Browsing Department of Mathematics by Issue Date
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Estimation and identifiability of kinetic parameters in dynamical models of biochemical reaction networks
(The University of Bergen, 20200218)This dissertation is a partial fulfillment of the requirements for the degree Doctor of Philosophy (PhD) at the Department of Mathematics, University of Bergen. The subject of the thesis is estimation of parameters in ...Doctoral thesis 
Preconditioning for Flow in Fractured Porous Media
(The University of Bergen, 20200124)The key to reliable simulations of flow in fractured porous media is the proper design, analysis and implementation of numerical methods. These methods should take into account the specific properties of the underlying ...Doctoral thesis 
Mathematical and Numerical Analysis of Flow in Deformable Porous Media
(The University of Bergen, 20191127)This dissertation focuses on the mathematical analysis and numerical solution of coupled deformation and flowrelated processes in porous media, modeled by the theory of poroelasticity. It comprises contributions within ...Doctoral thesis 
Iterative solvers for poromechanics : Iterative solvers for poromechanics
(The University of Bergen, 20191122)This thesis concerns iterative solvers for poromechanics problems. The problems in the studies have involved linear poromechanics, nonlinear poromechanics, and poromechanics under large deformation. We included high ...Doctoral thesis 
Numerical methods for coupled processes in fractured porous media
(The University of Bergen, 20191115)Numerical simulations have become essential in the planning and execution of operations in the subsurface, whether this is geothermal energy production or storage, carbon sequestration, petroleum production, or wastewater ...Doctoral thesis 
Model Construction with Support Vector Machines and Gaussian Processes through Kernel Search
(The University of Bergen, 20190816)Master thesis 
CloseKin MarkRecapture Models
(The University of Bergen, 20190709)CloseKin MarkRecapture (CKMR) is a recent extension of the ordinary mark–recapture methods used to estimate animal abundance and other population parameters. Where ordinary mark–recapture only consider the subsequent ...Master thesis 
Effects of thermallydependent rock parameters on fracture reactivation
(The University of Bergen, 20190709)The slip tendency is an important tool to measure fracture reactivation in thecontext of subsurface engineering applications. In this thesis, the effects of thermallydependent rock parameters such as Young’s modulus on ...Master thesis 
Statistical approaches for constructing runoff maps  Random forest, linear models and spatial models tested for predictive performance of ungauged catchments in Norway
(The University of Bergen, 20190709)In this thesis we study statistical approaches to tackle predictions of ungauged catchments in Norway. In collaboration with Norwegian Water Resources and Energy Directorate (NVE) we use observations of runoff, catchment ...Master thesis 
Upscaling, analysis, and iterative numerical solution schemes for thermoporoelasticity
(The University of Bergen, 20190628)The main objectives of this research project is to provide part of the mathematical models and simulation technology required to assess largescale deployment of thermomechanical subsurface energy storage in the context ...Doctoral thesis 
Mathematical modeling of microbial enhanced oil recovery with focus on bioplug technology: from the pore to the core scale
(The University of Bergen, 20190614)This dissertation addresses the applications and challenges of both laboratory experiments and mathematical modeling at different scales, where the main character is biofilm. Thus, the first part of this work shows ...Doctoral thesis 
Bayesian and frequentist computation with application to data from the Medical Birth Registry of Norway
(The University of Bergen, 20190425)In chapter 1, the field of statistics is discussed in general terms. Then, Bayes’ theorem is presented together with the posterior distribution. Finally, we consider maximum likelihood estimation and its relation to ...Doctoral thesis 

Wellposedness of the fully coupled quasistatic thermoporoelastic equations with nonlinear convective transport
(Elsevier, 201903)This paper is concerned with the analysis of the quasistatic thermoporoelastic model. This model is nonlinear and includes thermal effects compared to the classical quasistatic poroelastic model (also known as Biot's ...Journal article 
Drivers of the summerdistribution of Northeast Atlantic mackerel (Scomber scombrus) in the Nordic Seas from 2011 to 2017; a Bayesian hierarchical modelling approach
(Oxford University Press, 201903)Identifying factors that are statistically correlated with the geographical distribution dynamics of a species can facilitate our understanding of causal physiological and ecological relationships. Northeast Atlantic (NEA) ...Journal article 
A Simulation Study of GoodnessofFit Tests for Binary Regression with Applications to Norwegian Intensive Care Registry Data
(The University of Bergen, 20190131)When using statistical methods to fit a model, the consensus is that it is possible to represent a complex reality in the form of a simpler model. It is helpful to systematically measure a model’s ability to capture the ...Master thesis 
A Likelihood Ratio and Markov ChainBased Method to Evaluate Density Forecasting
(Wiley, 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 ...Journal article 
Derived equivalences of canonical covers of hyperelliptic and Enriques surfaces in positive characteristic
(Springer, 2019)We prove that any Fourier–Mukai partner of an abelian surface over an algebraically closed field of positive characteristic is isomorphic to a moduli space of Giesekerstable sheaves. We apply this fact to show that the ...Journal article 
Analysis of the probability of default in peertopeer lending. Application of different classification techniques.
(The University of Bergen, 20181222)In this thesis, peertopeer lending is explored and analyzed with the objective of fitting a model to accurately predict if borrowers default on their loans or not. The foundation for the thesis is a dataset from LendingClub, ...Master thesis 
Videregåendeelevers strategier i brøkoppgaver. Hvilke deler av brøkbegrepet er synlige i strategiene?
(The University of Bergen, 20181219)Behr, Lesh, Post & Silver (1983) mener at rasjonale tall er blant de mest komplekse og viktigste matematiske idéene barn i grunnskolen skal lære og jeg ønsket derfor å se nærmere på brøkkunnskapene til elever etter ...Master thesis