The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method

Ioana Sîrbu; Harry F. King

doi:10.1007/3-540-45545-0_103

The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method

Ioana Sîrbu
, Harry F. King

Chemistry

SUNY Buffalo

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper investigates how smoothing the Hamiltonian and the cusp of the corresponding eigenfunction affects the rate of convergence of the Rayleigh-Ritz method. A simple example from quantum mechanics is used, with a basis of harmonic oscillator functions.

Original language	English
Title of host publication	Computational Science - ICCS 2001 - International Conference, 2001, Proceedings
Editors	Vassil N. Alexandrov, Jack J. Dongarra, Benjoe A. Juliano, René S. Renner, C.J. Kenneth Tan
Publisher	Springer Verlag
Pages	911-917
Number of pages	7
ISBN (Print)	3540422323, 9783540422327
DOIs	https://doi.org/10.1007/3-540-45545-0_103
State	Published - 2001
Event	International Conference on Computational Science, ICCS 2001 - San Francisco, United States Duration: May 28 2001 → May 30 2001

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	2073
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	International Conference on Computational Science, ICCS 2001
Country/Territory	United States
City	San Francisco
Period	05/28/01 → 05/30/01

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10.1007/3-540-45545-0_103

Cite this

Sîrbu, I., & King, H. F. (2001). The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method. In V. N. Alexandrov, J. J. Dongarra, B. A. Juliano, R. S. Renner, & C. J. Kenneth Tan (Eds.), Computational Science - ICCS 2001 - International Conference, 2001, Proceedings (pp. 911-917). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2073). Springer Verlag. https://doi.org/10.1007/3-540-45545-0_103

Sîrbu, Ioana ; King, Harry F. / The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method. Computational Science - ICCS 2001 - International Conference, 2001, Proceedings. editor / Vassil N. Alexandrov ; Jack J. Dongarra ; Benjoe A. Juliano ; René S. Renner ; C.J. Kenneth Tan. Springer Verlag, 2001. pp. 911-917 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method",

abstract = "This paper investigates how smoothing the Hamiltonian and the cusp of the corresponding eigenfunction affects the rate of convergence of the Rayleigh-Ritz method. A simple example from quantum mechanics is used, with a basis of harmonic oscillator functions.",

author = "Ioana S{\^i}rbu and King, \{Harry F.\}",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2001.; International Conference on Computational Science, ICCS 2001 ; Conference date: 28-05-2001 Through 30-05-2001",

year = "2001",

doi = "10.1007/3-540-45545-0\_103",

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series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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pages = "911--917",

editor = "Alexandrov, \{Vassil N.\} and Dongarra, \{Jack J.\} and Juliano, \{Benjoe A.\} and Renner, \{Ren{\'e} S.\} and \{Kenneth Tan\}, C.J.",

booktitle = "Computational Science - ICCS 2001 - International Conference, 2001, Proceedings",

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}

Sîrbu, I & King, HF 2001, The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method. in VN Alexandrov, JJ Dongarra, BA Juliano, RS Renner & CJ Kenneth Tan (eds), Computational Science - ICCS 2001 - International Conference, 2001, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2073, Springer Verlag, pp. 911-917, International Conference on Computational Science, ICCS 2001, San Francisco, United States, 05/28/01. https://doi.org/10.1007/3-540-45545-0_103

The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method. / Sîrbu, Ioana; King, Harry F.
Computational Science - ICCS 2001 - International Conference, 2001, Proceedings. ed. / Vassil N. Alexandrov; Jack J. Dongarra; Benjoe A. Juliano; René S. Renner; C.J. Kenneth Tan. Springer Verlag, 2001. p. 911-917 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2073).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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PY - 2001

Y1 - 2001

N2 - This paper investigates how smoothing the Hamiltonian and the cusp of the corresponding eigenfunction affects the rate of convergence of the Rayleigh-Ritz method. A simple example from quantum mechanics is used, with a basis of harmonic oscillator functions.

AB - This paper investigates how smoothing the Hamiltonian and the cusp of the corresponding eigenfunction affects the rate of convergence of the Rayleigh-Ritz method. A simple example from quantum mechanics is used, with a basis of harmonic oscillator functions.

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M3 - Conference contribution

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SN - 9783540422327

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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PB - Springer Verlag

T2 - International Conference on Computational Science, ICCS 2001

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Sîrbu I, King HF. The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method. In Alexandrov VN, Dongarra JJ, Juliano BA, Renner RS, Kenneth Tan CJ, editors, Computational Science - ICCS 2001 - International Conference, 2001, Proceedings. Springer Verlag. 2001. p. 911-917. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/3-540-45545-0_103

The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method

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