dc.contributor.advisor | Holden, Helge | nb_NO |
dc.contributor.author | Haugen, Øystein Storaas | nb_NO |
dc.date.accessioned | 2014-12-19T13:57:37Z | |
dc.date.available | 2014-12-19T13:57:37Z | |
dc.date.created | 2010-09-02 | nb_NO |
dc.date.issued | 2009 | nb_NO |
dc.identifier | 347173 | nb_NO |
dc.identifier | ntnudaim:4857 | nb_NO |
dc.identifier.uri | http://hdl.handle.net/11250/258277 | |
dc.description.abstract | Numerical methods for solving The Korteweg-de Vries (KdV) equation are studied. Four main classes of numerical methods were implemented and tested; a semi-discretized finite difference method, an iterating finite difference method suggested by Yoshinori Kametaka, the Fourier spectral method and an split-step method. The methods are compared to true solutions for error calculations. The error are discussed both as a function of computational time on a reference computer and as a function of grid points. The methods are also tested on initial conditions who does not have known solutions. The convergence rate and complexity of the implementation are also discussed. | nb_NO |
dc.language | eng | nb_NO |
dc.publisher | Institutt for matematiske fag | nb_NO |
dc.subject | ntnudaim | no_NO |
dc.subject | SIF3 fysikk og matematikk | no_NO |
dc.subject | Industriell matematikk | no_NO |
dc.title | Survey of numerical methods for the Korteweg de Vries equation. | nb_NO |
dc.type | Master thesis | nb_NO |
dc.source.pagenumber | 38 | nb_NO |
dc.contributor.department | Norges teknisk-naturvitenskapelige universitet, Fakultet for informasjonsteknologi, matematikk og elektroteknikk, Institutt for matematiske fag | nb_NO |