Browsing Department of Mathematics by Title
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Multivariate count autoregression
(Journal article; Peer reviewed, 2020)We are studying linear and loglinear models for multivariate count time series data with Poisson marginals. For studying the properties of such processes we develop a novel conceptual framework which is based on copulas. ... 
Mønstre og kvalitet. Analyse av samtaler i matematikkundervisning
(Master thesis, 20150603)Oppgaven diskuterer hvordan man kan analysere samtaler mellom lærer og elever i matematikkundervisning. Deretter diskuterer oppgaven hva som kjennetegner en kvalitativ god samtale. 
Natural Convection in Layered Porous Media between Coaxial Cylinders
(Master thesis, 20150531)In this thesis a mathematical model is developed to describe the onset of natural convection in a twolayer porous medium located between two coaxial cylinders, motivated by natural convection processes in geothermal ... 
Negativ binomisk regresjon med modifiserte sannsynligheter for nullobservasjoner; ZINB og ZANB
(Master thesis, 20131106)Regresjonsmodeller av Poisson og negativ binomisk fordeling blir ofte brukt til å utføre regresjonsanalyse på datasett innen medisin, biologi, økonomi og mange andre fagfelt. Det oppstår ofte tilfeller der andelen av ... 
Network analysis of Arabidopsis mitochondrial dynamics reveals a resolved tradeoff between physical distribution and social connectivity
(Journal article; Peer reviewed, 2021)Mitochondria in plant cells exist largely as individual organelles which move, colocalize, and interact, but the cellular priorities addressed by these dynamics remain incompletely understood. Here, we elucidate these ... 
New Conceptual Toxicokinetic Model to Assess Synergistic Mixture Effects between the Aromatic Hydrocarbon βNaphthoflavone and the Azole Nocodazole on the CYP1A Biomarker in a Fish Cell Line
(Journal article; Peer reviewed, 2020)Toxicokinetic interactions with catabolic cytochrome P450 (CYP) enzymes can inhibit chemical elimination pathways and cause synergistic mixture effects. We have created a mathematical bottomup model for a synergistic ... 
New examples of curves with a onedimensional family of pencils of minimal degree
(Peer reviewed; Journal article, 20110714)We give a geometric construction of sublinear systems on a K3 surface consisting of smooth curves C with infinitely many g1 gon(C)’s. 
A new framework for assessing subjectspecific whole brain circulation and perfusion using MRIbased measurements and a multiscale continuous flow model
(Peer reviewed; Journal article, 20190625)A large variety of severe medical conditions involve alterations in microvascular circulation. Hence, measurements or simulation of circulation and perfusion has considerable clinical value and can be used for diagnostics, ... 
A New Preconditioner for Iterative Phase Splitting Routines
(Master thesis, 2002)This thesis proposes a new, faster, noniterative phase split estimate for multi component mixtures, and compares it with the previously published method of Wang and Stenby, in terms of their suitability as possible ... 
Nivådeling i matematikk på ungdomsskolen  en kvalitativ undersøkelse
(Master thesis, 20120530)I Kunnskapløftet, K06, legges det stor vekt på tilpasset opplæring til hver enkelt elev. Flere ungdomsskoler har innført nivådeling i matematikk som et tiltak for å imøtekomme dette kravet. I Norge står enhetsskoletanken ... 
Noen metoder for analyse av alderperiodekohortmodeller
(Master thesis, 2008) 
Noen sammenhenger mellom grafer, matroider, lineære koder og trelliser
(Master thesis, 2008) 
Noncommutative Harmonic Analysis: Generalization of Phase Correlation to the Euclidean Motion Group
(Master thesis, 20100610)This thesis is about noncommutative harmonic analysis, and generalization of phase correlation to the euclidean motion group and application in image processing. 
NonSlit Solutions to the Loewner Equation
(Master thesis, 20100430)We study conditions on the driving term of the Loewner equation which guarantee that the equation generates slits. We construct a new family of examples of nonslit solutions which generalize Kufarev's example, in which ... 
Nonstandard shocks in the BuckleyLeverett equation
(Peer reviewed; Journal article, 201508)It is shown how delta shock waves which consist of Dirac delta distributions and classical shocks can be used to construct nonmonotone solutions of the Buckley–Leverett equation. These solutions are interpreted using a ... 
Nonemptiness of severi varieties on enriques surfaces
(Journal article; Peer reviewed, 2023)Let (S,L) be a general polarised Enriques surface, with L not numerically 2divisible. We prove the existence of regular components of all Severi varieties of irreducible nodal curves in the linear system L , that is, ... 
Nonholonomic geometry on finite and infinite dimensional Lie groups and rolling manifolds
(Doctoral thesis, 20120330)Part I: We start by giving some background on the topics discussed in this thesis. The main topic of the thesis is nonholonomic geometry. In Chapter 1 we give an introduction of nonholonomic geometry in the context of ... 
Nonhydrostatic pressure in ocean models with focus on wind driven internal waves
(Doctoral thesis, 20100205) 
Nonlinear crossspectrum analysis via the local Gaussian correlation
(Journal article, 2017)Spectrum analysis can detect frequency related structures in a time series \(\{Y_t\}_{t\in\mathbb{Z}}\), but may in general be an inadequate tool if asymmetries or other nonlinear phenomena are present. This limitation is ... 
Nonlinear Effects During Transient Fluid Flow in Reservoirs as Encountered in WellTest Analysis
(Department of Applied Mathematics report, Research report, 198503)