Browsing Department of Mathematics by Title
Now showing items 201220 of 320

Om kvantilregresjon
(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. ...Master thesis 
On flow properties of surface waves described by model equations of Boussinesq type
(The University of Bergen, 20120323)Doctoral thesis 
On Semiimplicit Splitting Schemes for the Beltrami Color Image Filtering
(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 ...Peer reviewedJournal article 
On Semiimplicit Splitting Schemes for the Beltrami Color Image Filtering
(Springer, 20110115)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 ...Peer reviewedJournal article 
On Solving a Three Phase Flow Model with Capillary Forces
(The University of Bergen, 19980710)Master thesis 
On the extension giving the truncated Witt vectors
(The University of Bergen, 20150105)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 ...Master thesis 
On the Formulation of Mass, Momentum and Energy Conservation in the KdV Equation
(Springer, 201410)The Kortewegde 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 ...Journal article 
On the use of vertically averaged models to simulate CO2 migration in a layered saline aquifer
(The University of Bergen, 20100601)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 ...Master thesis 
On weak solutions and a covergent numerical scheme for the compressible NavierStrokes Equations
(SIAM Journal on Numerical Analysis, 20150226)In this paper, the threedimensional compressible NavierStokes equations are considered on a periodic domain. We propose a semidiscrete numerical scheme and derive a priori bounds that ensures that the resulting system ...Journal article 
Opensource MATLAB implementation of consistent discretisations on complex grids
(Springer, 20110802)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 gridcell connectivities. The ...Peer reviewedJournal article 
An OpenSource Toolchain for Simulation and Optimization of AquiferWide CO2 Storage
(Elsevier Ltd., 20160204)Planning and execution of largescale, aquiferwide CO2 storage operations will require extensive use of computer modelling and simulations. The required computational tools will vary depending on the physical characteristics ...Journal article 
Operator splitting methods for systems of convectiondiffusion equations: nonlinear error mechanisms and correction strategies
(Elsevier, 2001)Many numerical methods for systems of convectiondiffusion equations are based upon an operator splitting formulation, where convective and diffusive forces are accounted for in separate substeps. We describe the nonlinear ...Journal articlePeer reviewed 
Oppfatningar og misoppfatningar i sannsyn: Ein mixed methodsstudie av elevar på vidaregåande trinn – yrkesfagleg retning
(The University of Bergen, 201601)Denne masteroppgåva handlar om korleis elevar på vidaregåande trinn – yrkesfagleg retning forstår omgrep innafor sannsyn. Føremålet har vore å avdekkja kva oppfatningar og misoppfatningar elevane har og kva løysingsstrategiar ...Master thesis 
Optimal dividend policies for a class of growthrestricted di usion processes under transaction costs and solvency constraints
(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 ...Peer reviewedJournal article 
Optimal dividend policies with transaction costs for a class of jumpdiffusion processes
(Springer Verlag, 2012)This paper addresses the problem of finding an optimal dividend policy for a class of jumpdiffusion processes. The jump component is a compound Poisson process with negative jumps, and the drift and diffusion components ...Peer reviewedJournal article 
Optimisation of Production From an OilReservoir Using Augmented Lagrangian Methods
(The University of Bergen, 20080218)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 ...Doctoral thesis 
Optimization of CO2 Geological Storage Cost
(The University of Bergen, 20131201)Carbon dioxide capture and storage (CCS) is a promising strategy to battle the climate change by injecting largescale of carbon dioxide back to underground formations and storing the carbon dioxide possibly permanently. ...Master thesis 
Oribatid mites in a changing world
(The University of Bergen, 20111209)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 ...Doctoral thesis 
Passer og linjal, origami og Galoisteori
(The University of Bergen, 20110601)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 ...Master thesis 
A pore network model for calculation of interfacial velocities
(Elsevier Science, 2003)Twophase flow in porous media is characterized by fluidfluid interfaces that separate the fluid phases at the pore scale. These interfaces support pressure differences between phases, and their dynamics allow for ...Journal articlePeer reviewed