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undergraduate thesis
Newton - Cotesove kvadraturne formule
2019. urn:nbn:hr:126:865468
Marmeggi, Silvana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Marmeggi, S. (2019). Newton - Cotesove kvadraturne formule (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:865468

Marmeggi, Silvana. "Newton - Cotesove kvadraturne formule." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:865468

Marmeggi, Silvana. "Newton - Cotesove kvadraturne formule." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2019. https://urn.nsk.hr/urn:nbn:hr:126:865468

Marmeggi, S. (2019). 'Newton - Cotesove kvadraturne formule', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 10 November 2024, https://urn.nsk.hr/urn:nbn:hr:126:865468

Marmeggi S. Newton - Cotesove kvadraturne formule [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2019 [cited 2024 November 10] Available at: https://urn.nsk.hr/urn:nbn:hr:126:865468

S. Marmeggi, "Newton - Cotesove kvadraturne formule", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:126:865468

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Metadata
TitleNewton - Cotesove kvadraturne formule
Title (english)Newton - Cotes Quadrature Formulae
AuthorSilvana Marmeggi
MentorMihaela Ribičić Penava (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2019-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
U ovom završnom radu objasnit ćemo pojam interpolacije funkcije polinomom te dokazati egzistenciju i jedinstvenost Lagrangeovog interpolacijskog polinoma. Definirat ćemo Newton-Cotesovu kvadraturnu formulu, obraditi njezine specijalne slučajeve: pravilo središnje točke, trapezno pravilo i Simpsonovo pravilo. Odredit ćemo njihove kompozitne oblike, procijeniti pogreške aproksimacije pomoću Peanove jezgre te navesti primjere.
Abstract (english)
In this bachelor’s thesis we will explain polynomial interpolation of a function, prove the existence and uniqueness of Lagrange polynomials. We will define the NewtonCotes quadrature formulae and their special forms: the mid-point rule, the trapezoidal rule and Simpsons rule. For each case, we will determine the composite rule, estimate the approximation error using the Peano kernel and demonstrate an example.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:865468
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 on2019-10-21 06:32:36