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undergraduate thesis
Varijacijske metode
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics, 2016. urn:nbn:hr:160:748190
Živković, Josip
Josip Juraj Strossmayer University of Osijek
Department of Physics
Division of Experimental Physics
Division Chair of Fundamental Physics

Institutional repository: Repository of Department of Physics in Osijek

Cite this document

Živković, J. (2016). Varijacijske metode (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:160:748190

Živković, Josip. "Varijacijske metode." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2016. https://urn.nsk.hr/urn:nbn:hr:160:748190

Živković, Josip. "Varijacijske metode." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, 2016. https://urn.nsk.hr/urn:nbn:hr:160:748190

Živković, J. (2016). 'Varijacijske metode', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, accessed 20 December 2024, https://urn.nsk.hr/urn:nbn:hr:160:748190

Živković J. Varijacijske metode [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Physics; 2016 [cited 2024 December 20] Available at: https://urn.nsk.hr/urn:nbn:hr:160:748190

J. Živković, "Varijacijske metode", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Physics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:160:748190

Metadata
TitleVarijacijske metode
Title (english)Calculus of Variations
AuthorJosip Živković
MentorZvonko Glumac (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Physics
(Division of Experimental Physics)
(Division Chair of Fundamental Physics)
Osijek
Defense date and country2016-09-21, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
General and Classical Physics
Abstract
U ovome radu ukratko ćemo se upoznati sa osnovama varijacijskih metoda. Bavit ćemo se problemom traženja lokalnog minimuma određenog funkcionala, na način da tražimo nužne i dovoljne uvjete postojanja ekstrema tog funkcionala. Upoznat ćemo se sa Euler - Lagrangeovom jednadžbom, Hamiltonovim načelom, Sturm-Liouvilleovim operatorom i Rayleigh-Ritzovom metodom. Također, razmatrat ćemo više metoda pronalaženja svojstvenih vrijednosti. Na poslijetku ćemo pokazati kako se varijacijski postupak može proširiti za slučaj više nezavisnih varijabli.
Abstract (english)
In this paper, we will shortly be introduced to the basics of Calculus of Variations. We will deal with problem of finding a local minima of certain functional in a way to seek the necessary and sufficient conditions for the existence of ekstreme of this functional. We will meet with Euler-Lagrange equation, Hamilton's principe, Sturm-Liouvilles operator and Rayleigh-Ritz method. Also, we will consider more methods for finding eigenvalues. In the end, we will show how calculus of variations can be extended to handle more than one independent variable.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:160:748190
Study programmeTitle: Physics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2016-10-04 06:21:35