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Bergen Open Research Archive

Browsing Department of Mathematics by Title

Bergen Open Research Archive

Browsing Department of Mathematics by Title

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  • Leknes, Jon Harald (Master thesis, The University of Bergen, 2008)
    Vi skal i denne oppgaven beskrive teorien bak kvantilregresjon. I klassisk regresjonsanalyse bruker man minste kvadraters metode, hvor man beregner betingede gjennomsnittsestimater av forventningen til responsvariabelen. ...
  • Ali, Alfatih Mohammed A. (Doctoral thesis, The University of Bergen, 2012-03-23)
  • Rosman, Guy; Dascal, Lorina; Tai, Xue-Cheng; Kimmel, Ron (Peer reviewed; Journal article, Springer, 2011)
    The Beltrami flow is an efficient nonlinear filter, that was shown to be effective for color image processing. The corresponding anisotropic diffusion operator strongly couples the spectral components. Usually, this flow ...
  • Rosman, Guy; Dascal, Lorina; Tai, Xue-Cheng; Kimmel, Ron (Peer reviewed; Journal article, Springer, 2011-01-15)
    The Beltrami flow is an efficient nonlinear filter, that was shown to be effective for color image processing. The corresponding anisotropic diffusion operator strongly couples the spectral components. Usually, this ...
  • Nordhaug, Hans Fredrik (Master thesis, The University of Bergen, 1998-07-10)
  • 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 ...
  • 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 ...
  • El-Faour, Basil Fayez (Master thesis, The University of Bergen, 2010-06-01)
    Geologic and flow characteristics such as permeability and porosity, capillary pressure, geologic structure, and thickness all influence and affect CO2 plume distribution to varying degrees. These parameters do not necessarily ...
  • 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 ...
  • Lie, Knut-Andreas; Krogstad, Stein; Ligaarden, Ingeborg Skjelkvåle; Natvig, Jostein Roald; Nilsen, Halvor Møll; Skaflestad, Bård (Peer reviewed; Journal article, Springer, 2011-08-02)
    Accurate geological modelling of features such as faults, fractures or erosion requires grids that are flexible with respect to geometry. Such grids generally contain polyhedral cells and complex grid-cell connectivities. The ...
  • Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald; Nordhaug, Hans Fredrik; Dahle, Helge K. (Journal article; Peer reviewed, Elsevier, 2001)
    Many numerical methods for systems of convection-diffusion equations are based upon an operator splitting formulation, where convective and diffusive forces are accounted for in separate substeps. We describe the nonlinear ...
  • Bai, Lihua; Hunting, Martin; Paulsen, Jostein (Peer reviewed; Journal article, Springer-Verlag, 2012)
    In this paper, we consider a company where surplus follows a rather general di usion process and whose objective is to maximize expected discounted dividend payments. With each dividend payment there are transaction costs ...
  • Hunting, Martin; Paulsen, Jostein (Peer reviewed; Journal article, Springer-Verlag, 2012)
    This paper addresses the problem of finding an optimal dividend policy for a class of jump-diffusion processes. The jump component is a compound Poisson process with negative jumps, and the drift and diffusion components ...
  • Doublet, Daniel Christopher (Doctoral thesis, The University of Bergen, 2008-02-18)
    This work studies the use of augmented Lagrangian methods for water flooding production optimisation from an oil reservoir. Commonly, water flooding is used as a means to enhance oil recovery, and due to heterogeneous ...
  • Zhu, Sha (Master thesis, The University of Bergen, 2013-12-01)
    Carbon dioxide capture and storage (CCS) is a promising strategy to battle the climate change by injecting large-scale of carbon dioxide back to underground formations and storing the carbon dioxide possibly permanently. ...
  • De la Riva Caballero, Arguitxu (Doctoral thesis, The University of Bergen, 2011-12-09)
    The main scope of this thesis is to illustrate the validity of oribatid mites as tools for palaeoecological reconstructions. Palaeoecology studies the responses of past organisms to past environmental changes. This ...
  • Vasdal, Thomas Arneberg (Master thesis, The University of Bergen, 2011-06-01)
    Denne oppgaven prøver å belyse konstruksjoner med passer og linjal og origami ved hjelp av Galois- teori. De tre klassiske problemene: Kubens fordobling, sirkelens kvadratur og vinkelens tredeling er sentrale. Oppgaven er ...
  • Nordhaug, Hans Fredrik; Celia, Michael A.; Dahle, Helge K. (Journal article; Peer reviewed, Elsevier Science, 2003)
    Two-phase flow in porous media is characterized by fluid-fluid interfaces that separate the fluid phases at the pore scale. These interfaces support pressure differences between phases, and their dynamics allow for ...
  • 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 ...
  • Brun, Knut-Erland (Master thesis, The University of Bergen, 2010-10-05)
    Dette prosjektet tar for seg to ulike modeller for et konstruert geotermisk system; et lukket enkeltbrønn-system og et åpent, sprekkdominert system. Enkeltbrønn-systemet er modellert eksplisitt, og modellen er også tilpasset ...

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