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undergraduate thesis
Gaussove kvadraturne formule za numeričku integraciju
2017. urn:nbn:hr:126:134178
Jaganjac, Danijela
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Applied Mathematics and Optimization Research Group

Cite this document

Jaganjac, D. (2017). Gaussove kvadraturne formule za numeričku integraciju (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:134178

Jaganjac, Danijela. "Gaussove kvadraturne formule za numeričku integraciju." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:134178

Jaganjac, Danijela. "Gaussove kvadraturne formule za numeričku integraciju." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:134178

Jaganjac, D. (2017). 'Gaussove kvadraturne formule za numeričku integraciju', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 20 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:134178

Jaganjac D. Gaussove kvadraturne formule za numeričku integraciju [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2025 January 20] Available at: https://urn.nsk.hr/urn:nbn:hr:126:134178

D. Jaganjac, "Gaussove kvadraturne formule za numeričku integraciju", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:134178

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Metadata
TitleGaussove kvadraturne formule za numeričku integraciju
Title (english)Gaussian Quadratures for Numerical Integration
AuthorDanijela Jaganjac
MentorKristian Sabo (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Applied Mathematics and Optimization Research Group)
Osijek
Defense date and country2017-09-12, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
Tema ovog završnog rada je numerička integracija. U radu su ukratko pojašnjene trapezna formula, Newton-Cotesove formule i Simpsonova formula te su dane njihove ocjene pogreški. Glavni dio rada je usmjeren na Gaussove kvadraturne formule. Objasnit ćemo ideju kojom su nastale i izvesti njihov opci oblik. Detaljnije će biti pojašnjena Gauss-Legendreova metoda za koju ćemo, koristeći teoriju Peanove jezgre, dati ocjenu pogreške. Na kraju ćemo pomoću nekoliko konkretnih primjera usporediti sve navedene metode.
Abstract (english)
Subject of this final paper is numerical integration. In order to introduce methods for numerical integration, we will briefly describe trapezoidal rule, Newton-Cotes formulas and Simpson’s rule, also we will state error bound for each method. Main focus of the paper will be Gaussian quadrature. We will explain the key idea underlying this method and derive general form of it. Gauss-Legendre quadrature will be explained in more detail. Applying Peano kernel theory we will obtain error bounds for this method. To sum up, there will be given few examples to compare how each methods works.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:134178
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 on2017-10-27 11:09:24