Gibbs phenomenon (English Wikipedia)

H. S. Carslaw (1930). "Chapter IX". Introduction to the theory of Fourier's series and integrals (Third ed.). New York: Dover Publications Inc.
Wilbraham, Henry (1848) "On a certain periodic function", The Cambridge and Dublin Mathematical Journal, 3 : 198–201.

cambridge.org (Global: 305^th place; English: 264^th place)

Gottlieb, Sigal; Jung, Jae-Hun; Kim, Saeja (March 2011). "A Review of David Gottlieb's Work on the Resolution of the Gibbs Phenomenon". Communications in Computational Physics. 9 (3): 497–519. Bibcode:2011CCoPh...9..497G. doi:10.4208/cicp.301109.170510s. ISSN 1815-2406.
R. Hovden, Y. Jiang, H.L. Xin, L.F. Kourkoutis (2015). "Periodic Artifact Reduction in Fourier Transforms of Full Field Atomic Resolution Images". Microscopy and Microanalysis. 21 (2): 436–441. arXiv:2210.09024. Bibcode:2015MiMic..21..436H. doi:10.1017/S1431927614014639. PMID 25597865. S2CID 22435248.{{cite journal}}: CS1 maint: multiple names: authors list (link)

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Hewitt, Edwin; Hewitt, Robert E. (1979). "The Gibbs-Wilbraham phenomenon: An episode in Fourier analysis". Archive for History of Exact Sciences. 21 (2): 129–160. doi:10.1007/BF00330404. S2CID 119355426. Available on-line at: National Chiao Tung University: Open Course Ware: Hewitt & Hewitt, 1979. Archived 2016-03-04 at the Wayback Machine
Carslaw, H. S. (1 October 1925). "A historical note on Gibbs' phenomenon in Fourier's series and integrals". Bulletin of the American Mathematical Society. 31 (8): 420–424. doi:10.1090/s0002-9904-1925-04081-1. ISSN 0002-9904. Retrieved 14 September 2016.
Gottlieb, David; Shu, Chi-Wang (January 1997). "On the Gibbs Phenomenon and Its Resolution". SIAM Review. 39 (4): 644–668. Bibcode:1997SIAMR..39..644G. doi:10.1137/S0036144596301390. ISSN 0036-1445.
Gottlieb, Sigal; Jung, Jae-Hun; Kim, Saeja (March 2011). "A Review of David Gottlieb's Work on the Resolution of the Gibbs Phenomenon". Communications in Computational Physics. 9 (3): 497–519. Bibcode:2011CCoPh...9..497G. doi:10.4208/cicp.301109.170510s. ISSN 1815-2406.
De Marchi, Stefano; Marchetti, Francesco; Perracchione, Emma; Poggiali, Davide (2020). "Polynomial interpolation via mapped bases without resampling". J. Comput. Appl. Math. 364 112347. doi:10.1016/j.cam.2019.112347. ISSN 0377-0427. S2CID 199688130.
Fay, Temple H.; Kloppers, P. Hendrik (2001). "The Gibbs' phenomenon". International Journal of Mathematical Education in Science and Technology. 32 (1): 73–89. doi:10.1080/00207390117151.
R. Hovden, Y. Jiang, H.L. Xin, L.F. Kourkoutis (2015). "Periodic Artifact Reduction in Fourier Transforms of Full Field Atomic Resolution Images". Microscopy and Microanalysis. 21 (2): 436–441. arXiv:2210.09024. Bibcode:2015MiMic..21..436H. doi:10.1017/S1431927614014639. PMID 25597865. S2CID 22435248.{{cite journal}}: CS1 maint: multiple names: authors list (link)

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Hammack, Bill; Kranz, Steve; Carpenter, Bruce (2014-10-29). Albert Michelson's Harmonic Analyzer: A Visual Tour of a Nineteenth Century Machine that Performs Fourier Analysis. Articulate Noise Books. ISBN 978-0-9839661-7-3. Retrieved 14 September 2016.

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Gottlieb, David; Shu, Chi-Wang (January 1997). "On the Gibbs Phenomenon and Its Resolution". SIAM Review. 39 (4): 644–668. Bibcode:1997SIAMR..39..644G. doi:10.1137/S0036144596301390. ISSN 0036-1445.
Gottlieb, Sigal; Jung, Jae-Hun; Kim, Saeja (March 2011). "A Review of David Gottlieb's Work on the Resolution of the Gibbs Phenomenon". Communications in Computational Physics. 9 (3): 497–519. Bibcode:2011CCoPh...9..497G. doi:10.4208/cicp.301109.170510s. ISSN 1815-2406.
R. Hovden, Y. Jiang, H.L. Xin, L.F. Kourkoutis (2015). "Periodic Artifact Reduction in Fourier Transforms of Full Field Atomic Resolution Images". Microscopy and Microanalysis. 21 (2): 436–441. arXiv:2210.09024. Bibcode:2015MiMic..21..436H. doi:10.1017/S1431927614014639. PMID 25597865. S2CID 22435248.{{cite journal}}: CS1 maint: multiple names: authors list (link)

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Bôcher, Maxime (April 1906) "Introduction to the theory of Fourier's series", Annals of Mathethematics, second series, 7 (3) : 81–152. The Gibbs phenomenon is discussed on pages 123–132; Gibbs's role is mentioned on page 129.

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"6.7: Gibbs Phenomena". Engineering LibreTexts. 2020-05-24. Retrieved 2022-03-03.

