A Decomposition Theorem for Higher-Order Sturm-Liouville Problems on the Line and Numerical Approximation of the Spectrum. (1st February 2017)

• Record Type: Journal Article
• Authors: Yarza, Sergio
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 2(2017)
• Page Start: 267
• Page End: 278
• Publication Date: 2017-02-01
• Subjects: Sturm–Liouville operators -- scattering -- spectral problems; 47A75 -- 65L15; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1234486
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this work, we present a decomposition of the scattering matrix for higher-order Sturm-Liouville problems in terms of scattering matrices associated to disjointly supported potentials. Consequently, we propose a numerical method to approximate the eigenvalue problem. It is shown that the theory and numerics apply to the non self-adjoint case.