Browsing Department of Mathematics by Title
Now showing items 370-389 of 1098
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H-type foliations
(Journal article; Peer reviewed, 2022)With a view toward sub-Riemannian geometry, we introduce and study H-type foliations. These structures are natural generalizations of K-contact geometries which encompass as special cases K-contact manifolds, twistor spaces, ... -
Heat Transfer Upscaling in Geothermal Reservoirs
(Master thesis, 2015-11-20)In this thesis we implement a numerical model of heat transfer in geothermal reservoirs. We use existing pressure and flow transport solvers as a starting point to investigate discretization techniques for a convection-conduction ... -
Hedging av rentederivat
(Master thesis, 2006-11) -
The heritability curve and its applications to human non-Mendelian traits
(Doctoral thesis, 2023-12-08)Arvbarhet er et viktig mål for å beskrive en ikke-mendelsk egenskap; den måler i hvilken andel verdien av egenskapen påvirkes av genetisk materiale. I klassiske biometriske modeller er arvbarheten konstant over hele ... -
Hidden Markov and Hidden Semi-Markov models on Financial Timeseries
(Master thesis, 2020-09-11) -
Hidden semi-Markov-switching quantile regression for time series
(Journal article; Peer reviewed, 2021)A hidden semi-Markov-switching quantile regression model is introduced as an extension of the hidden Markov-switching one. The proposed model allows for arbitrary sojourn-time distributions in the states of the Markov-switching ... -
Hierarchical Bayesian Survival Analysis of Age-Specific Data From Birds' Nests
(Master thesis, 2010-11-19)In this thesis, I first present the grassland birds data from Wells(2007) which is used by several different methods of estimating the nest survival rates. The hierarchical Bayesian method from Cao(2009) then is introduced ... -
High order volume preserving integrators for three kinds of divergence-free vector fields via commutators
(Working paper, 2013)In this paper, we focus on construction of high order volume preserving integrators for divergence-free vector fields of the monomial basis, exponential basis and tensor product of the monomial and exponential basis. We ... -
High-accuracy phase-field models for brittle fracture based on a new family of degradation functions
(Peer reviewed; Journal article, 2018-02)Phase-field approaches to fracture based on energy minimization principles have been rapidly gaining popularity in recent years, and are particularly well-suited for simulating crack initiation and growth in complex fracture ... -
Higher Hochschild homology is not a stable invariant
(Master thesis, 2016-05-27)The purpose of this thesis is to study the higher Hochschild homology of some rational algebras. We know that for some algebras the higher Hochschild homology is a stable invariant. Studying the homology over the spheres ... -
Higher order space-time elements for a non-linear Biot model
(Journal article; Peer reviewed, 2019)In this work, we consider a non-linear extension of the linear, quasi-static Biot’s model. Precisely, we assume that the volumetric strain and the fluid compressibility are non-linear functions. We propose a fully discrete ... -
Higher-order Boussinesq systems: Modeling, numerics and applications
(Master thesis, 2019-06-22) -
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. ... -
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)