Department of Mathematics
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Recent Submissions
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A Simulation Study of Goodness-of-Fit Tests for Binary Regression with Applications to Norwegian Intensive Care Registry Data
(The University of Bergen, 2019-01-31)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 -
"Eg tenkte jo det hadde nåke med n å gjer, eg skjønte jo det". Bruk av Five Practices i arbeid med generalisering av figurmønster
(The University of Bergen, 2018)I denne oppgåva har eg brukt ei alternativ undervisningsmetode kalla Five Practices i arbeidet med generalisering av figurmønster. Ved å gjennomføre to identiske testar, ein før og ein etter prosjektperioden, har eg sett ...Master thesis -
Å omsetje mellom mellom ulike representasjonar av funksjonar. Ei kvalitativ undersøking av elevar sine løysingsstrategiar i matematikkfaget 1P.
(The University of Bergen, 2018)I denne studien har løysingsstrategiar for å omsetje mellom ulike representasjonar av lineære funksjonar vore i fokus. Følgande forskingsspørsmål har vore grunnlag for arbeidet: 1. Kva løysingsstrategiar brukar elevar i ...Master thesis -
Water renewal in a threshold fjord: A simulation study of submerged fresh water discharge
(The University of Bergen, 2018-12-15)Threshold fjords are characterized by low concentrations of oxygen in the depths of the basin, caused by weak and/or infrequent exchange of the basin water. A three-dimensional ocean model, The Bergen Ocean Model (BOM), ...Master thesis -
Different aspects of the hodograph transform and Riemann invariants for the shallow water equations
(The University of Bergen, 2018-12-15)The aim of this work is to visualize irrotational long wave on a sloping beach by following the approach of Carrier and Greenspan [5]. We first derive the non-linear shallow-water equations for sloping beach and then ...Master thesis -
Analysis of the probability of default in peer-to-peer lending. Application of different classification techniques.
(The University of Bergen, 2018-12-22)In this thesis, peer-to-peer 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, 2018-12-19)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 -
Lagrangian dynamics for solid multi-body systems with the Moving Frame formalism
(The University of Bergen, 2018-12-11)Classical mechanics is the study of the motion of particles, solid bodies or of systems of bodies, and the effects of forces and moments on them. The dynamical behavior may either be studied by the application of Newtonian ...Master thesis -
On the optimization of iterative schemes for solving non-linear and/or coupled PDEs
(The University of Bergen, 2018-12-11)In this thesis we study the optimization of iterative schemes as both linearization methods, and as splitting methods for solving non-linear and coupled partial differential equations (PDEs). We consider two equations that ...Master thesis -
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