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undergraduate thesis
Numerička integracija
Rijeka: University of Rijeka, Faculty of Engineering, 2022. urn:nbn:hr:190:929152
Pletikos, Anton
University of Rijeka
Faculty of Engineering
Department of Mathematics, Physics, and Foreign Languages

Institutional repository: Repository of the University of Rijeka, Faculty of Engineering

Cite this document

Pletikos, A. (2022). Numerička integracija (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:929152

Pletikos, Anton. "Numerička integracija." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2022. https://urn.nsk.hr/urn:nbn:hr:190:929152

Pletikos, Anton. "Numerička integracija." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2022. https://urn.nsk.hr/urn:nbn:hr:190:929152

Pletikos, A. (2022). 'Numerička integracija', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 04 May 2024, https://urn.nsk.hr/urn:nbn:hr:190:929152

Pletikos A. Numerička integracija [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2022 [cited 2024 May 04] Available at: https://urn.nsk.hr/urn:nbn:hr:190:929152

A. Pletikos, "Numerička integracija", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2022. Available at: https://urn.nsk.hr/urn:nbn:hr:190:929152

Metadata
TitleNumerička integracija
Title (english)Numerical integration
AuthorAnton Pletikos
MentorIvan Dražić (mentor)
Committee memberViktor Sučić (predsjednik povjerenstva)
Committee memberIvan Dražić (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
(Department of Mathematics, Physics, and Foreign Languages)
Rijeka
Defense date and country2022-07-13, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Abstract
U ovom radu opisane su metode za numeričko integriranje koje se baziraju na Newton-Cotesovim formulama, a to su trapezna i Simpsonova formula. Objašnjen je povijesni aspekt numeričke matematike, grane u koju spada numeričko integriranje. Analizirane su vrte numeričkih grešaka te njihovi uzroci. Trapezna i Simpsonova formula matematički su izvedene, te je demonstrirano njihovo korištenje s teorijskog i praktičnog aspekta. Pokazana je i njihova implementacija u programskom jeziku Python. Napravljeno je nekoliko numeričkih primjera te dva primjera povezana s elektrotehnikom.
Abstract (english)
This paper describes methods of numerical integration based on the Newton-Cotes formulas, namely the trapezoidal and Simpson formulas. The historical aspect of numerical mathematics, of which numerical integration is a part, is explained. The types of numerical errors and their causes were analyzed. The trapezoidal and Simpson formulas are mathematically derived and their application is demonstrated from a theoretical and practical point of view. Their implementation in the Python programming language is also shown. Several numerical examples and two examples from the field of electrical engineering are given.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:929152
Study programmeTitle: Undergraduate University Study of Electrical Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2022-07-13 16:19:29