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  • A study on iterative methods for Richards' equation 

    List, Florian; Radu, Adrian Florin (Springer, 2016-04)
    This work concerns linearization methods for efficiently solving the Richards equation, a degenerate elliptic-parabolic equation which models flow in saturated/unsaturated porous media. The discretization of Richards’ ...
    Journal article
  • Tokamerarekonstruksjon og Gröbnerbasar 

    Slinde, Kristine Njøs (The University of Bergen, 2016-06-01)
    I denne oppgåva skal me sjå på korleis ein skal gå fram for å rekonstruere ei scene frå to bilete. Dette kan brukast når ein skal evaluere satellittbilete og gjere ei kalibrering av kamera. Me skal sjå på geometrien og ...
    Master thesis
  • Misoppfatningar i algebra hjå elevar på første trinn i vidaregåande skule 

    Audestad, Torbjørn (The University of Bergen, 2016-06-02)
    Denne oppgåva handlar om misoppfatningar i algebra hjå 1.års-elevar i vidaregåande skule. Målet med oppgåva har vore å gje meg som matematikklærar større innsikt i misoppfatningar og vanskar elevar møter i algebra. ...
    Master thesis
  • Stochastic unit-root processes 

    Dyrhovden, Sigve Brix (The University of Bergen, 2016-06-01)
    In practice there are many types of processes that have near unit roots and are very difficult to distinguish from standard unit-root processes, given a finite sample. In our thesis we study a particular class of such ...
    Master thesis
  • Supervised Continuous Max-flow for Segmentation of Images with Intensity Inhomogeneities 

    Guo, Junjie (The University of Bergen, 2016-05-26)
    In this thesis we propose a regional adaptive active contour model for segmenting images with intensity inhomogeneities effectively. This model includes a regularization term, a global energy term and a local energy ...
    Master thesis
  • Higher Hocschild homology is not a stable invariant 

    Tenti, Andrea (The University of Bergen, 2016-05-27)
    The purpose of this thesis is to study the higher Hochschild homology of some rational algebras. We know that for some algebras the higher Hochschild homology is a stable invariant. Studying the homology over the spheres ...
    Master thesis
  • Vurdering for læring i matematikk - vurderingspraksis i 1YT i to klassar på elektrofag 

    Årdal, Jill Berit (The University of Bergen, 2016-05-31)
    Denne oppgåva handlar om formativ vurdering i matematikk. I problemstillinga spør ein etter i kva grad kapittel- og lekseprøver i 1YT har ein formativ funksjon for elevar på elektrofag. Ein skil mellom formål og funksjon ...
    Master thesis
  • Alternative læringsmåter for derivasjon i R1 - en komparativ analyse 

    Aksdal, Tom (The University of Bergen, 2016-06-01)
    I denne masteroppgaven har jeg studert elever som har arbeidet med derivasjon i matematikk R1. Formålet har vært å sammenligne to alternative læringsmåter med tradisjonell oppgaveregning, med tanke på læringsutbytte på ...
    Master thesis
  • Elevers holdninger til matematikk i videregående skole 

    Ludvigsen, Gerd Anne (The University of Bergen, 2016-06-01)
    Målet med oppgaven har vært å få en dypere innsikt og mer kunnskap om elevers holdninger til matematikken på et høyere nivå i videregående skole. Ut fra et sosialkonstruktivistisk perspektiv har fokus vært rettet mot ...
    Master thesis
  • Analysis of non-linear shallow water equations discretized on Arakawa C-grids 

    Eidsvåg, Espen Knudsen (The University of Bergen, 2016-06-01)
    To model the behaviour of flow and waves in three dimensions, one may use the Navier-Stokes equations. These equations leads to the shallow water equations, when the depth is much smaller than the wavelength. The shallow ...
    Master thesis
  • Is there a U-shaped relationship between physical activity in leisure time and risk of chronic low back pain? A follow-up in the HUNT Study 

    Heuch, Ingrid; Heuch, Ivar; Hagen, Knut; Zwart, John-Anker (BioMed Central, 2016-04-11)
    Background: Physical activity in leisure time is often considered to have favourable effects on the risk of low back pain (LBP), but demonstrating a definite association in epidemiological studies has proven difficult. The ...
    Journal article
  • Mathematical Modeling and Simulation for Microbial Enhanced Oil Recovery Optimization 

    Kassa, Abay Molla (The University of Bergen, 2016-06)
    In this study, we developed a mathematical model for 2D microbial EOR technology. It consists of an average pressure formulation of two-phase flow and component advection-diffusion reactive transport models. An IFT reduction ...
    Master thesis
  • Post-lie algebras and isospectral flows 

    Ebrahimi-Fard, Kurusch; Lundervold, Alexander; Mencattini, Igor; Munthe-Kaas, Hans (National Academy of Science of Ukraine, 2015-11-20)
    In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution ...
    Journal article
  • Solute transport in aquifers with evolving scale heterogeneity 

    Suciu, Nicolae; Attinger, Sabine; Radu, Adrian Florin; Vamo̧s, Cǎlin; Vanderborght, Jan; Vereecken, Harry; Knabner, Peter (Tipografia Universitatii Ovidius, 2015)
    Transport processes in groundwater systems with spatially heterogeneous properties often exhibit anomalous behavior. Using first-order approximations in velocity fluctuations we show that anomalous superdiffusive behavior ...
    Journal article
  • Consistency issues in pdf methods 

    Suciu, Nicolae; Schüler, Lennart; Radu, Adrian Florin; Attinger, Sabine; Vamo̧s, Cǎlin; Knabner, Peter (Tipografia Universitatii Ovidius, 2015)
    Concentrations of chemical species transported in random environments need to be statistically characterized by probability density functions (PDF). Solutions to evolution equations for the one-point one-time PDF are usually ...
    Journal article
  • Modeling and Simulation of Microbial Enhanced Oil Recovery: A New Approach which Includes the Role of Interfacial Area 

    Landa Marban, David (The University of Bergen, 2016-05-31)
    In today's world, oil remains the main source of energy. After discovering a petroleum reservoir, one can extract about 30% of the oil by using and maintaining the initial pressure in the reservoir through water ooding ...
    Master thesis
  • Meningsfuld begynderundervisning i matematisk analyse 

    Andresen, Mette Susanne (Universitetsforlaget, 2015)
    This article presents a study of a minor reversion of a first year course in calculus at Mathematics Department, University of Bergen, Norway. The lecturer’s goal was to force the students to take responsibility for their ...
    Journal article
  • General Slit Stochastic Löwner Evolution and Conformal Field Theory 

    Tochin, Alexey (The University of Bergen, 2016-01-22)
    Doctoral thesis
  • Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity 

    Nordbotten, Jan Martin (SIAM, 2015-11-19)
    We show convergence of a cell-centered finite volume discretization for linear elasticity. The discretization, termed the MPSA method, was recently proposed in the context of geological applications, where cell-centered ...
    Journal article
  • Two-phase flow in porous media: dynamic capillarity and heterogeneous media 

    van Duijn, Cornelius J.; Cao, Xiulei; Pop, Iuliu Sorin (Springer, 2015-08-11)
    We investigate a two-phase porous media flow model, in which dynamic effects are taken into account in phase pressure difference. We consider a one-dimensional heterogeneous case, with two adjacent homogeneous blocks ...
    Journal article

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