Browsing Department of Mathematics by Title
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Automorphism groups of pseudo Htype algebras
(Journal article; Peer reviewed, 2021)In the present paper we determine the group of automorphisms of pseudo Htype Lie algebras, that are two step nilpotent Lie algebras closely related to the Clifford algebras Cl(Rr,s). 
Automorphism groups of pseudo Htype Lie algebras
(Master thesis, 20170726) 
Auxiliary variables for 3D multiscale simulations in heterogeneous porous media
(Journal article, 20130401)The multiscale controlvolume methods for solving problems involving flow in porous media have gained much interest during the last decade. Recasting these methods in an algebraic framework allows one to consider them as ... 
Bayesian and frequentist computation with application to data from the Medical Birth Registry of Norway
(Doctoral thesis, 20190425)In chapter 1, the field of statistics is discussed in general terms. Then, Bayes’ theorem is presented together with the posterior distribution. Finally, we consider maximum likelihood estimation and its relation to ... 
Bayesian Variational Methods in Carbon Storage Monitoring
(Doctoral thesis, 20210119)This thesis explores the use of deep learning and variational inference in Carbon Capture and Storage (CCS) monitoring. It consists of an introductory part and three scientific papers. The first chapter introduces CCS and ... 
Begrepsforståelse i matematikkfaget
(Master thesis, 20140530)Intensjonen med denne oppgaven er å kunne gi en vurdering av hvilke matematiske basiskunnskaper elevene som begynner på videregående har og gi noen forslag til hva som kan gjøres for å forbedre undervisningen 
Beskrivelse av skoleforsøket: Lagring av CO2 under havbunnen
(Working paper, 20100304) 
Bevis i undervising av realfagsmatematikk i vidaregåande skule
(Master thesis, 20190622)Bevis har spelt ei sentral rolle i utvikling av matematikken, og kan seiast å danne grunnlaget for kvifor matematikken er som den er. Bevisa viser kvifor formlar og teorem stemmer, men dei har fleire roller utover dette; ... 
Binary time series classification with Bayesian convolutional neural networks when monitoring for marine gas discharges
(Journal article; Peer reviewed, 20200619)The world’s oceans are under stress from climate change, acidification and other human activities, and the UN has declared 2021–2030 as the decade for marine science. To monitor the marine waters, with the purpose of ... 
Blanda modellar i R
(Master thesis, 20061121) 
Block preconditioners for mixeddimensional discretization of flow in fractured porous media
(Journal article; Peer reviewed, 2021)In this paper, we are interested in an efficient numerical method for the mixeddimensional approach to modeling singlephase flow in fractured porous media. The model introduces fractures and their intersections as ... 
Boundaryvalue problems and shoaling analysis for the BBM equation
(Master thesis, 20120220)In this thesis we study the BBM equation u_t+u_x+ \frac{3}{2}uu_x  \frac{1}{6} u_{xxt}= 0 which describes approximately the twodimensional propagation of surface waves in a uniform horizontal channel containing an ... 
Brain solute transport is more rapid in periarterial than perivenous spaces
(Journal article; Peer reviewed, 2021)Fluid flow in perivascular spaces is recognized as a key component underlying brain transport and clearance. An important open question is how and to what extent differences in vessel type or geometry affect perivascular ... 
Brauer groups of bielliptic surfaces and classification of irregular surfaces in positive characteristic
(Doctoral thesis, 20210527)In this work we tackle three problems about surfaces. In Part I (Chapter 2) we study the Brauer groups of bielliptic surfaces in characteristic zero. More precisely, given a bielliptic surface X, we give explicit ... 
Brauer Groups of Bielliptic Surfaces and Twisted Derived Equivalences
(Doctoral thesis, 20210830)This thesis focuses on two interrelated projects. The first project concerns the study of bielliptic surfaces, their Brauer groups and the pullback maps from their Brauer groups to those of their canonical covers. We prove ... 
Bridging the ensemble Kalman filter and particle filters: the adaptive Gaussian mixture filter
(Peer reviewed; Journal article, 2010)The nonlinear filtering problem occurs in many scientific areas. Sequential Monte Carlo solutions with the correct asymptotic behavior such as particle filters exist, but they are computationally too expensive when working ... 
Brill–Noether general K3 surfaces with the maximal number of elliptic pencils of minimal degree
(Journal article; Peer reviewed, 2020)We explicitly construct Brill–Noether general K3 surfaces of genus 4, 6 and 8 having the maximal number of elliptic pencils of degrees 3, 4 and 5, respectively, and study their moduli spaces and moduli maps to the moduli ... 
Brill–Noether theory of squarefree modules supported on a graph
(Peer reviewed; Journal article, 201305)We investigate the analogy between squarefree Cohen Macaulay modules supported on a graph and line bundles on a curve. We prove a Riemann–Roch theorem, we study the Jacobian and gonality of a graph, and we prove Clifford’s ... 
Bruk av matematikkens historie i matematikkundervisningen  En kilde til motivasjon?
(Master thesis, 20161121)Denne masteroppgaven tar for seg bruk av matematikkens historie i matematikkundervisning. Jeg har selv en bakgrunn som matematikklærer i videregående skole gjennom drøyt 15 år, og for meg personlig har matematikkens historie ...