Department of Mathematics
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Recent Submissions
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Numerical methods for coupled processes in fractured porous media
(The University of Bergen, 2019-11-15)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 -
Cellulære oppløsninger av utvalgte klasser av monomialidealer
(The University of Bergen, 2011-05-31)Oppgaven omhandler konstruksjon av cellulære oppløsninger for monomialidealer, hovedsaklig kantidealer til Ferrersgrafer, sterkt stabile hypergrafer og kointervallgrafer. Oppgaven diskuterer også konstruksjon av merkede ...Master thesis -
Comparison of Iterative Solvers for Non-Symmetric Linear Systems in Porous Media Problems
(The University of Bergen, 2014-09-02)We investigate the performance of the IDR(s)-algorithms when solving nonsymmetric systems in porous media problems. We derive a mathematical model for the flow in porous media, and discretized this with the method known ...Master thesis -
Mathematical and Numerical Analysis of Flow in Deformable Porous Media
(The University of Bergen, 2019-11-27)This dissertation focuses on the mathematical analysis and numerical solution of coupled deformation- and flow-related processes in porous media, modeled by the theory of poro-elasticity. It comprises contributions within ...Doctoral thesis -
Iterative solvers for poromechanics : Iterative solvers for poromechanics
(The University of Bergen, 2019-11-22)This thesis concerns iterative solvers for poromechanics problems. The problems in the studies have involved linear poromechanics, non-linear poromechanics, and poromechanics under large deformation. We included high ...Doctoral thesis -
Statistical approaches for finding the immigrant women’s political participation in 2015 local elections and 2017 national elections
(The University of Bergen, 2019-12-17)Master thesis -
Convolutional Neural Networks for Malaria Detection
(The University of Bergen, 2019-12-13)Together with doctors at Haukeland University Hospital in Bergen, we wanted to research how the diagnosis of malaria can be improved. We propose a method that can detect malaria parasites (Plasmodium falciparum) in microscope ...Master thesis -
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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 Gieseker-stable sheaves. We apply this fact to show that the ...Journal article -
Bayesian and frequentist computation with application to data from the Medical Birth Registry of Norway
(The University of Bergen, 2019-04-25)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 -
Model Construction with Support Vector Machines and Gaussian Processes through Kernel Search
(The University of Bergen, 2019-08-16)Master thesis -
Drivers of the summer-distribution of Northeast Atlantic mackerel (Scomber scombrus) in the Nordic Seas from 2011 to 2017; a Bayesian hierarchical modelling approach
(Oxford University Press, 2019-03)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 Likelihood Ratio and Markov Chain-Based 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 -
Upscaling, analysis, and iterative numerical solution schemes for thermo-poroelasticity
(The University of Bergen, 2019-06-28)The main objectives of this research project is to provide part of the mathematical models and simulation technology required to assess large-scale deployment of thermomechanical subsurface energy storage in the context ...Doctoral thesis -
Upscaling of the Coupling of Hydromechanical and Thermal Processes in a Quasi-static Poroelastic Medium
(Springer, 2018-08)We undertake a formal derivation of a linear poro-thermo-elastic system within the framework of quasi-static deformation. This work is based upon the well-known derivation of the quasi-static poroelastic equations (also ...Journal article -
Close-Kin Mark-Recapture Models
(The University of Bergen, 2019-07-09)Close-Kin Mark-Recapture (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 thermally-dependent rock parameters on fracture reactivation
(The University of Bergen, 2019-07-09)The slip tendency is an important tool to measure fracture reactivation in thecontext of subsurface engineering applications. In this thesis, the effects of thermally-dependent 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, 2019-07-09)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 -
Mathematical modeling of microbial enhanced oil recovery with focus on bio-plug technology: from the pore to the core scale
(The University of Bergen, 2019-06-14)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 -
Estimating the discretization dependent accuracy of perfusion in coupled capillary flow measurements
(Public Library of Science, 2018-07-20)One-compartment models are widely used to quantify hemodynamic parameters such as perfusion, blood volume and mean transit time. These parameters are routinely used for clinical diagnosis and monitoring of disease development ...Journal article
