### Recent Submissions

• #### Combinatorial description of jumps in spectral networks. ﻿

(The American Mathematical Society, 2017)
We describe a graph parametrization of rational quadratic diﬀeren- tials with presence of a simple pole, whose critical trajectories form a network depending on parameters focusing on the network topological jumps. ...
Journal article
• #### Analytical, combinatorial and topological properties of quadratic differentials and their applications ﻿

(The University of Bergen, 2017-12-13)
Quadratic differentials ﬁrst appeared in 1930s in works of Teichmuller in connection with moduli problem for Riemann surfaces. Later it was revealed that quadratic differ- entials and their trajectories give solutions ...
Doctoral thesis
• #### Persistent Homology via Quotient Spaces ﻿

(The University of Bergen, 2017-12-20)
A point cloud can be endowed with a topological structure by constructing a simplicial complex using the points as vertices. Instead of assigning a single simplicial complex, Topological Data Analysis (TDA) employs multiple ...
Master thesis
• #### En studie av Letterplace- og Co-letterplace-idealer over et poset P, når |P| = 2,3 ﻿

(The University of Bergen, 2017-12-20)
Master thesis
• #### Numerisk modellering av grunne geotermiske systemer. Modellering og analyse av Komplett Arena, samt sammenligning av to ulike modelleringsverktøy ﻿

(The University of Bergen, 2017-12-14)
Numeriske modelleringsverktøy har utviklet seg til å bli et viktig verktøy ved prosjektering av større geotermiske systemer. Korrekt anvendelse av slike verktøy sørger for at tilhørende simuleringsresultater gir et ...
Master thesis
• #### Modellering av Antropogenisk Allee Effekt (AAE) ﻿

(The University of Bergen, 2018-01-03)
Master thesis
• #### Vertical equilibrium models for coupled flow and transport problems ﻿

(The University of Bergen, 2017-12-20)
A better understanding of viscous fingering can help to increase the recovery of hydrocarbons. The need for modelling the impact of viscous fingering is great as it largely dictates the sweep quality of hydrocarbons in a ...
Master thesis
• #### Fører omvendt undervisning til høyere læringsutbytte? ﻿

(The University of Bergen, 2017-12-20)
Omvendt undervisning blir mer og mer populært. Omvendt undervisning er en undervisningsmetode hvor gjennomgangen av nye temaer gjøres ved at elevene ser en videoforelesning hjemme, når eleven kommer på skolen vil fokuset ...
Master thesis
• #### ENUMATH 2017: Book of Abstracts ﻿

(The University of Bergen, 2017)
Conference object
• #### Numerical bifurcation for the capillary Whitham equation ﻿

(Elsevier, 2017-03)
The so-called Whitham equation arises in the modeling of free surface water waves, and combines a generic nonlinear quadratic term with the exact linear dispersion relation for gravity waves on the free surface of a fluid ...
Journal article
• #### Using sensitivities and vertical-equilibrium models for parameter estimation of CO2 injection models with application to Sleipner data ﻿

(Elsevier, 2017-07)
A key part of planning CO2 storage sites is to devise a monitoring strategy with proper modelling support. Herein, we show how a simulation framework that incorporates adjoint-based sensitivities can be combined with ...
Journal article
• #### Flow Properties of Fully Nonlinear Model Equations for Surface Waves ﻿

(The University of Bergen, 2017-11-03)
The focus of this thesis is wave motion in shallow water. In particular, we investigate some properties of flows underneath long waves in shallow water and present the results in two parts. The first part contains a ...
Doctoral thesis
• #### On the shoaling of solitary waves in the KdV equation ﻿

(American Society of Civil Engineers, 2014)
The waveheight change in surface waves with a sufficiently slow variation in depth is examined. Using a new formulation of the energy flux associated to waves modeled by the Korteweg-de Vries equation, a system of three ...
Conference object
• #### Nonlinear Spectrum Analysis based on the Local Gaussian Correlation and Model Selection for Copulas ﻿

(The University of Bergen, 2017-11-20)
Doctoral thesis
• #### Nonlinear cross-spectrum analysis via the local Gaussian correlation ﻿

(2017)
Spectrum analysis can detect frequency related structures in a time series $\{Y_t\}_{t\in\mathbb{Z}}$, but may in general be an inadequate tool if asymmetries or other nonlinear phenomena are present. This limitation is a ...
Journal article
• #### Nonlinear spectral analysis via the local Gaussian correlation ﻿

(2017)
The spectral distribution $f(\omega)$ of a stationary time series $\{Y_t\}_{t\in\mathbb{Z}}$ can be used to investigate whether or not periodic structures are present in $\{Y_t\}_{t\in\mathbb{Z}}$, but $f(\omega)$ has some ...
Journal article
• #### Vertical Equilibrium Flow Models with Fully Coupled Geomechanics for CO2 Storage Modeling, Using Precomputed Mechanical Response Functions ﻿

(Elsevier, 2017)
Vertical equilibrium (VE) models have proved to be attractive for simulation of \co storage scenarios. Their primary advantage is a substantial reduction in computational requirements compared to standard 3D simulation ...
Journal article
• #### Investigation of long-wave model equations for a liquid CO2-seawater interface in deep water ﻿

(The University of Bergen, 2017-11-04)
Master thesis
• #### «Hæh? Er det der en modell liksom?» Ei studie av R2 elevar si oppfatning av læringsutbyttet ved eit didaktisk kontraktbrot. ﻿

(The University of Bergen, 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 ...
Master thesis
• #### Automorphism groups of pseudo H-type Lie algebras ﻿

(The University of Bergen, 2017-07-26)
Master thesis