Diferencijske sheme za paraboličke probleme s generalisanim rešenjima

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Diferencijske sheme za paraboličke probleme s generalisanim rešenjima

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dc.contributor.advisor Jovanović, S. Boško
dc.contributor.author Bojović, R. Dejan
dc.date.accessioned 2012-01-26T10:14:52Z
dc.date.available 2012-01-26T10:14:52Z
dc.date.issued 1999
dc.identifier.uri http://hdl.handle.net/123456789/1915
dc.description.abstract The field of research in this dissertation is consideration of convergence of finite differnce method for parabolic problems with generalized solutions. The research in this dissertation is connected with the following subjects: Numerical Analysis and Partial Differential Equations. This dissertation, beside Preface and References with 56 items, consists of five chapters: 1. Introductory Topics; 2. Parabolic Problems with Variable Operator: Convergence in W(2,1)-norm; 3. Parabolic Problems with Variable Operator: Convergence in W(1,1/2)-norm; 4. Convergence in L-2 norm; 5. Application of Interpolatyion theory In Chapter 1 a brief review of the Sobolev spaces, anisotropic Sobolev spaces, multipliers in Sobolev spaces, interpolation theory of Banach spaces and existence of generalized solution of parabolic problems are presented. Initial-boundary-value problems with variable (time-dependent) operator are considered in Chapters 2 and 3. In Chapter 2 is proved convergence of finite difference scheme in discrete W(2,1) Sobolev norm. Convergence in W(1,1/2) norm is proved in Chapter 3. In Chapter 4, parabolic problem with variable coefficients is considered and convergence in L-2 norm is proved. Finally, in Chapter 5 , interpolation theory is applied to the convergence analysis. en_US
dc.description.provenance Submitted by Slavisha Milisavljevic (slavisha) on 2012-01-26T10:14:52Z No. of bitstreams: 1 doktorska disertacija Scan reduce.pdf: 1523809 bytes, checksum: 18071a93ae0857ce75a3297f67cdb1f9 (MD5) en
dc.description.provenance Made available in DSpace on 2012-01-26T10:14:52Z (GMT). No. of bitstreams: 1 doktorska disertacija Scan reduce.pdf: 1523809 bytes, checksum: 18071a93ae0857ce75a3297f67cdb1f9 (MD5) Previous issue date: 1999 en
dc.language.iso sr en_US
dc.publisher Kragujevac, Serbia en_US
dc.title Diferencijske sheme za paraboličke probleme s generalisanim rešenjima en_US
mf.author.birth-date 1968
mf.author.birth-place Kruševac en_US
mf.author.birth-country Serbia en_US
mf.author.residence-state Serbia en_US
mf.author.citizenship Serbian en_US
mf.author.nationality Serbian en_US
mf.subject.area Mathematics en_US
mf.subject.keywords Finite difference method; Convergence; Sobolev spaces en_US
mf.subject.subarea Numerical analysis en_US
mf.subject.subarea Numerical Solving of PDE en_US
mf.contributor.committee Jovanović, S. Boško
mf.contributor.committee Ivanović, lav
mf.contributor.committee Radenović, Stojan
mf.university.faculty Faculty of Science and Mathematics en_US
mf.document.references 56 en_US
mf.document.pages 85 en_US
mf.document.location Library of University of Kragujevac, Serbia en_US
mf.document.genealogy-project Yes en_US
mf.author.parent Rajko en_US
mf.university University of Kragujevac en_US

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