Inačice Crossova postupka

undergraduate thesis

• Title (english): Variants of Cross method
• Author: Ivan Manović
• Mentor: Krešimir Fresl (mentor)
• Committee member: Krešimir Fresl (predsjednik povjerenstva)
• Committee member: Petra Gidak (član povjerenstva)
• Committee member: Mario Uroš (član povjerenstva)
• Granter: University of Zagreb; Faculty of Civil Engineering; (Engineering Mechanics); Zagreb
• Defense date and country: 2020-09-08, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Civil Engineering

Abstract

U radu je obrađen jedan od relaksacijskih postupaka -- Crossov postupak. U prvom dijelu je opis postupka, izvedeni su svi potrebni izrazi te je postupak dodatno pojašnjen kroz primjer. Nadalje su objašnjeni Jacobijev i Gauss-Seidelov iteracijski postupak te je ostvarena poveznica s Crossovim postupkom. Naglasak rada je na inačicama Crossova postupka. Uz pomoć programskog alata Sagemath ispitane su sve inačice na istim primjerima statičkih sustava. Konačno, napravljena je analiza računskih... More koraka kao i sama usporedba inačica. Less

Abstract (english)

This thesis deals with one of the relaxation methods -- the Cross method. The first part describes the method, all the necessary equations are derived and the method is further explained through an example. Furthermore, the Jacobi and Gauss-Seidel iterative methods are explained and the relation with Cross method is made. The emphasis of the thesis is on the variants of Cross method. With SageMath software, all variants were tested on the same examples of static systems. Finally, an... More analysis of the calculation steps is made, as well as the comparison of the variants. Less

• Keywords: Crossov postupak; Jacobijev postupak; Gauss-Seidelov postupak; iteracijski postupak; relaksacija
• Keywords (english): Cross method; Jacobi method; Gauss-Seidel method; iterative method; relaxation method
• Language: croatian
• URN:NBN: urn:nbn:hr:237:780850
• Study programme: Title: Civil Engineering; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka građevinarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka građevinarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Closed access
• Created on: 2020-09-18 07:08:09