Department of Mathematics
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Recent Submissions
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Application of Hilbert-Huang Transform in Bearing Fault Detection
(The University of Bergen, 2020-03-21)Master thesis -
Flow in Fractured Porous Media: A Review of Conceptual Models and Discretization Approaches
(Springer, 2019)The last decade has seen a strong increase of research into flows in fractured porous media, mainly related to subsurface processes but also in materials science and biological applications, as connected fractures can ...Journal article -
Fully dispersive water wave equations
(The University of Bergen, 2020-02-21)The PhD project concerns the surface water wave theory. Liquid is presented as a three or two dimensional layer bounded from below by a rigid horizontal bottom. Above it can have either a free surface or an elastic layer ...Doctoral thesis -
Mathematical modeling of fresh water plumes in fjords
(The University of Bergen, 2020-03-07)Nutrients are basic elements for healthier biological process in the ocean.The waters in parts of the fjord like some of the worlds coastal areas doesn’t experience exchange between the coast and nutrient and oxygen rich ...Master thesis -
Stochastic data assimilation of observations with a detection limit
(The University of Bergen, 2019-09-16)Doctoral thesis -
Estimation and identifiability of kinetic parameters in dynamical models of biochemical reaction networks
(The University of Bergen, 2020-02-18)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, 2020-01-24)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 -
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
