Browsing Department of Mathematics by Title
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Testmetoder for identifisering av publikasjonsbias i metaanalyser
(The University of Bergen, 20121024)Testmetoder for identifisering av publikasjonsbias i metaanalyser.Master thesis 
ThetaRegularity and LogCanonical Threshold
(The University of Bergen, 20180530)The logcanonical threshold is an invariant that is widely used in modern birational geometry. It contains information regarding the singularities of sheaves of ideals. The thetaregularity index is a regularity condition ...Master thesis 
Thickness and weak integrability & approximation and uideals
(The University of Bergen, 20070615)Doctoral thesis 
Time Series: Forecasting and Evaluation Methods With Concentration On Evaluation Methods for Density Forecasting
(The University of Bergen, 20180606)The main focus of this thesis are density forecasts and the corresponding evaluation methods. A density forecast is an estimate of the probability density of predicted values. Density forecasts and the related evaluation ...Master thesis 
Tokamerarekonstruksjon og Gröbnerbasar
(The University of Bergen, 20160601)I denne oppgåva skal me sjå på korleis ein skal gå fram for å rekonstruere ei scene frå to bilete. Dette kan brukast når ein skal evaluere satellittbilete og gjere ei kalibrering av kamera. Me skal sjå på geometrien og ...Master thesis 
Total Variation Regularization of MatrixValued Images
(Hindawi Publishing Corporation, 2007)We generalize the total variation restoration model, introduced by Rudin, Osher, and Fatemi in 1992, to matrixvalued data, in particular, to diffusion tensor images (DTIs). Our model is a natural extension of the color ...Peer reviewedJournal article 
Trigonometric interpolation on lattice grids
(Springer, 2015)In this paper we construct nonaliasing interpolation spaces and Lagrange functions for lattice grids. We argue that lattice grids are good for trigonometric interpolation and support this claim by numerical experiments. ...Journal article 
Two Level Additive Schwarz Preconditioner For Control Volume Finite Element Methods
(The University of Bergen, 20100922)In this thesis we investigate nummerically the convergence properties of the control volume finite element method (CVFEM) preconditioned with a two level overlapping additive Schwarz method. Relevant theory regarding the ...Master thesis 
Two phase flow including interfacial area as a variable
(The XIII international conference on computational methods in water resources, 2000)Based on the procedure of (Gray & Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a ...Journal article 
Twophase flow in porous media: dynamic capillarity and heterogeneous media
(Springer, 20150811)We investigate a twophase porous media flow model, in which dynamic effects are taken into account in phase pressure difference. We consider a onedimensional heterogeneous case, with two adjacent homogeneous blocks ...Journal article 
Twoscale preconditioning for twophase nonlinear flows in porous media
(Springer, 2015)Solving realistic problems related to flow in porous media to desired accuracy may be prohibitively expensive with available computing resources. Multiscale effects and nonlinearities in the governing equations are among ...Journal article 
A unified multilevel framework of upscaling and domain decomposition
(International Center for Numerical Methods in Engineering (CIMNE), 2010)We consider multiscale preconditioners for a class of massconservative domaindecomposition (MCDD) methods. For the application of reservoir simulation, we need to solve large linear systems, arising from finitevolume ...Conference object 
Upscaled modeling of CO2 injection and migration with coupled thermal processes
(Elsevier, 2013)A practical modeling approach for CO2 storage over relatively large length and time scales is the verticalequilibrium model, which solves partially integrated conservation equations for flow in two lateral dimensions. ...Journal article 
Upscaling of Nonisothermal Reactive Porous Media Flow under Dominant Péclet Number: The Effect of Changing Porosity
(Society for Industrial and Applied Mathematics, 2016)Motivated by rockfluid interactions occurring in a geothermal reservoir, we present a twodimensional pore scale model of a thin strip consisting of void space and grains, with fluid flow through the void space. Ions in ...Journal article 
Using sensitivities and verticalequilibrium models for parameter estimation of CO2 injection models with application to Sleipner data
(Elsevier, 201707)A key part of planning CO2 storage sites is to devise a monitoring strategy with proper modelling support. Herein, we show how a simulation framework that incorporates adjointbased sensitivities can be combined with ...Journal article 
Using the bottleneck distance to compare homological methods of detecting atmospheric rivers
(The University of Bergen, 20180221)Master thesis 

Value of different data types for estimation of permeability
(The University of Bergen, 20110601)The interrelation between sensitivity, nonlinearity and scale, associated with the inverse problem of identifying permeability from measurements of fluid flow, is considered. The gouverning equations for fluid flow in a ...Master thesis 
Vascular responses to radiotherapy and androgendeprivation therapy in experimental prostate cancer
(BioMed Central, 20120523)Background: Radiotherapy (RT) and androgendeprivation therapy (ADT) are standard treatments for advanced prostate cancer (PC). Tumor vascularization is recognized as an important physiological feature likely to impact on ...Peer reviewedJournal article