Blar i Department of Mathematics på tittel
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HomologyBasis: Fast Computation of Persistent Homology
(Master thesis, 2021-06-01)Simplicial complexes are used in topological data analysis (TDA) to extract topological features of the data. The HomologyBasis algorithm is proposed as an efficient method for the computation of the topological features ... -
Horisontkunnskap i aksjon. Om lærernes syn på relevansen av avansert matematisk kunnskap i undervisningsarbeidet
(Master thesis, 2018-06-20)In this master’s thesis I have examined in which ways Norwegian secondary teachers in mathematics think they need advanced mathematical knowledge in their teaching practice, and I have discussed this against the concept ... -
A horizontal Chern–Gauss–Bonnet formula on totally geodesic foliations
(Journal article; Peer reviewed, 2022)Under suitable conditions, we show that the Euler characteristic of a foliated Riemannian manifold can be computed only from curvature invariants which are transverse to the leaves. Our proof uses the hypoelliptic sub-Laplacian ... -
Horizontal holonomy and foliated manifolds
(Journal article; Peer reviewed, 2019)We introduce horizontal holonomy groups, which are groups defined using parallel transport only along curves tangent to a given subbundle D of the tangent bundle. We provide explicit means of computing these holonomy groups ... -
How currents trigger extreme sea waves. The roles of Stokes drift, Eulerian return flow, and a background flow in the open ocean
(Journal article; Peer reviewed, 2024)A deterministic system of ocean surface waves and flow in the oceanic boundary layer is key to understanding the dynamics of the upper ocean. For the description of such complex systems, a higher-order shear-current modified ... -
Human intracranial pulsatility during the cardiac cycle: a computational modelling framework
(Journal article; Peer reviewed, 2022)Background Today’s availability of medical imaging and computational resources set the scene for high-fidelity computational modelling of brain biomechanics. The brain and its environment feature a dynamic and complex ... -
A Hybrid Domain Decomposition Method for Advection-Diffusion Problems
(Department of Applied Mathematics report, Research report, 1996-09) -
Hybrid Modeling of the N-Body Problem with Applications to Astrophysics
(Master thesis, 2022-06-01)Over the last years, the field of hybrid modeling, the concept of combining data-driven machine learning models and numerical solution methods to simulate a physical system, has seen an immense increase in research. This ... -
Hybrids between common and Antarctic minke whales are fertile and can back-cross
(Peer reviewed; Journal article, 2013-04-15)Background: Minke whales are separated into two genetically distinct species: the Antarctic minke whale found in the southern hemisphere, and the common minke whale which is cosmopolitan. The common minke whale is further ... -
Hydro-mechanical simulation and analysis of induced seismicity for a hydraulic stimulation test at the Reykjanes geothermal field, Iceland
(Journal article; Peer reviewed, 2021)The combination of seismic analysis with advanced physics-based simulation provides an opportunity to further understand injection-induced fault reactivation, including the hydro-mechanical interplay between different ... -
HyperHMM: efficient inference of evolutionary and progressive dynamics on hypercubic transition graphs
(Journal article; Peer reviewed, 2023)Motivation: The evolution of bacterial drug resistance and other features in biology, the progression of cancer and other diseases and a wide range of broader questions can often be viewed as the sequential stochastic ... -
HyperTraPS: Inferring probabilistic patterns of trait acquisition in evolutionary and disease progression pathways
(Peer reviewed; Journal article, 2020)The explosion of data throughout the biomedical sciences provides unprecedented opportunities to learn about the dynamics of evolution and disease progression, but harnessing these large and diverse datasets remains ... -
«Hæh? Er det der en modell liksom?» Ei studie av R2 elevar si oppfatning av læringsutbyttet ved eit didaktisk kontraktbrot.
(Master thesis, 2017-07-26)Matematikkundervisning i Noreg følgjer stort sett same didaktiske kontrakt. Korleis opplever elevar med full fordjuping i faget eit brot på denne kontrakten? Studia baserer seg på to teoretiske fundament: Det teoretiske ... -
Høyfrekvens finans og markedets mikrostruktur på Oslo Børs
(Master thesis, 2009-09-09)Høyfrekvens finans, som er tema for denne oppgaven, tar for seg studiet av høyfrekvente finansielle data. I denne oppgaven har vi sett på data med den høyest mulige frekvensen, nemlig data fra hver eneste handel. De ... -
Identification of a nonlinear parameter in a parabolic equation by a linear approach
(Department of Applied Mathematics report, Research report, 1993-03) -
Identification of subsurface structures using electromagnetic data and shape priors
(Journal article, 2015-03)We consider the inverse problem of identifying large-scale subsurface structures using the controlled source electromagnetic method. To identify structures in the subsurface where the contrast in electric conductivity can ... -
Identifying Stagnation Zones and Reverse Flow Caused by River-Aquifer Interaction: An Approach Based on Polynomial Chaos Expansions
(Journal article; Peer reviewed, 2021)Fluctuating stream stages and peak-flow events can significantly influence the interactions between streams and aquifers and modify the hydraulic gradient, the flux exchange and the subsurface flow paths. As a result, ... -
Ill Posedness Results for Generalized Water Wave Models
(Master thesis, 2013-06-03)In the first part of the study, the weak asymptotic method is used to find singular solutions of the shallow water system in both one and two space dimensions. The singular solutions so constructed are allowed to contain ... -
Ill-posedness of the Maxwell–Dirac system below charge in space dimension three and lower
(Journal article; Peer reviewed, 2021)The Maxwell–Dirac system describes the interaction of an electron with its self-induced electromagnetic field. In space dimension d=3 the system is charge-critical, that is, L2-critical for the spinor with respect to ... -
Image Denoising Algorithms Based on the Dual Formulation of Total Variation
(Master thesis, 2009-07-17)