Browsing Department of Mathematics by Issue Date
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Implementation of an MPFA/MPSAFV Solver for the Unsaturated Flow in Deformable Porous Media
(The University of Bergen, 20180622)The Unsaturated Flow In Deformable Porous Media (UFIDPM) plays a crucial role in several academic and industrial applications such as; cracks induced by desiccation, collapsing soils, ground movement involving expansive ...Master thesis 
Parameter Estimation of Multivariate Factor Stochastic Volatility Models
(The University of Bergen, 20180622)Volatility is a crucial aspect of risk management and important to accurately quantify. A broad range of models and methods tackle this problem, but there is no consensus to exactly which method or model that solves this ...Master thesis 
Horisontkunnskap i aksjon. Om lærernes syn på relevansen av avansert matematisk kunnskap i undervisningsarbeidet
(The University of Bergen, 20180620)In this master’s thesis I have examined in which ways Norwegian secondary teachers in mathematics think they need advanced mathematical knowledge in their teaching practice, and I have discussed this against the concept ...Master thesis 
Matematikk i kjemi. Hva er så vanskelig?
(The University of Bergen, 20180620)I denne masteroppgaven har matematikk i kjemi hatt hovedfokus. Følgende forskningsspørsmål har vært grunnlag for arbeidet: • Med utgangspunkt i matematikkemner som kreves i kjemi, hvilke matematikkoppgaver viser flest ...Master thesis 
Time Series: Forecasting and Evaluation Methods With Concentration On Evaluation Methods for Density Forecasting
(The University of Bergen, 20180606)The main focus of this thesis are density forecasts and the corresponding evaluation methods. A density forecast is an estimate of the probability density of predicted values. Density forecasts and the related evaluation ...Master thesis 
Conforming Discretizations of MixedDimensional Partial Differential Equations
(The University of Bergen, 20180601)Mixeddimensional partial differential equations (PDEs) are coupled equations defined on connected manifolds of different dimensionalities. Two main examples of mixeddimensional PDEs are considered in this dissertation, ...Doctoral thesis 
ThetaRegularity and LogCanonical Threshold
(The University of Bergen, 20180530)The logcanonical threshold is an invariant that is widely used in modern birational geometry. It contains information regarding the singularities of sheaves of ideals. The thetaregularity index is a regularity condition ...Master thesis 
Optimal design of photovoltaic power plants
(The University of Bergen, 20180530)The configuration of the photovoltaic panels is important to maximize the energy output of a photovoltaic power plant. In this thesis, I have developed an algorithm calculating the optimal solution for the design of a solar ...Master thesis 
Klassestørrelsens betydning for undervisningens innhold. En sammenligning av læreres undervisningspraksis i liten og stor klasse
(The University of Bergen, 20180508)The importance of class size for the content of the teaching is a master's thesis that, using qualitative methods, tries to answer the question of how is the content of mathematics teaching in the upper secondary school ...Master thesis 
Numerical modeling of shear stimulation in naturally fractured geothermal reservoirs
(The University of Bergen, 20180322)Sheardilationbased hydraulic stimulations are conducted to create enhanced geothermal systems (EGS) from low permeable geothermal reservoirs, which are initially not amenable to energy production. Reservoir stimulations ...Doctoral thesis 
Development and implementation of the generalized continuum model for transport in porous media
(The University of Bergen, 20180319)Fluid flow phenomena in porous media have always attracted a lot of attention of scientists and engineers. Attempts to quantify the average transport in homogeneous media with a simple partial differential equation with ...Doctoral thesis 
Using the bottleneck distance to compare homological methods of detecting atmospheric rivers
(The University of Bergen, 20180221)Master thesis 
Model development for efficient simulation of CO2 storage
(The University of Bergen, 20180216)Carbon capture and storage (CCS) is an important component of several initiatives to reduce global greenhouse gas emissions by injecting and storing CO2 in underground reservoirs. Simulation technology plays an important ...Doctoral thesis 
Robust Discretization of Flow in Fractured Porous Media
(SIAM, 2018)Flow in fractured porous media represents a challenge for discretization methods due to the disparate scales and complex geometry. Herein we propose a new discretization, based on the mixed finite element method and mortar ...Journal article 
Fører omvendt undervisning til høyere læringsutbytte?
(The University of Bergen, 20171220)Omvendt undervisning blir mer og mer populært. Omvendt undervisning er en undervisningsmetode hvor gjennomgangen av nye temaer gjøres ved at elevene ser en videoforelesning hjemme, når eleven kommer på skolen vil fokuset ...Master thesis 
Vertical equilibrium models for coupled flow and transport problems
(The University of Bergen, 20171220)A better understanding of viscous fingering can help to increase the recovery of hydrocarbons. The need for modelling the impact of viscous fingering is great as it largely dictates the sweep quality of hydrocarbons in a ...Master thesis 
En studie av Letterplace og Coletterplaceidealer over et poset P, når P = 2,3
(The University of Bergen, 20171220)Master thesis 
Persistent Homology via Quotient Spaces
(The University of Bergen, 20171220)A point cloud can be endowed with a topological structure by constructing a simplicial complex using the points as vertices. Instead of assigning a single simplicial complex, Topological Data Analysis (TDA) employs multiple ...Master thesis 
Numerisk modellering av grunne geotermiske systemer. Modellering og analyse av Komplett Arena, samt sammenligning av to ulike modelleringsverktøy
(The University of Bergen, 20171214)Numeriske modelleringsverktøy har utviklet seg til å bli et viktig verktøy ved prosjektering av større geotermiske systemer. Korrekt anvendelse av slike verktøy sørger for at tilhørende simuleringsresultater gir et ...Master thesis 
Analytical, combinatorial and topological properties of quadratic differentials and their applications
(The University of Bergen, 20171213)Quadratic differentials ﬁrst appeared in 1930s in works of Teichmuller in connection with moduli problem for Riemann surfaces. Later it was revealed that quadratic differ entials and their trajectories give solutions ...Doctoral thesis