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master's thesis
Numeričko integriranje
Split: University of Split, University of Split, Faculty of science, 2018. urn:nbn:hr:166:431036
Kubat, Marina
University of Split
Faculty of Science
Department of Mathematics

Institutional repository: Repository of Faculty of Science

Cite this document

Kubat, M. (2018). Numeričko integriranje (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:431036

Kubat, Marina. "Numeričko integriranje." Master's thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:431036

Kubat, Marina. "Numeričko integriranje." Master's thesis, University of Split, Faculty of Science, 2018. https://urn.nsk.hr/urn:nbn:hr:166:431036

Kubat, M. (2018). 'Numeričko integriranje', Master's thesis, University of Split, Faculty of Science, accessed 06 January 2025, https://urn.nsk.hr/urn:nbn:hr:166:431036

Kubat M. Numeričko integriranje [Master's thesis]. Split: University of Split, Faculty of Science; 2018 [cited 2025 January 06] Available at: https://urn.nsk.hr/urn:nbn:hr:166:431036

M. Kubat, "Numeričko integriranje", Master's thesis, University of Split, Faculty of Science, Split, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:166:431036

Metadata
TitleNumeričko integriranje
Title (english)Numerical integration
AuthorMarina Kubat
MentorJurica Perić (mentor)
Committee memberJurica Perić (predsjednik povjerenstva)
Committee memberMilica Klaričić Bakula (član povjerenstva)
Committee memberMarija Bliznac Trebješanin (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2018-05-28, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Tema diplomskog rada je numeričko integriranje. U radu su izvedene Trapezna, Simpsonova i produljene formule. Također je obrađen Rombergov algoritam te Gaussove integracijske formule. Dana je ocjena greške koristeći teoriju Peanove jezgre. U primjerima je numerički izračunata približna vrijednost integrala, a također data prava vrijednost integrala, kako bi mogli pokazati kad je pojedina formula egzaktna za određenu funkciju.
Abstract (english)
Subject of this master work is numerical integration. In order to introduce methods for numerical integration, we will briefly describe Trapezoidal rule, Simpson’s rule and extendet formulas. It’s also derived Romberg algorithm and Gauss integration formula. After extraction, the error of the formula are given using the Peano kernel theorem. In the examples, the approximate value of the integral is numerically calculated, and the true value if the integral is also given, in ordet to show when the particular formula is exact for a specific function.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:431036
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching
Course: major in computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2018-06-20 15:17:01