Asymptotic perturbation theory for Schrödinger eigenvalue problems

2008 ◽  
pp. 198-206
Author(s):  
W. Hunziker
Keyword(s):  
Perturbation Theory ◽  
Eigenvalue Problems ◽  
Asymptotic Perturbation

scholarly journals ASYMPTOTIC PERTURBATION OF PALINDROMIC EIGENVALUE PROBLEMS

2010 ◽  
Vol 14 (3A) ◽  
pp. 781-793 ◽  
Author(s):  
Tie-Xiang Li ◽  
Eric King-wah Chu ◽  
Chern-Shuh Wang
Keyword(s):  
Eigenvalue Problems ◽  
Asymptotic Perturbation

On the Perturbation Theory for Unitary Eigenvalue Problems

2000 ◽  
Vol 21 (3) ◽  
pp. 809-824 ◽  
Author(s):  
B. Bohnhorst ◽  
A. Bunse-Gerstner ◽  
H. Fassbender
Keyword(s):  
Perturbation Theory ◽  
Eigenvalue Problems ◽  
Unitary Eigenvalue

scholarly journals Degenerate asymptotic perturbation theory

1983 ◽  
Vol 90 (2) ◽  
pp. 219-233 ◽  
Author(s):  
W. Hunziker ◽  
C. A. Pillet
Keyword(s):  
Perturbation Theory ◽  
Asymptotic Perturbation

scholarly journals Extrapolation of perturbation-theory expansions by self-similar approximants

2014 ◽  
Vol 25 (5) ◽  
pp. 595-628 ◽  
Author(s):  
S. GLUZMAN ◽  
V.I. YUKALOV
Keyword(s):  
Perturbation Theory ◽  
Approximation Theory ◽  
Asymptotic Expansions ◽  
Applied Mathematics ◽  
Self Similar ◽  
Similar Approximation ◽  
Asymptotic Perturbation

The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is investigated. The analysis is based on self-similar approximation theory. Several types of self-similar approximants are considered and their use in different problems of applied mathematics is illustrated. Self-similar approximants are shown to constitute a powerful tool for extrapolating asymptotic expansions of different natures.

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