Browsing Department of Mathematics by Title
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Kalmanfilteret anvendt på en problemstilling innen seismikk
(Master thesis, 20091125)I denne oppgaven er målet å estimere, samt predikere, posisjonen til seimikkkabler sekvensielt. Dessuten blir det studert om målinger fra et akselerometer, festet på seismikkkabelen, gir sikere inferens om posisjonen. 
Karakterisering av strømning gjennom en forkastning med fault facies og standardmodell ved bruk av reservoarsimulator
(Master thesis, 20111121)Forkastninger har en betydelig innvirkning på strømninger i et reservoar. Hittil har forkastninger blitt modellert som en flate eller et plan i vanlige reservoarsimulatorer, men studier har vist at forkastninger ofte må ... 
Kinetic Equation for an Electron Gas (NonNeutral Plasma) in Strong Fields and Inhomogenities
(Department of Applied Mathematics report, Research report, 197806) 
Kinetic Theory for Evolution of a Plasma in External Electromagnetic Fields toward a State characterized by Balance of Forces Transverse to the Magnetic Field
(Department of Applied Mathematics report, Research report, 197304) 
Klasseromsforsøk om lagring av CO2 under havbunnen
(Journal article, 2010) 
Klassestørrelsens betydning for undervisningens innhold. En sammenligning av læreres undervisningspraksis i liten og stor klasse
(Master thesis, 20180508)The importance of class size for the content of the teaching is a master's thesis that, using qualitative methods, tries to answer the question of how is the content of mathematics teaching in the upper secondary school ... 
A lagrangian approach to extremal curves on stiefel manifolds
(Journal article; Peer reviewed, 2021)A unified framework for studying extremal curves on real Stiefel manifolds is presented. We start with a smooth oneparameter family of pseudoRiemannian metrics on a product of orthogonal groups acting transitively on ... 
Lagrangian dynamics for solid multibody systems with the Moving Frame formalism
(Master thesis, 20181211)Classical mechanics is the study of the motion of particles, solid bodies or of systems of bodies, and the effects of forces and moments on them. The dynamical behavior may either be studied by the application of Newtonian ... 
Lagrangian Measurements of Orbital Velocities in the Surf Zone
(Journal article; Peer reviewed, 2021)Eulerian and Lagrangian measurements of orbital velocities in waves approaching a beach are analyzed with the goal of understanding the relative influence of wavebywave variations in meanwater level, wave height and ... 
A Lanczosview on Independent Component Analysis of fMRI Data
(Master thesis, 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 caused ... 
LatticeBoltzmann modelling of spatial variation in surface tension and wetting effects
(Doctoral thesis, 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 ... 
Layout of CCS monitoring infrastructure with highest probability of detecting a footprint of a CO2 leak in a varying marine environment
(Peer reviewed; Journal article, 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 ... 
Lévy processes and Lévy copulas with an application in insurance
(Master thesis, 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 ... 
Lie groupoids of mappings taking values in a Lie groupoid
(Journal article; Peer reviewed, 2020)Endowing differentiable functions from a compact manifold to a Lie group with the pointwise group operations one obtains the socalled current groups and, as a special case, loop groups. These are prime examples of ... 
Lie Groups and the Principle of Virtual Work Applied to Systems of Linked Rigid Bodies. A generic algorithm for the equations of motion using the moving frame method in engineering
(Master thesis, 20180627)This thesis explores the possibility of a generic algorithm for systems of linked rigid bodies using the moving frame method (MFM) in engineering developed by H. Murakami and T.Impelluso. The project entails the construction ... 
Lie–Butcher series and geometric numerical integration on manifolds
(Doctoral thesis, 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 ... 
Likelihood Estimation of JumpDiffusions. Extensions from Diffusions to JumpDiffusions, Implementation with Automatic Differentiation, and Applications
(Master thesis, 20160602)This thesis considers the problem of likelihood based parameter estimation for timehomogeneous jumpdiffusion processes. The problem is that there often is no analytic solution to the stochastic differential equations ... 
A Likelihood Ratio and Markov ChainBased Method to Evaluate Density Forecasting
(Peer reviewed; Journal article, 2019)In this paper, we propose a likelihood ratio based method to evaluate density forecasts which can jointly evaluate the unconditional forecasted distribution and dependence of the outcomes. Unlike the well‐known Berkowitz ... 
Linear and Nonlinear Convection in Porous Media between Coaxial Cylinders
(Master thesis, 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 ... 
Linear and nonlinear convection in porous media between coaxial cylinders
(Peer reviewed; Journal article, 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 ...