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undergraduate thesis
Numeričko deriviranje
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. urn:nbn:hr:126:153927
Semeš, Borna
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Semeš, B. (2022). Numeričko deriviranje (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:153927

Semeš, Borna. "Numeričko deriviranje." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:153927

Semeš, Borna. "Numeričko deriviranje." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2022. https://urn.nsk.hr/urn:nbn:hr:126:153927

Semeš, B. (2022). 'Numeričko deriviranje', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 17 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:153927

Semeš B. Numeričko deriviranje [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2022 [cited 2024 November 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:153927

B. Semeš, "Numeričko deriviranje", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:126:153927

Metadata
TitleNumeričko deriviranje
Title (english)Numerical Differentiation
AuthorBorna Semeš
MentorSuzana Miodragović (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2022-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
Tema ovog rada je numeričko deriviranje. Za početak ćemo iskazati Taylorov teorem, te koristeći Taylorovu formulu izvesti nekoliko formula za aproksimaciju prve derivacije funkcije. Zatim ćemo izvesti Lagrangeov oblik interpolacijskog polinoma i pokazati kako se primjenjuje u aproskimiranju derivacije. Konačno proučiti ćemo greške koje se javljaju kod numeričkog deriviranja i usporediti točnost pokazanih metoda.
Abstract (english)
The topic of this bachelor’s thesis is numerical differentiation. We will start by stating Taylor’s theorem, and using Taylor’s formula express couple of formulas for approximation of the first derivative. Then, we will derive the Lagrange form of the interpolation polynomial and show how it is used in approximating derivatives. Finally, we will study the errors that occur in numerical differentiation and compare the accuracy of previously shown methods.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:153927
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2022-10-17 09:53:31