Department of Mathematics
Recent Submissions
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Programmering som inngangsport til algoritmisk tenking - Ein mixed methods studie av 1P-elevars erfaringar, forståing og syn knytt til programmering i matematikkundervisninga
(Master thesis, 2020-12-20)Målet med denne studien var å kartlegge tre aspekt knytt til 1P-elevar sitt fyrste møte med bruk av programmering i matematikkundervisninga; deira erfaringar med programmering før undervisninga tek til, og deira forståing ... -
Horizontal holonomy and foliated manifolds
(Journal article; Peer reviewed, 2019)We introduce horizontal holonomy groups, which are groups defined using parallel transport only along curves tangent to a given subbundle D of the tangent bundle. We provide explicit means of computing these holonomy groups ... -
Impact and detectability of hypothetical CCS offshore seep scenarios as an aid to storage assurance and risk assessment
(Journal article; Peer reviewed, 2020)Carbon Capture and Storage has the potential to make a significant contribution to the mitigation of climate change, however there is a regulatory and societal obligation to demonstrate storage robustness and minimal local ... -
Are Central Bankers Inflation Nutters? An MCMC Estimator of the Long-Memory Parameter in a State Space Model
(Journal article; Peer reviewed, 2019)Inflation targeting is a common monetary policy regime. Inflation targets are often flexible in the sense that the central bank allows inflation to temporarily deviate from the target to avoid causing unnecessary volatility ... -
Assessing non-linearity in European temperature-sensitive tree-ring data
(Journal article; Peer reviewed, 2020-02)We test the application of parametric, non-parametric, and semi-parametric calibration models for reconstructing summer (June–August) temperature from a set of tree-ring width and density data on the same dendro samples ... -
Optimal sensors placement for detecting CO2 discharges from unknown locations on the seafloor
(Journal article; Peer reviewed, 2020-04)Assurance monitoring of the marine environment is a required and intrinsic part of CO2 storage project. To reduce the costs related to the monitoring effort, the monitoring program must be designed with optimal use of ... -
Simulering av grunne geotermiske systemer med naturlig konveksjon i borehull
(Master thesis, 2020-12-19)Introduksjon: Grunne geotermiske systemer benyttes til oppvarming og kjøling av husholdninger og større bygg. I etableringsfasen av slike systemer anvendes det modelleringsverktøy for ̊a beregne optimal dimensjonering av ... -
Commutability of Control Materials - Statistical Methods of Evaluation.
(Master thesis, 2020-12-15) -
Differentiability of Products of Formal Power Series
(Master thesis, 2020-12-10) -
Simulation of injection-induced deformation for a stimulation experiment at the Grimsel underground laboratory
(Master thesis, 2020-11-06)Numerical models have increasingly become important tools to complement planning, testing, and implementation of technologies and strategies for geothermal reservoir projects in basement and crystalline igneous rock. Access ... -
Volatility modelling in time and space
(Doctoral thesis, 2020-11-06)This thesis contributes to the scientific community in several aspects. We introduce both spatial- and spatio-temporal extensions to the family of GARCH and ARMA-GARCH models and present asymptotic statistics for the quasi ... -
Dynamical modeling of pathogenic bacteria in surface drinking water
(Master thesis, 2020-10-08)Dynamisk modellering av økologiske systemer har vært et interessant verktøy for å forstå samspillet mellom arter i naturen. I denne oppgaven konstruerer vi et dynamisk system for interaksjon mellom patogene bakterier og ... -
Markov-switching GARCH models with application to insurance claims
(Master thesis, 2020-09-11) -
Hidden Markov and Hidden Semi-Markov models on Financial Timeseries
(Master thesis, 2020-09-11) -
Mathematical and numerical methods for physical regulations of medical images
(Master thesis, 2020-08-25) -
Gradient Methods for Source Identification Problems
(Master thesis, 2020-08-19)In this thesis we are interested in the problem of identifying point sources in an advection-diffusion model, given some measurements. By writing the problem as a minimization problem, we use a non-linear conjugate gradient ... -
HyperTraPS: Inferring probabilistic patterns of trait acquisition in evolutionary and disease progression pathways
(Peer reviewed; Journal article, 2020)The explosion of data throughout the biomedical sciences provides unprecedented opportunities to learn about the dynamics of evolution and disease progression, but harnessing these large and diverse datasets remains ... -
Consistent MPFA Discretization for Flow in the Presence of Gravity
(Peer reviewed; Journal article, 2019)A standard practice used in the industry to discretizing the gravity term in the two‐phase Darcy flow equations is to apply an upwind strategy. In this paper, we show that this can give a persistent unphysical flux field ... -
Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations
(Conference object; Peer reviewed; Journal article, 2019)Mathematical models for flow and reactive transport in porous media often involve non-linear, degenerate parabolic equations. Their solutions have low regularity, and therefore lower order schemes are used for the numerical ... -
Mitochondrial network state scales mtDNA genetic dynamics
(Peer reviewed; Journal article, 2019)Mitochondrial DNA (mtDNA) mutations cause severe congenital diseases but may also be associated with healthy aging. mtDNA is stochastically replicated and degraded, and exists within organelles which undergo dynamic fusion ...
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