Accelerated spectral refinement part I: Simple eigenvalue

Authors
Alam, R Kulkarni, RP Limaye, BV
Citation
R. Alam et al., Accelerated spectral refinement part I: Simple eigenvalue, J AUS MAT B, 41, 2000, pp. 487-507
Citations number
16
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS
ISSN journal
03342700 → ACNP
Volume
41
Year of publication
2000
Part
4
Pages
487 - 507
Database
ISI
SICI code
0334-2700(200004)41:<487:ASRPIS>2.0.ZU;2-9
Abstract
A general framework is developed for constructing higher order spectral ref inement schemes for a simple eigenvalue. Well-known techniques for ordinary spectral refinement are carried over to higher order spectral refinement y ielding faster rate's of convergence. Numerical examples are given by consi dering an integral operator.