Regular approximations of spectra of singular second-order symmetric linear difference equations

被引：6

作者：

Liu, Yan ^{[1
]}

Shi, Yuming ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 444卷

关键词：

Symmetric linear difference equation; Self-adjoint subspace extension; Regular approximation; Spectral inclusion; Spectral exactness; SELF-ADJOINT EXTENSIONS; EIGENFUNCTION-EXPANSIONS; EIGENVALUES; CONVERGENCE; INCLUSION; EXACTNESS; OPERATORS;

D O I：

10.1016/j.laa.2013.11.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with regular approximations of spectra of singular second-order symmetric linear difference equations. For any given self-adjoint subspace extension of the corresponding minimal subspace, its spectrum can be approximated by eigen-values of a sequence of regular self-adjoint subspace extensions generated by the same difference expression on smaller finite intervals. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：183 / 210

页数：28

共 50 条

[31] Uniform Holder-norm bounds for finite element approximations of second-order elliptic equations [J].

Diening, Lars ;

Scharle, Toni ;

Suli, Endre .

IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 41 (03) :1846-1898

[32] Convergence of corrected derivative methods for second-order linear partial differential equations [J].

Black, T ;

Belytschko, T .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1999, 44 (02) :177-203

[33] Factorization of second-order linear differential equations and Liouville-Neumann expansions [J].

Garcia, Esther ;

Littlejohn, Lance ;

Lopez, Jose L. ;

Perez Sinusia, Ester .

MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (5-6) :1514-1530

[34] Interior Penalties for Summation-by-Parts Discretizations of Linear Second-Order Differential Equations [J].

Yan, Jianfeng ;

Crean, Jared ;

Hicken, Jason E. .

JOURNAL OF SCIENTIFIC COMPUTING, 2018, 75 (03) :1385-1414

[35] A SECOND-ORDER NUMERICAL METHOD FOR THE AGGREGATION EQUATIONS [J].

Carrillo, Jose A. ;

Fjordholm, Ulrik S. ;

Solem, Susanne .

MATHEMATICS OF COMPUTATION, 2021, 90 (327) :103-139

[36] HYERS-ULAM STABILITY FOR SECOND-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH BOUNDARY CONDITIONS [J].

Gavruta, Pasc ;

Jung, Soon-Mo ;

Li, Yongjin .

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2011,

[37] A novel second-order linear scheme for the Cahn-Hilliard-Navier-Stokes equations [J].

Chen, Lizhen ;

Zhao, Jia .

JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 423 (423)

[38] Principal vectors of second-order quantum difference equations with boundary conditions dependent on spectral parameter [J].

Aygar, Yelda .

ADVANCES IN DIFFERENCE EQUATIONS, 2015,

[39] Self-adjoint second-order difference equations with unbounded coefficients in the double root case [J].

Motyka, Wojciech .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2014, 20 (03) :438-472

[40] Difference equations of second order with spectral singularities [J].

Adivar, M ;

Bairamov, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 277 (02) :714-721

← 1 2 3 4 5 →