Department of Mathematics
Recent Submissions
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The direct monodromy problem and isomonodromic deformations for the Rabi model.
(Master thesis, 2022-06-08) -
Fully Automatic Whole-Volume Tumor Segmentation in Cervical Cancer
(Journal article; Peer reviewed, 2022-05-11)Uterine cervical cancer (CC) is the most common gynecologic malignancy worldwide. Whole-volume radiomic profiling from pelvic MRI may yield prognostic markers for tailoring treatment in CC. However, radiomic profiling ... -
Utfordringer i klasseromssamtalen
(Master thesis, 2022-06-01)Utfordringer i klasseromssamtalen er en masteroppgave som har tatt for seg temaet kommunikasjon og klasseromssamtaler i matematikkundervisning. Sammen med en medstudent har jeg gjennomført et opplegg i tre forskjellige ... -
«Det var jo en åpenbaring. Blir nesten som om vi har oppdaget en ny religion!» En casestudie av et utforskende Matematikk 1T-klasserom.
(Master thesis, 2022-06-01)Denne masteroppgaven presenterer en casestudie som ser på hvordan en erfaren og engasjert matematikklærer kan få til et utforskende klasserom, der læring skjer i samhandling mellom elevene. Målet med forskningsprosjektet ... -
Opplevelser og følelser ved problemløsning i matematikk
(Master thesis, 2022-02-03) -
A Comparison of the local Gaussian correlation and the local dependence function
(Master thesis, 2022-06-01)Correlation is a method to measure the relation between two or more variables. In this thesis, a method of measuring correlation and a method of measuring dependence are used. These two methods, are the local Gaussian ... -
A simulation study of the basin water renewal in the Norwegian thershold fjord Haugsværfjorden
(Master thesis, 2022-06-01) -
Infinity-categorical Thom spectra
(Master thesis, 2022-06-01) -
A posteriori error estimation and modeling of unsaturated flow in fractured porous media
(Doctoral thesis, 2022-06-17)This doctoral thesis focuses on three topics: (1) modeling of unsaturated flow in fractured porous media, (2) a posteriori error estimation for mixed-dimensional elliptic equations, and (3) contributions to open-source ... -
A Finite-Volume-Based Module for Unsaturated Poroelasticity
(Chapter, 2021)In this chapter, we present fv-unsat, a multipoint finite-volume–based solver for unsaturated flow in deformable and nondeformable porous media. The latter is described using the mixed form of Richards’ equation, whereas ... -
Socioeconomic and geographic differences in ablation of atrial fibrillation in Norway - a national cohort study
(Journal article; Peer reviewed, 2022)Background The aim of this study was to analyse whether there are patient related or geographic differences in the use of catheter ablation among atrial fibrillation patients in Norway. Methods National population-based ... -
Sub-Riemannian geometry and its applications to Image Processing
(Master thesis, 2022-06-01) -
Interdisciplinary and Transferable Concepts in Bioinformatics Education: Observations and Approaches From a UK MSc Course
(Journal article; Peer reviewed, 2022-02-24)Bioinformatics is a highly interdisciplinary subject, with substantial and growing influence in health, environmental science and society, and is utilised by scientists from many diverse academic backgrounds. Education in ... -
Modelling clusters of corporate defaults: Regime-switching models significantly reduce the contagion source
(Journal article; Peer reviewed, 2022)In this paper, we report robust evidence that the process of corporate defaults is time-dependent and can be modelled by extending an autoregressive count time series model class via the introduction of regime-switching. ... -
Rotational effects on exchange flows across a submerged sill
(Journal article; Peer reviewed, 2021)This paper presents new laboratory-scale numerical simulations of density-driven exchange flows generated across an idealised, submerged sill obstruction under both non-rotating and rotating frames of reference using the ... -
Hidden semi-Markov-switching quantile regression for time series
(Journal article; Peer reviewed, 2021)A hidden semi-Markov-switching quantile regression model is introduced as an extension of the hidden Markov-switching one. The proposed model allows for arbitrary sojourn-time distributions in the states of the Markov-switching ... -
Dispersive Estimates for Full Dispersion KP Equations
(Journal article; Peer reviewed, 2021)We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev–Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Kadomtsev–Petviashvili equations. The proof ... -
A mathematical justification of the momentum density function associated to the KdV equation
(Journal article; Peer reviewed, 2021)Consideration is given to the KdV equation as an approximate model for long waves of small amplitude at the free surface of an inviscid fluid. It is shown that there is an approximate momentum density associated to the KdV ... -
Optimal strategies in the Fighting Fantasy gaming system: influencing stochastic dynamics by gambling with limited resource
(Journal article; Peer reviewed, 2022)In many games and other processes, participants can choose to intervene in some way that does not follow the usual progress of the game (for example, cheating at cards, or spying on rivals) which may provide benefits, but ... -
Epistemic Uncertainty Quantification in Deep Learning by the Delta Method
(Doctoral thesis, 2022-05-16)This thesis explores the Delta method and its application to deep learning image classification. The Delta method is a classical procedure for quantifying uncertainty in statistical models, but its direct application to ...
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