Browsing Department of Mathematics by Title
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A Lanczosview on Independent Component Analysis of fMRI Data
(The University of Bergen, 20100604)Analysis of restingstate fMRI data is commonly done by a combination of the two signal processing methods Principal Component Analysis (PCA) and Independent Component analysis (ICA). In this thesis, a possible error ...Master thesis 
LatticeBoltzmann modelling of spatial variation in surface tension and wetting effects
(The University of Bergen, 20100826)The main focus of the project which is the foundation of the thesis is to study the effects spatial variations in capillary effects have on fluid flow. This requires knowledge of the underlying fluid flow equations, and ...Doctoral thesis 
Layout of CCS monitoring infrastructure with highest probability of detecting a footprint of a CO2 leak in a varying marine environment
(Elsevier, 20150404)Monitoring of the marine environment for indications of a leak, or precursors of a leak, will be an intrinsic part of any subsea CO2 storage projects. A real challenge will be quantification of the probability of a given ...Journal article 
Lévy processes and Lévy copulas with an application in insurance
(The University of Bergen, 2007)This thesis discusses Lévy processes and Lévy copulas. In connection with Lévy processes we treat some of the theory behind infinitely divisible distributions, acknowledging that the two classes are equivalent.Within the ...Master thesis 
Lie–Butcher series and geometric numerical integration on manifolds
(The University of Bergen, 20111104)The thesis belongs to the field of “geometric numerical integration” (GNI), whose aim it is to construct and study numerical integration methods for differential equations that preserve some geometric structure of the ...Doctoral thesis 
Linear and Nonlinear Convection in Porous Media between Coaxial Cylinders
(The University of Bergen, 20110502)In this thesis we develop a mathematical model for describing threedimensional natural convection in porous media filling a vertical annular cylinder. We apply a linear stability analysis to determine the onset of convection ...Master thesis 
Linear and nonlinear convection in porous media between coaxial cylinders
(AIP, 2011)We uncover novel features of threedimensional natural convection in porous media by investigating convection in an annular porous cavity contained between two vertical coaxial cylinders. The investigations are made using ...Journal article 
Liposomal doxorubicin improves radiotherapy response in hypoxic prostate cancer xenografts
(BioMed Central, 20111007)Background: Tumor vasculature frequently fails to supply sufficient levels of oxygen to tumor tissue resulting in radioresistant hypoxic tumors. To improve therapeutic outcome radiotherapy (RT) may be combined with ...Peer reviewedJournal article 
Local Likelihood
(The University of Bergen, 20120423)Methods for probability density estimation are traditionally classified as either parametric or nonparametric. Fitting a parametric model to observations is generally a good idea when we have sufficient information ...Master thesis 
A Local Streamline EulerianLagrangian Method for TwoPhase Flow
(The XIII international conference on computational methods in water resources, 2000)A method for solving the saturation equation for twophase now is presented. The method may be viewed as an operator splitting method or as an EulerianLagrangian backtracking procedure or as a modi£ed method of ...Journal article 
Logarithmic Hochschild homology
(The University of Bergen, 20150601)The purpose of this thesis is to analyse the logarithmic Hochschild homology for prelog rings and to provide some tools to compute it in certain cases. One of the main strategies that we will employ to describe the log ...Master thesis 
Long Wave Models with Application to High Speed Vessels in Shallow Water
(The University of Bergen, 20070223)Doctoral thesis 
Markovmodulerte Poissonprosessar som modellar for dykketidsdata
(The University of Bergen, 20100323)Alle pattedyr som lever i sjøen må opp til overlata for å puste, og det er når dyra bryt overflata at det er mogeleg for oss å observere dei. Det er ikkje alltid lett å oppdage dyra, og sannsynligheten for å oppdage eit ...Master thesis 

Matching univalent functions and related problems of conformal mappings
(The University of Bergen, 2008)Master thesis 
Matematikk 1 En kvalitativ tilnærming til Matematikk 1kurset i allmennlærerutdanningen høsten 2005
(The University of Bergen, 200606)This master’s thesis concerns the compulsary mathematics course “Mathematics 1” for students of teacher education in primary and lower secondary schools. My intension has been to present qualitatively the experiences of ...Master thesis 
Matematikk i tenårene  Matematikksamtalen som verktøy
(The University of Bergen, 20100525)Matematikksamtaler slik begrepet blir brukt i denne teksten legger vekt på kommunikasjon og samarbeid mellom elever som vei til matematisk kunnskap, og bygger således på et sosiokulturelt læringssyn. Samtalene går ut på ...Master thesis 
Matematikkdidaktikk i ei reformtid  Intervju med åtte matematikklærarar i ungdomsskulen
(The University of Bergen, 2005)Master thesis 
Mathematical Analysis of Similarity Solutions for Modelling Injection of CO2 into Aquifers
(The University of Bergen, 20070601)Master thesis 
Mathematical Imaging with Applications to MRI and Diffusion Tensor MRI
(The University of Bergen, 20070326)Doctoral thesis