undergraduate thesis
Numerical Integration

Sanela Buljan (2015)
Sveučilište Josipa Jurja Strossmayera u Osijeku
Odjel za matematiku
Zavod za primijenjenu matematiku
Katedra za primijenjenu matematiku
Metadata
TitleNumerička integracija
AuthorSanela Buljan
Mentor(s)Kristian Sabo (thesis advisor)
Abstract
Tema ovog završnog rada je numerička integracija. U uvodnom dijelu rad će se bazirati na problemu površine i samom deniranju odredenog integrala. Glavni dio ovog rada biti ce posvećen metodama za numeričko integriranje. Detaljnije ćemo obraditi trapeznu formulu, Newton-Cotesovu formulu te Simpsonovo pravilo.
Keywordsproblem areas Darboux sum Riemann integral denite integral Newton-Leibniz formula method of supstitution partial integration numerical integration approxi- mation approximation error trapezodial formula Newton-Cotes formula Simpson's rule
Parallel title (English)Numerical Integration
GranterSveučilište Josipa Jurja Strossmayera u Osijeku
Odjel za matematiku
Lower level organizational unitsZavod za primijenjenu matematiku
Katedra za primijenjenu matematiku
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Numerical Mathematics
Study programme typeuniversity
Study levelundergraduate
Study programmeUniversity undergraduate study programme in mathematics
Academic title abbreviationuniv.bacc.math.
Genreundergraduate thesis
Language Croatian
Defense date2015-09-30
Parallel abstract (English)
The theme of this final paper is a numerical integration. In the first part work will be based on problem areas and the denition of denite integrals. The main part of the paper will be dedicated on methods for numerical integration. More details will be processed to trapezodial formula, Newton-Cotes formula and Simpson's rule.
Parallel keywords (Croatian)problem površine Darbouxova suma Riemannov integral određeni integral Newton- Leibnizova formula metoda supstitucije parcijalna integracija numeričko integriranje aproksimacija pogreška aproksimacije trapezno pravilo Newton-Cotesova formula Simpsonovo pravilo
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:029562
CommitterMirna Šušak Lukačević