Browsing Department of Mathematics by Title
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NonSlit Solutions to the Loewner Equation
(The University of Bergen, 20100430)We study conditions on the driving term of the Loewner equation which guarantee that the equation generates slits. We construct a new family of examples of nonslit solutions which generalize Kufarev's example, in which ...Master thesis 
Nonstandard shocks in the BuckleyLeverett equation
(Elsevier, 201508)It is shown how delta shock waves which consist of Dirac delta distributions and classical shocks can be used to construct nonmonotone solutions of the Buckley–Leverett equation. These solutions are interpreted using a ...Journal article 
Nonholonomic geometry on finite and infinite dimensional Lie groups and rolling manifolds
(The University of Bergen, 20120330)Part I: We start by giving some background on the topics discussed in this thesis. The main topic of the thesis is nonholonomic geometry. In Chapter 1 we give an introduction of nonholonomic geometry in the context of ...Doctoral thesis 
Nonhydrostatic pressure in ocean models with focus on wind driven internal waves
(The University of Bergen, 20100205)Doctoral thesis 
Nonlinear crossspectrum analysis via the local Gaussian correlation
(2017)Spectrum analysis can detect frequency related structures in a time series $\{Y_t\}_{t\in\mathbb{Z}}$, but may in general be an inadequate tool if asymmetries or other nonlinear phenomena are present. This limitation is a ...Journal article 
Nonlinear spectral analysis via the local Gaussian correlation
(2017)The spectral distribution $f(\omega)$ of a stationary time series $\{Y_t\}_{t\in\mathbb{Z}}$ can be used to investigate whether or not periodic structures are present in $\{Y_t\}_{t\in\mathbb{Z}}$, but $f(\omega)$ has some ...Journal article 
Nonlinear Spectrum Analysis based on the Local Gaussian Correlation and Model Selection for Copulas
(The University of Bergen, 20171120)Doctoral thesis 
The Norwegian Stock Market:  A Local Gaussian Perspective
(The University of Bergen, 20130603)In this thesis, using daily returns from 18 stocks, oil price, exchange rates and the main index of the Oslo Stock Exchange over a period of 5 years, we investigate how the Local Gaussian Correlation can be used to ...Master thesis 
A numerical approach to ruin probability in finite time for fitted models with investment
(The author, 2012)In this paper we present a numerical method for solving a partial integrodifferential equation (PIDE) associated with ruin probability, when the surplus is continuously invested in stochastic assets. The method ... 
Numerical bifurcation for the capillary Whitham equation
(Elsevier, 201703)The socalled Whitham equation arises in the modeling of free surface water waves, and combines a generic nonlinear quadratic term with the exact linear dispersion relation for gravity waves on the free surface of a fluid ...Journal article 
Numerical computation of a finite amplitude sound beam
(Department of Mathematics, University of Bergen, 1986)Working paper 
Numerical Methods for Conservation Laws with a Discontinuous Flux Function
(The University of Bergen, 20110601)When simulating twophase flow in a porous medium, numerical methods are used to solve the equations of flow, called conservation laws. In the industry, this is done by a reservoir simulator, and the most widely used method ...Master thesis 
Numerical methods for modeling geothermal energy extraction
(The University of Bergen, 20091120)Modeling of flow in porous media is an important scientific research area, and has been so for decades. It is also one of the major topics within applied mathematics. Models for flow in porous media are for example important ...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 
Numerical Modeling of Supercritical ‘OutSalting’ in the “Atlantis II Deep” (Red Sea) Hydrothermal System
(Bentham Open, 2007)Supercritical water behaves close to that of a nonpolar fluid and its ability to dissolve salt ions is very low. In rifting locations worldwide, where hot vents occur, it has been shown that seawater attains supercritical ...Peer reviewedJournal article 
Numerical Modelling of Microbial Enhanced Oil Recovery with Focus on Dynamic Effects: An Iterative Approach
(Universitetet i Bergen (UiB), 20150627)Recovering more of the available oil has been a main driver behind the extensive work done in the field of enhanced oil recovery (EOR) over the last decades. Microbial en hanced oil recovery (MEOR) has been heavily ...Master thesis 
Numerical modelling of organic waste dispersion from fjord located fish farms
(Springer, 20110421)In this study, a threedimensional particle tracking model coupled to a terrain following ocean model is used to investigate the dispersion and the deposition of fish farm particulate matter (uneaten food and fish ...Peer reviewedJournal article 
Numerical Simulation Studies of the Longterm Evolution of a CO2 Plume in a Saline Aquifer with a Sloping Caprock
(Springer, 20110202)We have used the TOUGH2MP/ECO2N code to perform numerical simulation studies of the longterm behavior of CO2 stored in an aquifer with a sloping caprock. This problem is of great practical interest, and is very challenging ...Peer reviewedJournal article 
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