BORA - UiB

Bergen Open Research Archive

Browsing Department of Mathematics by Issue Date

Bergen Open Research Archive

Browsing Department of Mathematics by Issue Date

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  • Svärd, Magnus (Journal article, SIAM Journal on Numerical Analysis, 2015-02-26)
    In this paper, the three-dimensional compressible Navier-Stokes equations are considered on a periodic domain. We propose a semi-discrete numerical scheme and derive a priori bounds that ensures that the resulting system ...
  • Fossum, Kristian (Doctoral thesis, The University of Bergen, 2015-02-13)
    The ensemble Kalman filter (EnKF) has, since its introduction in 1994, gained much attention as a tool for sequential data assimilation in many scientific areas. In recent years, the EnKF has been utilized for estimating ...
  • Svärd, Magnus (Research report, 2015-01-20)
    Lately, there has been some interest in modifications of the compressible Navier-Stokes equations to include diffusion of mass. In this paper, we investigate possible ways to add mass diffusion to the 1-D Navier-Stokes ...
  • Skjøtskift, Torgeir (Master thesis, The University of Bergen, 2015-01-05)
    We explore the theory of cohomology of groups and the classification of group extensions with abelian kernel. We then look at the group extensions that underlie the truncated Witt vectors on the truncation set {1,p} where ...
  • Teveldal, Silje Kjønaas (Master thesis, The University of Bergen, 2014-12-25)
    In this thesis mathematical models with and without dynamic capillary effects are developed to model water flow and solute transport through a porous medium. The system of equations are discretised using the finite volume ...
  • Aye, Kaythi (Master thesis, The University of Bergen, 2014-12-02)
  • Kazymyrov, Oleksandr (Doctoral thesis, The University of Bergen, 2014-12-01)
    The development of modern cryptography is associated with the emergence of computing machines. Since specialized equipment for protection of sensitive information was initially implemented only in hardware, stream ciphers ...
  • Babatunde, Stanley Owulabi (Master thesis, The University of Bergen, 2014-11-01)
    As an abstract to this thesis, we review some literatures in EOR and discussed the processes, strength and weakness of Microbial Enhanced Oil Recovery techniques. A two phase flow model comprising water and oil via the ...
  • Ivanov, Georgy (Doctoral thesis, The University of Bergen, 2014-10-10)
  • Ali, Alfatih Mohammed A.; Kalisch, Henrik (Journal article, Springer, 2014-10)
    The Korteweg-de Vries (KdV) equation is widely recognized as a simple model for unidirectional weakly nonlinear dispersive waves on the surface of a shallow body of fluid. While solutions of the KdV equation describe the ...
  • Erichsen, Birgitte Riisøen (Master thesis, The University of Bergen, 2014-09-23)
    This master's thesis is about controlled drug release, which is a relatively new area of mathematical modelling. In this thesis there have been two major focuses. The first is to further understand the model for drug release ...
  • Gjerdevik, Miriam; Heuch, Ivar (Journal article, BioMed Central, 2014-09-22)
    Background: The rank correlation test introduced by Begg and Mazumdar is extensively used in meta-analysis to test for publication bias in clinical and epidemiological studies. It is based on correlating the standardized ...
  • Nordbotten, Jan Martin (Journal article, Wiley, 2014-08-11)
    The development of cell-centered finite volume discretizations for deformation is motivated by the desire for a compatible approach with the discretization of fluid flow in deformable porous media. We express the conservation ...
  • Johansson, Kari (Master thesis, The University of Bergen, 2014-06-06)
    Problemstillinga i oppgåva var korleis opplever elevane bruk av rekneark i matematikk på ungdomstrinnet. Gjennom eitt år vart ulike reknearkoppgåver prøvd ut i 9./10. klasse. I etterkant henta eg inn data ved hjelp av ...
  • Stanislaus, Mary Gerina (Master thesis, The University of Bergen, 2014-06-02)
    In this work, we apply techniques in variational optimization to image segmentation. We study three different segmentation models: one is based on the active contour method, the second is based on a piecewise constant level ...
  • Olderkjær, Daniel Stensrud (Master thesis, The University of Bergen, 2014-06-02)
    In this thesis we prove the multi-point flux approximation O-method (MPFA) to yield exact potential and flux for the trigonometric potential functions u(x,y)=sin(x)sin(y) and u(x,y)=cos(x)cos(y). This is done on uniform ...
  • Xi, Linda Mon (Master thesis, The University of Bergen, 2014-06-02)
    This thesis investigates the Conditional Value-at-Risk (CVaR) portfolio optimization approach combined with a univariate GARCH model and pair-copula constructions (PCC) to determine the optimal asset allocation for a ...
  • Husebø, Anders Knarvik (Master thesis, The University of Bergen, 2014-06-02)
    In this master thesis we want to study the newly discovered homotopy type theory, and its models within mathematics. We look at models in simplicial sets, simplicial symmetric monoids, and a new category which could be ...
  • Juliussen, Bjørn-Sverre Hjelle (Master thesis, The University of Bergen, 2014-06-02)
    The Kaup-Boussinesq system is a coupled system of nonlinear partial differential equations which has been derived as a model for surface waves in the context of the Boussinesq scaling, and it has also been derived for an ...
  • Kvile, Mari Aurlien (Master thesis, The University of Bergen, 2014-06-02)
    In this thesis we propose a stable method for image segmentation with shape priors. The original Chan-Vese intensity based segmentation model with regularisation term is extended to include shape prior information. We study ...

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