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

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)

doi.org

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)

engineerguy.com

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 9780983966173. Retrieved 14 September 2016.

harvard.edu

ui.adsabs.harvard.edu

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)

jstor.org

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.

libretexts.org

eng.libretexts.org

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

nctu.edu.tw

ocw.nctu.edu.tw

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

nih.gov

pubmed.ncbi.nlm.nih.gov

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

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.

recordingblogs.com

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

semanticscholar.org

api.semanticscholar.org

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)

siam.org

epubs.siam.org

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.

tandfonline.com

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

gdz.sub.uni-goettingen.de

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

Susan E., Kelly (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

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
Susan E., Kelly (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.

worldcat.org

search.worldcat.org

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.