arXiv Open Access 2005

Non-variational approximation of discrete eigenvalues of self-adjoint operators

Lyonell Boulton
Lihat Sumber

Abstrak

We establish sufficiency conditions in order to achieve approximation to discrete eigenvalues of self-adjoint operators in the second-order projection method suggested recently by Levitin and Shargorodsky, [math.SP/0212087]. We find explicit estimates for the eigenvalue error and study in detail two concrete model examples. Our results show that, unlike the majority of the standard methods, second-order projection strategies combine non-pollution and approximation at a very high level of generality.

Topik & Kata Kunci

Penulis (1)

L

Lyonell Boulton

Format Sitasi

Boulton, L. (2005). Non-variational approximation of discrete eigenvalues of self-adjoint operators. https://arxiv.org/abs/math/0503126

Akses Cepat

Lihat di Sumber
Informasi Jurnal
Tahun Terbit
2005
Bahasa
en
Sumber Database
arXiv
Akses
Open Access ✓