Rayleigh–Ritz method (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Rayleigh–Ritz method" in English language version.

refsWebsite

Global rank English rank

6doi.org

2^nd place

4harvard.edu

18^th place

17^th place

4arxiv.org

69^th place

59^th place

2books.google.com

3^rd place

1sciencedirect.com

149^th place

178^th place

1ima.org.uk

low place

1aps.org

1,503^rd place

1,378^th place

1nih.gov

4^th place

aps.org (Global: 1,503^rd place; English: 1,378^th place)

journals.aps.org

Colbrook, Matthew; Roman, Bogdan; Hansen, Anders (2019). "How to Compute Spectra with Error Control". Physical Review Letters. 122 (25) 250201. Bibcode:2019PhRvL.122y0201C. doi:10.1103/PhysRevLett.122.250201. PMID 31347861.

arxiv.org (Global: 69^th place; English: 59^th place)

Davies, E. B.; Plum, M. (2003). "Spectral Pollution". IMA Journal of Numerical Analysis. arXiv:math/0302145. Bibcode:2003math......2145D.
Levitin, Michael; Shargorodsky, Eugene (2004). "Spectral pollution and second order relative spectra for self-adjoint operators". IMA Journal of Numerical Analysis. 24 (3): 393–416. arXiv:math/0212087. doi:10.1093/imanum/24.3.393.
Bögli, Sabine; Marletta, Marco; Tretter, Christiane (2020). "The essential numerical range for unbounded linear operators". Journal of Functional Analysis. 279 108509. arXiv:1907.09599. doi:10.1016/j.jfa.2020.108509.
Servadio, Simone; Arnas, David; Linares, Richard (2021). "A Koopman Operator Tutorial with Orthogonal Polynomials". arXiv:2111.07485 [math.NA].

books.google.com (Global: 3^rd place; English: 3^rd place)

Arfken, George B.; Weber, Hans J. (2005). Mathematical Methods For Physicists (6th ed.). Academic Press. ISBN 978-0-08-047069-6.
Trefethen, Lloyd N.; Bau, III, David (1997). Numerical Linear Algebra. SIAM. p. 254. ISBN 978-0-89871-957-4.

doi.org (Global: 2^nd place; English: 2^nd place)

Leissa, A.W. (2005). "The historical bases of the Rayleigh and Ritz methods". Journal of Sound and Vibration. 287 (4–5): 961–978. Bibcode:2005JSV...287..961L. doi:10.1016/j.jsv.2004.12.021.
Ilanko, Sinniah (2009). "Comments on the historical bases of the Rayleigh and Ritz methods". Journal of Sound and Vibration. 319 (1–2): 731–733. Bibcode:2009JSV...319..731I. doi:10.1016/j.jsv.2008.06.001.
Levitin, Michael; Shargorodsky, Eugene (2004). "Spectral pollution and second order relative spectra for self-adjoint operators". IMA Journal of Numerical Analysis. 24 (3): 393–416. arXiv:math/0212087. doi:10.1093/imanum/24.3.393.
Colbrook, Matthew; Roman, Bogdan; Hansen, Anders (2019). "How to Compute Spectra with Error Control". Physical Review Letters. 122 (25) 250201. Bibcode:2019PhRvL.122y0201C. doi:10.1103/PhysRevLett.122.250201. PMID 31347861.
Pokrzywa, Andrzej (1979). "Method of orthogonal projections and approximation of the spectrum of a bounded operator". Studia Mathematica. 65: 21–29. doi:10.4064/sm-65-1-21-29.
Bögli, Sabine; Marletta, Marco; Tretter, Christiane (2020). "The essential numerical range for unbounded linear operators". Journal of Functional Analysis. 279 108509. arXiv:1907.09599. doi:10.1016/j.jfa.2020.108509.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Leissa, A.W. (2005). "The historical bases of the Rayleigh and Ritz methods". Journal of Sound and Vibration. 287 (4–5): 961–978. Bibcode:2005JSV...287..961L. doi:10.1016/j.jsv.2004.12.021.
Ilanko, Sinniah (2009). "Comments on the historical bases of the Rayleigh and Ritz methods". Journal of Sound and Vibration. 319 (1–2): 731–733. Bibcode:2009JSV...319..731I. doi:10.1016/j.jsv.2008.06.001.
Davies, E. B.; Plum, M. (2003). "Spectral Pollution". IMA Journal of Numerical Analysis. arXiv:math/0302145. Bibcode:2003math......2145D.
Colbrook, Matthew; Roman, Bogdan; Hansen, Anders (2019). "How to Compute Spectra with Error Control". Physical Review Letters. 122 (25) 250201. Bibcode:2019PhRvL.122y0201C. doi:10.1103/PhysRevLett.122.250201. PMID 31347861.

ima.org.uk (Global: low place; English: low place)

Colbrook, Matthew. "Unscrambling the Infinite: Can we Compute Spectra?". Mathematics Today. Institute of Mathematics and its Applications.

nih.gov (Global: 4^th place; English: 4^th place)

pubmed.ncbi.nlm.nih.gov

Colbrook, Matthew; Roman, Bogdan; Hansen, Anders (2019). "How to Compute Spectra with Error Control". Physical Review Letters. 122 (25) 250201. Bibcode:2019PhRvL.122y0201C. doi:10.1103/PhysRevLett.122.250201. PMID 31347861.

sciencedirect.com (Global: 149^th place; English: 178^th place)

Leissa, A.W. (2005). "The historical bases of the Rayleigh and Ritz methods". Journal of Sound and Vibration. 287 (4–5): 961–978. Bibcode:2005JSV...287..961L. doi:10.1016/j.jsv.2004.12.021.

Rayleigh–Ritz method (English Wikipedia)

aps.org (Global: 1,503rd place; English: 1,378th place)

journals.aps.org

arxiv.org (Global: 69th place; English: 59th place)

books.google.com (Global: 3rd place; English: 3rd place)

doi.org (Global: 2nd place; English: 2nd place)

harvard.edu (Global: 18th place; English: 17th place)