Department of Mathematics: Nye registreringer
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Så forstod vi at vi hadde tenkt nesten likt
(Master thesis, 2024-06-03)Denne masteroppgåva handlar om elevar på mellomtrinnet og kva for rolle matematiske teikn spelar i arbeid med oppgåver. Formålet er å få ei betre forståing for kva som er grunnen til at elevar får til nokre oppgåver, men ... -
Kikan-shido i matematikkundervisning på vg3
(Master thesis, 2024-06-03)Denne masteroppgaven tar for seg hva læreren sier i dialogen mellom lærer og elev i matematikkundervisning i tredje klasse på videregående skole. Forskningsspørsmålet i oppgaven er: «Hva sier læreren i møte med elevene når ... -
Tenkende klasserom - ny undervisningsmetode, nye utfordringer?
(Master thesis, 2024-06-03)I denne studien har jeg hatt søkelys på elevenes engasjement under arbeid i tenkende klasserom. Jeg har tatt utgangspunkt i elever fra egne klasser på 8.trinn og sett på utfordringer som oppstår når elevene skal samarbeide ... -
Exploring Two Decades of Mesoscale Eddy Variability in the Lofoten Basin by Applying Automated Eddy Detection and Singularity Analysis to Remote Sensing Data
(Master thesis, 2024-06-05)The Lofoten Basin in the Norwegian Sea is located along the advective path of the warm and saline Atlantic Water transported from the North Atlantic to the Arctic. Bordered by the two branches of the Norwegian Atlantic ... -
Numerisk modellering av elastisk deformasjon av sprekker
(Master thesis, 2024-06-03) -
An adaptive solution strategy for Richards' equation
(Journal article; Peer reviewed, 2023)Flow in variably saturated porous media is typically modeled by the Richards equation, a nonlinear elliptic-parabolic equation which is notoriously challenging to solve numerically. In this paper, we propose a robust and ... -
Who benefits from postponement in multi-period supply channel optimization?
(Journal article; Peer reviewed, 2024)Duopolistic price-setting supply channels competing in a bilevel framework have been extensively studied in single-period (static) settings. However, such supply channels typically face uncertain and time-varying demand; ... -
Statistical Embedding: Beyond Principal Components
(Journal article; Peer reviewed, 2023)There has been an intense recent activity in embedding of very high-dimensional and nonlinear data structures, much of it in the data science and machine learning literature. We survey this activity in four parts. In the ... -
Some recent trends in embeddings of time series and dynamic networks
(Journal article; Peer reviewed, 2023)We give a review of some recent developments in embeddings of time series and dynamic networks. We start out with traditional principal components and then look at extensions to dynamic factor models for time series. Unlike ... -
The highly nonlinear shallow water equation: local well-posedness, wave breaking data and non-existence of sech2 solutions
(Journal article; Peer reviewed, 2024)In the context of the initial data and an amplitude parameter ε, we establish a local existence result for a highly nonlinear shallow water equation on the real line. This result holds in the space Hk as long as k > 5/2. ... -
Limited Link of Common Blood Parameters with Tinnitus
(Journal article; Peer reviewed, 2023)Background: Tinnitus severity is generally assessed by psychometric and audiological instruments. However, no objective measure exists to evaluate the subjective discomfort and suffering caused by this hearing phenomenon. ... -
Quantifying prior model complexity for subsurface reservoir models
(Journal article; Peer reviewed, 2023)In Bayesian approaches to history matching for subsurface inference, the prior model specifies the uncertain model parameters and the joint probability of those parameters before incorporating production-related data. A ... -
Rigorous derivation of some asymptotic models for free water surfaces and interfaces
(Doctoral thesis, 2024-04-26)Opprinnelsen til moderne matematisk hydrodynamikk kan spores tilbake til 1700-tallet. I 1757 publiserte Euler artikkelen der han introduserte ligninger, i dag kjent som Euler likningene, som kan beskrive væskedynamikk [31]. ... -
The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number
(Journal article; Peer reviewed, 2023)“A basic and basically unsolved problem in fluid dynamics is to determine the evolution of rising bubbles and falling drops of one miscible liquid in another” [D. D. Joseph and Y. Y. Renardy, Fundamentals of Two-Fluid ... -
The weight spectrum of two families of Reed-Muller codes
(Journal article; Peer reviewed, 2023)We determine the weight spectra of the Reed-Muller codes RM (m− 3, m) for m ≥ 6 and RM (m − 4, m) for m ≥ 8. The technique used is induction on m, using that the sum of two weights in RM (r −1, m−1) is a weight in RM (r, ... -
PoroTwin: A Digital Twin for a FluidFlower Rig
(Journal article; Peer reviewed, 2023)We present a framework for integrated experiments and simulations of tracer transport in heterogeneous porous media using digital twin technology. The physical asset in our setup is a meter-scale FluidFlower rig. The digital ... -
Count time series with application to corporate defaults
(Master thesis, 2020-06-12) -
Simulation of Reactive Transport in Fractured Porous Media
(Journal article; Peer reviewed, 2023)Numerical simulations of reactive transport in fractured porous media require the solution of coupled physical and chemical processes that depend on the fractures. Such coupled processes are described by a system of nonlinear ... -
A TMB Approach to Study Spatial Variation in Weather-Generated Claims in Insurance
(Journal article; Peer reviewed, 2023)In this paper, we use TMB to study spatial variation in weather-generated claims in insurance. Our motivation is twofold. By comparing with INLA, we first find that TMB is a robust and efficient approach to deal with spatial ... -
Tinnitus Is Marginally Associated with Body Mass Index, Heart Rate and Arterial Blood Pressure: Results from a Large Clinical Sample
(Journal article; Peer reviewed, 2023)Introduction: This study aimed to explore whether body mass index (BMI), systolic blood pressure (RR syst), diastolic blood pressure (RR diast) or heart rate (HR) are associated with tinnitus status and/or severity. Methods: ...