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Hewitt, Edwin; Hewitt, Robert E. (1979). "The Gibbs-Wilbraham phenomenon: An episode in Fourier analysis". Archive for History of Exact Sciences. 21 (2): 129–160. doi:10.1007/BF00330404. S2CID 119355426. Available on-line at: National Chiao Tung University: Open Course Ware: Hewitt & Hewitt, 1979. Archived 2016-03-04 at the Wayback Machine

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R. Hovden, Y. Jiang, H.L. Xin, L.F. Kourkoutis (2015). "Periodic Artifact Reduction in Fourier Transforms of Full Field Atomic Resolution Images". Microscopy and Microanalysis. 21 (2): 436–441. arXiv:2210.09024. Bibcode:2015MiMic..21..436H. doi:10.1017/S1431927614014639. PMID 25597865. S2CID 22435248.{{cite journal}}: CS1 maint: multiple names: authors list (link)

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

Carslaw, H. S. (1 October 1925). "A historical note on Gibbs' phenomenon in Fourier's series and integrals". Bulletin of the American Mathematical Society. 31 (8): 420–424. doi:10.1090/s0002-9904-1925-04081-1. ISSN 0002-9904. Retrieved 14 September 2016.

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"Gibbs phenomenon | RecordingBlogs". www.recordingblogs.com. Retrieved 2022-03-05.

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Hewitt, Edwin; Hewitt, Robert E. (1979). "The Gibbs-Wilbraham phenomenon: An episode in Fourier analysis". Archive for History of Exact Sciences. 21 (2): 129–160. doi:10.1007/BF00330404. S2CID 119355426. Available on-line at: National Chiao Tung University: Open Course Ware: Hewitt & Hewitt, 1979. Archived 2016-03-04 at the Wayback Machine
De Marchi, Stefano; Marchetti, Francesco; Perracchione, Emma; Poggiali, Davide (2020). "Polynomial interpolation via mapped bases without resampling". J. Comput. Appl. Math. 364 112347. doi:10.1016/j.cam.2019.112347. ISSN 0377-0427. S2CID 199688130.
R. Hovden, Y. Jiang, H.L. Xin, L.F. Kourkoutis (2015). "Periodic Artifact Reduction in Fourier Transforms of Full Field Atomic Resolution Images". Microscopy and Microanalysis. 21 (2): 436–441. arXiv:2210.09024. Bibcode:2015MiMic..21..436H. doi:10.1017/S1431927614014639. PMID 25597865. S2CID 22435248.{{cite journal}}: CS1 maint: multiple names: authors list (link)

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Gottlieb, David; Shu, Chi-Wang (January 1997). "On the Gibbs Phenomenon and Its Resolution". SIAM Review. 39 (4): 644–668. Bibcode:1997SIAMR..39..644G. doi:10.1137/S0036144596301390. ISSN 0036-1445.

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Fay, Temple H.; Kloppers, P. Hendrik (2001). "The Gibbs' phenomenon". International Journal of Mathematical Education in Science and Technology. 32 (1): 73–89. doi:10.1080/00207390117151.

uni-goettingen.de (Global: 2,594^th place; English: 2,546^th place)

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Encyklopädie der Mathematischen Wissenschaften mit Einschluss ihrer Anwendungen (PDF). Vol. II T. 1 H 1. Wiesbaden: Vieweg+Teubner Verlag. 1914. p. 1049. Retrieved 14 September 2016.

uwlax.edu (Global: low place; English: low place)

Kelly, Susan E. (1995). "Gibbs Phenomenon for Wavelets" (PDF). Applied and Computational Harmonic Analysis (3). Archived from the original (PDF) on 2013-09-09. Retrieved 2012-03-31.

web.archive.org (Global: 1^st place; English: 1^st place)

Hewitt, Edwin; Hewitt, Robert E. (1979). "The Gibbs-Wilbraham phenomenon: An episode in Fourier analysis". Archive for History of Exact Sciences. 21 (2): 129–160. doi:10.1007/BF00330404. S2CID 119355426. Available on-line at: National Chiao Tung University: Open Course Ware: Hewitt & Hewitt, 1979. Archived 2016-03-04 at the Wayback Machine
Kelly, Susan E. (1995). "Gibbs Phenomenon for Wavelets" (PDF). Applied and Computational Harmonic Analysis (3). Archived from the original (PDF) on 2013-09-09. Retrieved 2012-03-31.

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Carslaw, H. S. (1 October 1925). "A historical note on Gibbs' phenomenon in Fourier's series and integrals". Bulletin of the American Mathematical Society. 31 (8): 420–424. doi:10.1090/s0002-9904-1925-04081-1. ISSN 0002-9904. Retrieved 14 September 2016.
Gottlieb, David; Shu, Chi-Wang (January 1997). "On the Gibbs Phenomenon and Its Resolution". SIAM Review. 39 (4): 644–668. Bibcode:1997SIAMR..39..644G. doi:10.1137/S0036144596301390. ISSN 0036-1445.
Gottlieb, Sigal; Jung, Jae-Hun; Kim, Saeja (March 2011). "A Review of David Gottlieb's Work on the Resolution of the Gibbs Phenomenon". Communications in Computational Physics. 9 (3): 497–519. Bibcode:2011CCoPh...9..497G. doi:10.4208/cicp.301109.170510s. ISSN 1815-2406.
De Marchi, Stefano; Marchetti, Francesco; Perracchione, Emma; Poggiali, Davide (2020). "Polynomial interpolation via mapped bases without resampling". J. Comput. Appl. Math. 364 112347. doi:10.1016/j.cam.2019.112347. ISSN 0377-0427. S2CID 199688130.

Gibbs phenomenon (English Wikipedia)

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