Browsing Department of Mathematics by Title
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Heat Transfer Upscaling in Geothermal Reservoirs
(The University of Bergen, 20151120)In this thesis we implement a numerical model of heat transfer in geothermal reservoirs. We use existing pressure and flow transport solvers as a starting point to investigate discretization techniques for a ...Master thesis 

Hierarchical Bayesian Survival Analysis of AgeSpecific Data From Birds' Nests
(The University of Bergen, 20101119)In this thesis, I first present the grassland birds data from Wells(2007) which is used by several different methods of estimating the nest survival rates. The hierarchical Bayesian method from Cao(2009) then is introduced ...Master thesis 
High order volume preserving integrators for three kinds of divergencefree vector fields via commutators
(Huiyan Xue, 2013)In this paper, we focus on construction of high order volume preserving integrators for divergencefree vector fields of the monomial basis, exponential basis and tensor product of the monomial and exponential basis. We ...Journal article 
Histological type and grade of breast cancer tumors by parity, age at birth, and time since birth: a registerbased study in Norway
(BioMed Central, 20100521)Background Some studies have indicated that reproductive factors affect the risk of histological types of breast cancer differently. The longterm protective effect of a childbirth is preceded by a shortterm adverse ...Peer reviewedJournal article 
Hybrids between common and Antarctic minke whales are fertile and can backcross
(BioMed Central, 20130415)Background: Minke whales are separated into two genetically distinct species: the Antarctic minke whale found in the southern hemisphere, and the common minke whale which is cosmopolitan. The common minke whale is further ...Journal article 
Høyfrekvens finans og markedets mikrostruktur på Oslo Børs
(The University of Bergen, 20090909)Høyfrekvens finans, som er tema for denne oppgaven, tar for seg studiet av høyfrekvente finansielle data. I denne oppgaven har vi sett på data med den høyest mulige frekvensen, nemlig data fra hver eneste handel. De ...Master thesis 
Identification of subsurface structures using electromagnetic data and shape priors
(Elsevier, 201503)We consider the inverse problem of identifying largescale subsurface structures using the controlled source electromagnetic method. To identify structures in the subsurface where the contrast in electric conductivity can ...Journal article 
Ill Posedness Results for Generalized Water Wave Models
(The University of Bergen, 20130603)In the first part of the study, the weak asymptotic method is used to find singular solutions of the shallow water system in both one and two space dimensions. The singular solutions so constructed are allowed to contain ...Master thesis 
Image Denoising Algorithms Based on the Dual Formulation of Total Variation
(The University of Bergen, 20090717)Master thesis 
Image Inpainting using Nonlinear Partial Differential Equations
(The University of Bergen, 20050523)Master thesis 
Image processing, filtering and segmentation of datasets for reservoir simulation
(The University of Bergen, 20131011)Paper A: 2D Visualisation of Unstable Waterflood and Polymer Flood for Displacement of Heavy Oil. Fulltext not available in BORA. The published version is available at: <a href="http://dx.doi.org/10.2118/154292ms" ...Doctoral thesis 
Impact of compressibility in vertically integrated models for CO2 storage
(The University of Bergen, 20120601)Recent work have shown that simplified models obtained by vertical integration give reasonable approximations for CO2 migration. Most of the work previously done on this topic assumes that CO2 is an incompressible fluid, ...Master thesis 
The impact of localscale processes on largescale CO2 migration and immobilization
(Elsevier, 2011)Storage security of injected carbon dioxide (CO2) is an essential component of risk management for geological carbon sequestration operations. During the injection and early postinjection periods, CO2 leakage may occur ...Journal article 
Implications of Protected Areas to Optimal Management of Marine Resources
(The University of Bergen, 2005)The thesis explores how the introduction of a marine protected area influences the optimal management of a marine resource, i.e. fish stock. Logistic growth functions are applied to a deterministic model with a migration ...Master thesis 
Improving the error rates of the Begg and Mazumdar test for publication bias in fixed effects metaanalysis
(BioMed Central, 20140922)Background: The rank correlation test introduced by Begg and Mazumdar is extensively used in metaanalysis to test for publication bias in clinical and epidemiological studies. It is based on correlating the standardized ...Journal article 
Inexact linear solvers for control volume discretizations in porous media
(Springer, 20141203)We discuss the construction ofmultilevel inexact linear solvers for control volume discretizations for porous media. The methodology forms a contrast to standard iterative solvers by utilizing an algebraic hierarchy ...Journal article 
Influence of natural convection in a porous medium when producing from borehole heat exchangers
(WileyAmerican Geophysical Union, 201308)Convection currents in a porous medium form when the medium is subject to sufficient heating from below (or equivalently, cooling from above) or when cooled or heated from the side. In the context of geothermal energy ...Journal article 
Injective braids, braided operads and double loop spaces
(The University of Bergen, 20110601)We construct the category of Bspaces, which is a braided monoidal diagram category. This category is Quillen equivalent to the category of simplicial sets. The induced equivalence of homotopy categories maps a commutative ...Master thesis 
Internal pressure gradient errors in sigmacoordinate ocean models: The finite volume and weighted approaches
(The University of Bergen, 20100426)Terrainfollowing (sigmacoordinate) models are widely used. They are often advantageous when dealing with large variations in topography, and give an accurate representation of the bottom and top boundary layers. However, ...Master thesis