Department of Mathematics
Recent Submissions
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Simplicial Constructions in Applied Topology
(Doctoral thesis, 2024-10-16)I topologisk dataanalyse (TDA) analyserer man data ved å først konstruere et rom som fanger opp interessante egenskaper i dataen, og så studerer man topologien til dette rommet. Det er praktisk å jobbe med rom som har en ... -
Modelling of mixed-mechanism stimulation for the enhancement of geothermal reservoirs
(Journal article; Peer reviewed, 2024)Hydraulic stimulation is a critical process for increasing the permeability of fractured geothermal reservoirs. This technique relies on coupled hydromechanical processes induced through pressurized fluid injection into ... -
Non-Gaussian Ensemble Optimization
(Journal article; Peer reviewed, 2024)Ensemble-based optimization (EnOpt), commonly used in reservoir management, can be seen as a special case of a natural evolution algorithm. Stein’s lemma gives a new interpretation of EnOpt. This interpretation enables us ... -
Numerical Simulations of Viscous Fingering in Fractured Porous Media
(Journal article; Peer reviewed, 2024)The effect of heterogeneity induced by highly permeable fracture networks on viscous miscible fingering in porous media is examined using high-resolution numerical simulations. We consider the planar injection of a less ... -
Dispersive Wave Focusing on a Shear Current: Part 2—Nonlinear Effects
(Journal article; Peer reviewed, 2024)Continuing our recent work [Ellingsen et al., Water Waves (2024)] we investigate the influence of vertically sheared currents on the surface elevation as well as the kinematics of dispersively focusing wave groups up to ... -
The 11th Society of Petroleum Engineers Comparative Solution Project: Problem Definition
(Journal article; Peer reviewed, 2024)This article contains the description of, and call for participation in, the 11th Society of Petroleum Engineers Comparative Solution Project (the 11th SPE CSP, https://spe.org/csp). It is motivated by the simulation ... -
Stanley-Reisner ideals associated with triangulations
(Master thesis, 2024-06-03) -
Omgrepsforståing og arbeid med problemløysingsoppgåver i matematikk
(Master thesis, 2024-06-03)I mi oppgåve har fokus vore elevar si omgrepsforståing i samanheng med problemløysing. Dette kjem av kjerneelementa i matematikk på vidaregåande som går inn på både representasjonsbruk i samband med matematiske omgrep og ... -
Norske elevers holdninger til arbeid med matematisk modellering
(Master thesis, 2024-06-03)Matematisk modellering har gjennom de siste tiårene fått en viktig rolle i matematikkdidaktisk litteratur og i læreplaner, både nasjonalt og internasjonalt, men det er et gap mellom dette fokuset og faktisk bruk av ... -
Algebra i norske lærebøker. En analyse av tre lærebøker for 8. trinn
(Master thesis, 2024-06-03)Denne masteroppgaven undersøker presentasjonen og struktureringen av algebra i tre utvalgte norske lærebøker i matematikk for 8.trinn. Motivasjonen for studien stammer fra de vedvarende utfordringene norske elever møter i ... -
Resonnering og argumentasjon i matematikkundervisninga i vidaregåande skule
(Master thesis, 2024-06-03)Resonnering og argumentasjon har dei seinare åra fått meir merksemd i matematikkundervisninga, noko som vart endå tydelegare ved innføringa av LK20 der resonnering og argumentasjon er eit av seks kjerneelement. Men kva ... -
Matematisk modellering i læreverk
(Master thesis, 2024-06-03) -
Didaktiske tilnærminger til den deriverte i læremidler for matematikk 1T
(Master thesis, 2024-06-03)I forbindelse med fagfornyelsen LK20, har dybdelæring blitt trukket fram som et sentralt element i norsk skole. I matematikk innebærer dette blant annet å ha en god begrepsmessig forståelse. Denne studien undersøker hvordan ... -
Area rearrangement operator in discrete and continuous calculus
(Master thesis, 2024-06-03)By interpreting sums as area we construct the area rearrangement operator which looks like Φ = −x d/dx in the continuous case and φ = −x∆ in the discrete case. We explore the properties of these operators, among them how ... -
The influence of an internship in South Africa on Norwegian preservice mathematics teachers' development of a professional identity
(Chapter, 2023)This paper reflects on how the future development of teacher identity by four Norwegian preservice secondary mathematics teachers may be influenced by a nine-week internship in South Africa. It was clear from interviews ... -
Unconditional uniqueness for the Benjamin-Ono equation
(Journal article, 2023)We study the unconditional uniqueness of solutions to the Benjamin–Ono equation with initial data in Hs, both on the real line and on the torus. We use the gauge transformation of Tao and two iterations of normal form ... -
Black-Litterman portfolio allocation using Local Gaussian Correlation
(Master thesis, 2024-04-27) -
Rolling Stiefel Manifolds Equipped with α-Metrics
(Journal article; Peer reviewed, 2023)We discuss the rolling, without slipping and without twisting, of Stiefel manifolds equipped with 𝛼-metrics, from an intrinsic and an extrinsic point of view. We, however, start with a more general perspective, namely, ... -
Shift modules, strongly stable ideals, and their dualities
(Journal article; Peer reviewed, 2023)We enrich the setting of strongly stable ideals (SSI): We introduce shift modules, a module category encompassing SSIs. The recently introduced duality on SSIs is given an effective conceptual and computational setting. ... -
A Bayesian Lasso based sparse learning model
(Journal article; Peer reviewed, 2023)The Bayesian Lasso is constructed in the linear regression framework and applies the Gibbs sampling to estimate the regression parameters. This paper develops a new sparse learning model, named the Bayesian Lasso Sparse ...
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