Department of Mathematics
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Recent Submissions
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An Exploratory Analysis of Multi-Class Uncertainty Approximation in Bayesian Convolutional Neural Networks
(The University of Bergen, 2018-11-22)Neural networks are an important and powerful family of models, but they have lacked practical ways of estimating predictive uncertainty. Recently, researchers from the Bayesian machine learning community developed a ...Master thesis -
Likelihood Estimation of Jump-Diffusions. Extensions from Diffusions to Jump-Diffusions, Implementation with Automatic Differentiation, and Applications
(The University of Bergen, 2016-06-02)This thesis considers the problem of likelihood- based parameter estimation for time-homogeneous jump-diffusion processes. The problem is that there often is no analytic solution to the stochastic differential equations ...Master thesis -
A continous Dependence Result for nonlinear degenerate parabolic Equations with spatially dependent flux Function.
(Department of Mathematics, University of Bergen, 2000-06)Research report -
Is there an Association between vitamin D status and risk of chronic low back pain? A nested case-Control analysis in the Nord-Trøndelag Health Study
(BMJ, 2017-11-25)Objectives: To explore potential associations between vitamin D status and risk of chronic low back pain (LBP) in a Norwegian cohort, and to investigate whether relationships depend on the season of blood sample ...Journal article -
Physical activity level at work and risk of chronic low back pain: A follow-up in the Nord-Trøndelag Health Study
(PLOS, 2017-04-10)Background: Physical activity in leisure time seems to reduce the risk of low back pain, but it is not known whether occupational activity, as recorded in a representative working population, produces a higher or lower ...Journal article -
Fish louse and treatment options: A mathematical approach
(The University of Bergen, 2018-09-04)Master thesis -
Analytical solutions for aquifer thermal energy storage
(American Geophysical Union, 2017-02)The concept of aquifer thermal energy storage involves injection of water at elevated temperature, and possibly nonambient salinity, into a host aquifer. We consider axisymmetric injection, wherein both the composition and ...Journal article -
Finite volume methods for elasticity with weak symmetry
(Wiley, 2017-11)We introduce a new cell‐centered finite volume discretization for elasticity with weakly enforced symmetry of the stress tensor. The method is motivated by the need for robust discretization methods for deformation and ...Journal article -
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Model Spaces in Riemannian and Sub-Riemannian Geometries
(The University of Bergen, 2018-06-27)The development of Riemannian geometry has been highly influenced by certain spaces with maximal symmetry called model spaces. Following in the footsteps of Klein's Erlangen program, model spaces fit with the approach of ...Master thesis -
Lie Groups and the Principle of Virtual Work Applied to Systems of Linked Rigid Bodies. A generic algorithm for the equations of motion using the moving frame method in engineering
(The University of Bergen, 2018-06-27)This thesis explores the possibility of a generic algorithm for systems of linked rigid bodies using the moving frame method (MFM) in engineering developed by H. Murakami and T.Impelluso. The project entails the construction ...Master thesis -
Geogebra og funksjonar. Elevane si tilnærming til representasjonsskifte i arbeid med funksjonar, med og utan bruk av Geogebra, i matematikk på vidaregåande skule.
(The University of Bergen, 2018-06-20)Digitale hjelpemiddel har for lengst fått sin plass i matematikkundervisninga i norsk skule. I den vidaregåande skulen har dataprogram med grafteiknar også langt på veg erstatta kalkulatorar, som digitalt hjelpemiddel i ...Master thesis -
Forståelse av matematiske tekstoppgaver. Hva bør man som lærer ha tenkt gjennom når man ønsker at elevene skal jobbe med tekstoppgaver i matematikk?
(The University of Bergen, 2018-06-21)Denne studien tar for seg matematiske tekstoppgavers oppbygning og ser på ulike typer utfordringer elever kommer over i møte med tekstoppgaver. Utfordringene handler i stor grad om det å oversette teksten i tekstoppgaver ...Master thesis -
Numerical solution of drift-diffusion and electrostatic potential equations for solar cells.
(The University of Bergen, 2018-06-22)This thesis gives an introduction to how solar panels work and some of the problems for solar cells that need to be solved. Further, it gives an introduction to some physical equations that describe the electrical behavior ...Master thesis -
Numerical solution of the the time-dependent Schrödinger equation.
(The University of Bergen, 2018-06-22)On the atomic scale the time-dependent Schrödinger equation is used but for systems with three or more particles like the helium atom it is not possible to solve the Schrödinger equation exactly. The motivation here is ...Master thesis -
Numerical studies of rotationally controlled lock exchange flow over a sill
(The University of Bergen, 2018-06-21)Numerical experiments of lab scale on dense water inflow in a channel initially filled with freshwater, where a sill is present. The focus has been on the dynamics at the top of the sill, and especially on the behavior of ...Master thesis -
Modelling memory decay after injuries using household survey data from Khartoum State, Sudan
(BioMed Central, 2018-06-20)Background: Injuries represent an important cause of morbidity and mortality worldwide. In retrospective epidemiological studies, estimated rates of reported injuries often decline considerably when information is included ...Journal article -
Advection Upscaling for Heat Transport in Fractured Geothermal Reservoir
(The University of Bergen, 2018-06-20)The main objective in this thesis is to give numerical solution for advection term of heat transport equation in fractured geothermal reservoir. To get better insight in the fracture influence on the processes we will ...Master thesis -
«Oppfatter ikke matematikk som nyttig for min del, siden filmregissører har ikke særlig bruk for faget». En kvantitativ studie av Vg1-elever sine oppfatninger om matematikkfagets nytteverdi
(The University of Bergen, 2018-06-20)Elever sine oppfatninger om matematikk er med på å påvirke læringen i faget. I undervisningstimene kommer ofte spørsmålet om lærestoffet sin relevans opp, og hvilken nytteverdi eleven har av det som skal læres. Samtidig ...Master thesis -
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
(Elsevier, 2018-02)Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture ...Journal article
