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

University at Buffalo

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

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",

language = "English",

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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.",

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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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T1 - The effect of the cusp on the rate of convergence of the Rayleigh-Ritz method

AU - Sîrbu, Ioana

AU - King, Harry F.

N1 - Publisher Copyright: © Springer-Verlag Berlin Heidelberg 2001.

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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DO - 10.1007/3-540-45545-0_103

M3 - Conference contribution

SN - 3540422323

SN - 9783540422327

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

SP - 911

EP - 917

BT - Computational Science - ICCS 2001 - International Conference, 2001, Proceedings

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A2 - Dongarra, Jack J.

A2 - Juliano, Benjoe A.

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A2 - Kenneth Tan, C.J.

PB - Springer Verlag

T2 - International Conference on Computational Science, ICCS 2001

Y2 - 28 May 2001 through 30 May 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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