Browsing Institutt for matematiske fag by Title
Now showing items 41-60 of 2376
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A Hybrid Metaheuristic for a Multi-Objective Mixed Capaciated General Routing Problem
(Master thesis, 2014)In this thesis, we have studied a bi-objective variant of the Mixed Capacitated General Routing Problem (MCGRP). The MCGRP is a generalization of other well known routing problems. It is defined on a mixed, weighted graph, ... -
A kink-model for gas simulation
(Master thesis, 2020)I denne masteroppgaven er vi interessert i Eulerligningene for kompressibel gass. En vanlig modell for å simulere gassflyt i rør er de isotermiske Eulerligningene. I denne oppgaven vil vi se på en modell som beskriver ... -
A Lagrangian view on complete integrability of the conservative Camassa– Holm flow
(Journal article; Peer reviewed, 2017)We show how the change from Eulerian to Lagrangian coordinates for the two-component Camassa–Holm system can be understood in terms of certain reparametrizations of the underlying isospectral problem. The respective ... -
A Library for Computing with Trees and B-Series
(Master thesis, 2015)Unordered rooted trees and B-series can be used to analyze the properties of many one-step methods for autonomous ordinary differential equations. This thesis describes aspects of trees and B-series necessary to use them ... -
A Lichnerowicz estimate for the spectral gap of a sub-Laplacian
(Journal article; Peer reviewed, 2019)Abstract: For a second order operator on a compact manifold satisfying the strong Hörmander condition, we give a bound for the spectral gap analogous to the Lichnerowicz estimate for the Laplacian of a Riemannian manifold. ... -
‘A lifebuoy’ and ‘a waste of time’: patients’ varying experiences of multidisciplinary pain centre treatment- a qualitative study
(Journal article; Peer reviewed, 2019)Background: The recognition of chronic pain as a biopsychosocial phenomenon has led to the establishment of multidisciplinary pain treatment facilities, such as pain centres. Previous studies have focussed on inpatient, ... -
A Lipschitz metric for the Hunter-Saxton equation
(Journal article; Peer reviewed, 2019)We analyze stability of conservative solutions of the Cauchy problem on the line for the (integrated) Hunter–Saxton (HS) equation. Generically, the solutions of the HS equation develop singularities with steep gradients ... -
A Look Into Homomorphic Cryptography and the BV Homomorphic Encryption Scheme
(Bachelor thesis, 2020)Vi tar en titt på det homomorfiske kryptosystemet BV og ser i tillegg på sikkerhets-, korrekthets- of compakthets-bevis for dette som et eksempel på hvordan man driver med homomorfisk kryptografi og hvordan man kan skrive ... -
A Mass-Conservative Sequential Implicit Multiscale Method for General Compositional Problems
(Journal article; Peer reviewed, 2018)Compositional simulation is necessary for a wide variety of reservoir-simulation applications, and it is especially valuable for accurate modeling of near-miscible gas injection for enhanced oil recovery. Because the ... -
A mathematical model for calculating river hydrographs using high resolution digital elevation models
(Master thesis, 2017)Prediction of floods is important to prevent damage to human lives, build- ings or infrastructure, and we have developed a simulation model to address this. The model is a so-called distributed rainfall-runoff model, which ... -
A Memory-Tight Reduction for the Twin Hashed ElGamal
(Master thesis, 2022)I denne oppgaven ser vi på minnetetthet som en betingelse for sikkerhet i reduksjonsbaserte sikkerhetsbeviser. Minneeffektivitet er en viktig kompleksitetsparameter for black-box-reduksjoner når det aktuelle kryptografiske ... -
A methodology for instructional design in mathematics—with the generic and epistemic student at the centre
(Journal article; Peer reviewed, 2017)This theoretical paper presents a methodology for instructional design in mathematics. It is a theoretical analysis of a proposed model for instructional design, where tasks are embedded in situations that preserve meaning ... -
A model for instructional design in mathematics implemented in teacher education
(Journal article; Peer reviewed, 2018)This paper presents a model for instructional design in mathematics and reports from student teachers’ experimentation with it in secondary school. The model is framed within the theory of didactical situations in mathematics. ... -
A modelling approach to assessing the timescale uncertainties in proxy series with chronological errors.
(Journal article; Peer reviewed, 2012) -
A Modular Implementation of the Traffic Equation Using the Cell Transmission Model
(Master thesis, 2019)Evnen til å simulere og modifisere et veinett i en virtuell simulering er et uvurderlig verktøy for å spare ressurser og tid for å identifisere den beste løsningen på et gitt problem. Målet med dette prosjektet var å skape ... -
A multiple-try Metropolis-Hastings algorithm with a tailored number of proposals
(Master thesis, 2019)Oppgaven presenterer en multiple-try Metropolis Hastings algoritme, som utvider målfordelingen til å sample en rettet asyklisk graf med et sett av noder og rettede kanter. Hver node er assosiert med en verdi som potensielt ... -
A multiple-try Metropolis–Hastings algorithm with tailored proposals
(Journal article; Peer reviewed, 2019)We present a new multiple-try Metropolis–Hastings algorithm designed to be especially beneficial when a tailored proposal distribution is available. The algorithm is based on a given acyclic graph G, where one of the nodes ... -
A new latent-variable statistical method for estimating the cost of phenotypic plasticity
(Master thesis, 2020)En ny latent variabel-metode for å oppdage kostnaden av plastisitet i en population har blitt testet ved hjelp av simuleringer. Individuell fitness ble modellert av en Poisson-fordeling med forventningsverdi i henhold til ... -
A non-local approach to waves of maximal height for the Degasperis-Procesi equation
(Journal article; Peer reviewed, 2019)We consider the non-local formulation of the Degasperis-Procesi equation , where L is the non-local Fourier multiplier operator with symbol . We show that all , pointwise travelling-wave solutions are bounded above by the ... -
A non-strictly pseudoconvex domain for which the squeezing function tends to 1 towards the boundary
(Journal article; Peer reviewed, 2018)In recent work by Zimmer it was proved that if Ω ⊂ C n is a bounded convex domain with C ∞-smooth boundary, then Ω is strictly pseudoconvex provided that the squeezing function approaches one as one approaches the boundary. ...