Browsing Department of Mathematics by Title
Now showing items 278297 of 436

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 
Omvendt undervisning i matematikk. En kvalitativ studie av hvordan elevene benytter seg av video komponenten av omvendt undervisning. Hva sier en slik bruk av video om fordeler og ulemper med omvendt undervisning.
(The University of Bergen, 20170726)Da jeg bestemte meg for å skrive masteroppgave i matematikkdidaktikk tenkte jeg da at omvendt undervisning ville være et spennende tema. Problemstillingen min ble som følger: Hvordan benytter elevene seg av video i ...Master thesis 
Omvendt undervisning i matematikk. En kvalitativ studie av hvordan matematikkfaget endrer seg ved bruk av omvendt undervisning, og hva lærere og elever må passe på for å sikre kvaliteten på opplæringen i faget gjennom disse endringene.
(The University of Bergen, 20161121)Problemstillingen for studien er: Hvordan endrer matematikkfaget seg ved bruk av omvendt undervisning, og hvilke faktorer må en som lærer, og elev, passe på for å sikre kvalitet på opplæringen gjennom disse endringene? ...Master thesis 
On extremal function in one class of mapping with finite distortion
(The University of Bergen, 20170726)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 influence of wave reflection on shoaling and breaking solitary Waves
(Estonian Academy Publishers, 2016)A coupled BBM system of equations is studied in the situation of water waves propagating over a decreasing fluid depth. A conservation equation for mass and also a wave breaking criterion, both valid in the Boussinesq ...Journal article 
On the optimization of iterative schemes for solving nonlinear and/or coupled PDEs
(The University of Bergen, 20181211)In this thesis we study the optimization of iterative schemes as both linearization methods, and as splitting methods for solving nonlinear and coupled partial differential equations (PDEs). We consider two equations that ...Master thesis 
On the Relation between Surface Profiles and Internal Flow Properties in LongWave Models
(The University of Bergen, 20170310)In this work, we investigate the internal velocity field in a number of Boussinesq models in nonuniform situations. A coupled BBMBBM type system of equations is derived in the assumption of water wave propagating over ...Doctoral thesis 
On the relationship between multiple porosity models and continuous time random walk
(CIMNE, 2010)We derive a multiple porosity model based on the continuous time random walk model (CTRW). In particular, we show how the parameters of the multiple porosity models relate to the transition probability function which is ...Conference object 
On the shoaling of solitary waves in the KdV equation
(American Society of Civil Engineers, 2014)The waveheight change in surface waves with a sufficiently slow variation in depth is examined. Using a new formulation of the energy flux associated to waves modeled by the Kortewegde Vries equation, a system of three ...Conference object 
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