Browsing Department of Mathematics by Issue Date
Now showing items 120 of 436

A Simulation Study of GoodnessofFit Tests for Binary Regression with Applications to Norwegian Intensive Care Registry Data
(The University of Bergen, 20190131)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 
Analysis of the probability of default in peertopeer lending. Application of different classification techniques.
(The University of Bergen, 20181222)In this thesis, peertopeer 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, 20181219)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 
Different aspects of the hodograph transform and Riemann invariants for the shallow water equations
(The University of Bergen, 20181215)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 nonlinear shallowwater equations for sloping beach and then ...Master thesis 
Water renewal in a threshold fjord: A simulation study of submerged fresh water discharge
(The University of Bergen, 20181215)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 threedimensional ocean model, The Bergen Ocean Model (BOM), ...Master thesis 
On the optimization of iterative schemes for solving nonlinear and/or coupled PDEs
(The University of Bergen, 20181211)In this thesis we study the optimization of iterative schemes as both linearization methods, and as splitting methods for solving nonlinear and coupled partial differential equations (PDEs). We consider two equations that ...Master thesis 
Lagrangian dynamics for solid multibody systems with the Moving Frame formalism
(The University of Bergen, 20181211)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 
An Exploratory Analysis of MultiClass Uncertainty Approximation in Bayesian Convolutional Neural Networks
(The University of Bergen, 20181122)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 
Fish louse and treatment options: A mathematical approach
(The University of Bergen, 20180904)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, 20180627)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 
Model Spaces in Riemannian and SubRiemannian Geometries
(The University of Bergen, 20180627)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 

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 
Numerical solution of driftdiffusion and electrostatic potential equations for solar cells.
(The University of Bergen, 20180622)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 timedependent Schrödinger equation.
(The University of Bergen, 20180622)On the atomic scale the timedependent 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 
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, 20180621)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 studies of rotationally controlled lock exchange flow over a sill
(The University of Bergen, 20180621)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 
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