Gaussove kvadraturne formule za numeričku integraciju

Jaganjac, Danijela

undergraduate thesis

Gaussove kvadraturne formule za numeričku integraciju

Jaganjac, Danijela (2017)

Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics
Applied Mathematics Research Group

Cite this document

APA 6th Edition

Jaganjac, D. (2017). Gaussove kvadraturne formule za numeričku integraciju (Undergraduate thesis). Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:134178

MLA 8th Edition

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

Chicago 17th Edition

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

Harvard

Jaganjac, D. (2017). 'Gaussove kvadraturne formule za numeričku integraciju', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 14 August 2020, https://urn.nsk.hr/urn:nbn:hr:126:134178

Vancouver

Jaganjac D. Gaussove kvadraturne formule za numeričku integraciju [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2020 August 14] Available at: https://urn.nsk.hr/urn:nbn:hr:126:134178

IEEE

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

Cite this item: https://urn.nsk.hr/urn:nbn:hr:126:134178

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Metadata

Title	Gaussove kvadraturne formule za numeričku integraciju
Title (english)	Gaussian Quadratures for Numerical Integration
Author	Danijela Jaganjac
Mentor	Kristian Sabo (mentor)
Granter	Josip Juraj Strossmayer University of Osijek Department of Mathematics (Chair of Applied Mathematics) (Applied Mathematics Research Group) Osijek
Defense date and country	2017-09-12, 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)
Language	croatian
URN:NBN	urn:nbn:hr:126:134178
Study programme	Title: 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 resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Created on	2017-10-27 11:09:24