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2Braids and a categorification of the Kauffman bracket polynomial
(Master thesis, 2015)Abstract. 
A Bayesian Inversion Approach to Filtering and Decision Making with Applications to Reservoir Characterization
(Doctoral Theses at NTNU, 15038181; 2013:275, Doctoral thesis, 2013)The main objectives of this thesis are the estimation/filtering and decision making problems with a Bayesian inversion point of view, and in geophysical systems. In addition, determining the information content in the ... 
A Bayesian Model for Area and Point Predictions  A Case Study of Predictions of Annual Precipitation and Runoff in the Voss Area.
(Master thesis, 2016)In this work we perform predictions of annual precipitation and runoff by spatial interpolation. For this purpose, we utilise both point observations of precipitation and/or area observations of runoff from several years. ... 
A Bayesian model for the dependence structure in binary Markov random fields.
(Master thesis, 2014)In this thesis a reversible jump Markov chain Monte Carlo (MCMC) method for simulation of the graph structure of a binary Markov random field (MRF) is presented. The reversible jump MCMC method allows for simulation of ... 
A Bayesian spatial assimilation scheme for snow coverage observations in a gridded snow model
(Journal article; Peer reviewed, 2006)A method for assimilating remotely sensed snow covered area (SCA) into the snow subroutine of a grid distributed precipitationrunoff model (PRM) is presented. The PRM is assumed to simulate the snow state in each grid ... 
A blockyness Constraint for seismic AVA Inversion
(Master thesis, 2008)The aim of seismic inversion is to determine the distribution of elastic parameters from recorded seismic reflection data. If a combination of elastic parameters is known, they indicate a certain fluid or lithology. Elastic ... 
A categorical approach to CuntzPimsner C*algebras
(Master thesis, 2015)Using a $C^*$algebra $A$, a Hilbert $A$module $E$ and a $C^*$correspondence $(E,\phi_E)$ we use the language of category theory to construct $\mathcalO_{(E,\phi_E)}(J)$, the CuntzPimsner representation relative to an ... 
Accelerated Smoothing and Construction of Prolongation Operators for the Multiscale RestrictedSmoothed Basis Method on Distributed Memory Systems
(Master thesis, 2016)During the last two decades, several multiscale solvers have been developed in an attempt to reduce the computational cost of reservoir simulations. One such method is the recently proposed and promising multiscale ... 
Accurate discretizations of torqued rigid body dynamics
(Master thesis, 2010)This paper investigates the solution of the free rigid body equations of motion, as well as of the equations governing the torqued rigid body. We will consider two semiexact methods for the solution of the free rigid body ... 
A comparative study of beam element formulations for nonlinear analysis: corotatinal vs. geometrically exact formulations
(Chapter, 2017)In this work the geometrically exact threedimensional beam theory has been used as basis for development of a family of isoparametric higher order large deformation curved beam elements. Geometrically exact threedimensional ... 
A comparison of accuracy and computational efficiency between the Finite Element Method and the Isogeometric Analysis for twodimensional Poisson Problems
(Master thesis, 2009)For small error the isogeometric analysis is more efficient than the finite element method. The condition number is lower in the isogeometric analysis than the finite element method. The isogeometric analysis produce general ... 
A Comparison of Factor Based Methods for Analysing Some Nonregular Designs
(Master thesis, 2016)Nonregular designs have nice properties regarding run economy. However, standard methods of analysing regular designs are not applicable as a results of possible nonorthogonal contrast columns. We investigated three ... 
A Comparison Study of Different Optimizing Criteria and Confounding Patterns For MultiLevel Binary Replacement and Other Designs Used in Computer Experiments
(Master thesis, 2011)We have constructed four different types of designs for computer experiments. Thedesign types are based on latin hypercube sampling (LHS), orthogonal arrays (OA), random sampling and the recently proposed multilevel ... 
A ContinuousTime, DiscreteSpace Statistical Model for Estimating Dispersal Rate Applied to a Population of House Sparrows (Passer Domnesticus) in Northern Norway
(Master thesis, 2015)How individuals move and interact with each other is a complex matter. Even so, the knowledge of how such movements and interactions happen is important to understand in order to be able to keep genetic variation and ... 
A Convergent CrankNicolson Galerkin Scheme for the BenjaminOno Equation
(Master thesis, 2016)In this thesis we prove the convergence of a CrankNicolson type Galerkin finite element scheme for the initial value problem associated to the BenjaminOno equation. The proof is based on a recent result for a similar ... 
A Convergent Crank–Nicolson Galerkin Scheme for the Benjamin–Ono Equation
(Journal article; Peer reviewed, 2018)In this paper we prove the convergence of a Crank–Nicolson type Galerkin finite element scheme for the initial value problem associated to the Benjamin–Ono equation. The proof is based on a recent result for a similar ... 
Adaptive isogeometric finite element analysis of steadystate groundwater flow
(Journal article; Peer reviewed, 2015)Numerical challenges occur in the simulation of groundwater flow problems because of complex boundary conditions, varying material properties, presence of sources or sinks in the flow domain, or a combination of these. In ... 
Addendum to “The KolmogorovRiesz compactness theorem” [Expo. Math. 28 (2010) 385–394]
(Journal article; Peer reviewed, 2016)We show how to improve on Theorem 10 in HancheOlsen and Holden (2010), describing when subsets in W1,p(Rn) are totally bounded subsets of Lq(Rn) for p 
Additive og subadditive funksjoner og AuslanderReitenquiver
(Master thesis, 2016)I denne oppgaven studerer vi Cartanmatriser, additive og subadditive funksjoner og translasjonsquivre. Spesielt vil vi se hvordan additive og subadditive funksjoner er definert både for Cartanmatriser og for translasjonsquivre, ... 
Adeles in Mathematical Physics
(Master thesis, 2012)Vi vil utforske bruken av adeler i matematisk fysikk.