dc.contributor.advisor | Næss, Arvid | nb_NO |
dc.contributor.author | Halvorsen, Gaute | nb_NO |
dc.date.accessioned | 2014-12-19T13:17:11Z | |
dc.date.available | 2014-12-19T13:17:11Z | |
dc.date.created | 2011-11-02 | nb_NO |
dc.date.issued | 2011 | nb_NO |
dc.identifier | 453366 | nb_NO |
dc.identifier | ntnudaim:6680 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/246576 | |
dc.description.abstract | Some theory of real and stochastic analysis in order to introduce the Path Integration method in terms of stochastic operators. A theorem presenting sufficient conditions for convergence of the Path Integration method is then presented. The solution of a stochastic Lotka-Volterra model of a prey-predator relationship is then discussed, with and without the predator being harvested. And finally, an adaptive algorithm designed to solve the stochastic Lotka-Volterra model well, is presented. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim:6680 | no_NO |
dc.subject | MTFYMA fysikk og matematikk | no_NO |
dc.subject | Industriell matematikk | no_NO |
dc.title | Numerical Solution of Stochastic Differential Equations by use of Path Integration: A study of a stochastic Lotka-Volterra model | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 91 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for naturvitenskap og teknologi, Institutt for fysikk | nb_NO |