8 条

[1]

Christieb A(2014)High accuracy solutions to energy gradient flows from material science models J. Comput. Phys. 257 193-215

[2]

Jones J(2016)Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations SIAM J. Numer. Anal. 54 1653-1681

[3]

Promislow K(1049)The effects of shape on the interaction of colloidal particles Ann. N. Y. Acad. Sci. 51 627-659

[4]

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