The Liouville-Neumann expansion in singular eigenvalue problems

DOI10.1016/J.AML.2011.07.011zbMath1236.65099OpenAlexW2013385277MaRDI QIDQ656701

José Luis López, Ester Pérez Sinusía

Publication date: 13 January 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.07.011

zbMATH Keywords

algorithmeigenvalueseigenfunctionssingular boundary value problemssecond-order linear differential equationsLiouville-Neumann expansion

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Uses Software

• DLMF

Cites Work

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• Zeros of sections of power series
• Computing the zeros of analytic functions
• The Liouville–Neumann expansion at a regular singular point
• On the Eigenvalues of a Class of Integral Equations Arising in Laser Theory
• The Liouville–Neumann expansion in one-dimensional boundary value problems

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