Browsing Department of Mathematics by Document Types "Doctoral thesis"
Now showing items 41-60 of 106
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Lie–Butcher series and geometric numerical integration on manifolds
(Doctoral thesis, 2011-11-04)The thesis belongs to the field of “geometric numerical integration” (GNI), whose aim it is to construct and study numerical integration methods for differential equations that preserve some geometric structure of the ... -
Long Wave Models with Application to High Speed Vessels in Shallow Water
(Doctoral thesis, 2007-02-23) -
Mathematical and Numerical Analysis of Flow in Deformable Porous Media
(Doctoral thesis, 2019-11-27)This dissertation focuses on the mathematical analysis and numerical solution of coupled deformation- and flow-related processes in porous media, modeled by the theory of poro-elasticity. It comprises contributions within ... -
Mathematical Imaging with Applications to MRI and Diffusion Tensor MRI
(Doctoral thesis, 2007-03-26) -
Mathematical modeling of microbial enhanced oil recovery with focus on bio-plug technology: from the pore to the core scale
(Doctoral thesis, 2019-06-14)This dissertation addresses the applications and challenges of both laboratory experiments and mathematical modeling at different scales, where the main character is biofilm. Thus, the first part of this work shows biological, ... -
Mathematical modelling in upper secondary school : A case study of Norwegian curriculum discourses
(Doctoral thesis, 2023-04-26)Innanfor matematikkdidaktisk forsking har matematisk modellering utvikla seg som forskingsfelt, der forskarar frå alle verdsdelar er aktive. Ulike perspektiv på matematisk modellering har vakse fram, og det er identifisert ... -
Mathematical Segmentation and Denoising of Images with Applications to MRI and Diffusion Tensor MRI
(Doctoral thesis, 2008-02-01)In medicine digital images play a vital role in both research and clinical work. Using advanced techniques like Magnetic Resonance Imaging (MRI), Computertomografi (CT), Positron Emission Tomography (PET) or X-ray, images ... -
Mathematics in everyday life A study of beliefs and actions
(Doctoral thesis, 2006-03-29) -
Medical Image Segmentation: Thresholding and Minimum Spanning Trees
(Doctoral thesis, 2023-08-18)I bildesegmentering deles et bilde i separate objekter eller regioner. Det er et essensielt skritt i bildebehandling for å definere interesseområder for videre behandling eller analyse. Oppdelingsprosessen reduserer ... -
Methods and Tools for Analysis of Symmetric Cryptographic Primitives
(Doctoral thesis, 2014-12-01)The development of modern cryptography is associated with the emergence of computing machines. Since specialized equipment for protection of sensitive information was initially implemented only in hardware, stream ciphers ... -
Model development for efficient simulation of CO2 storage
(Doctoral thesis, 2018-02-16)Carbon capture and storage (CCS) is an important component of several initiatives to reduce global greenhouse gas emissions by injecting and storing CO2 in underground reservoirs. Simulation technology plays an important ... -
Modeling and simulation of blood circulation and perfusion
(Doctoral thesis, 2023-06-16)Numeriske simuleringer har hatt vesentlig betydning for vår forståelse av perfusjon og blodsirkulasjon, og simuleringer gir også viktig innsikt under utviklingen av medisinske anvendelser. Teknologiske fremskritt har ... -
Modeling of heat transfer in porous media in the context of geothermal energy extraction
(Doctoral thesis, 2015-10-02)This dissertation concerns mathematical modeling related to heat transfer in the subsurface relevant for geothermal energy extraction. Two applications are considered: First, natural convection in a homogeneous porous ... -
Modeling of Multi Phase Flow in Porous Media: Operator Splitting, Front Tracking, Interfacial Area and Network Models
(Doctoral thesis, 2001-12-20)In this work several new numerical methods and a new mathematical model related to multi phase flow in oil reservoirs have been developed, implemented and tested. The numerical difficulties in multi phase flow stem from ... -
Modelling and simulation of thermo-hydro-mechanical processes in fractured porous media
(Doctoral thesis, 2021-02-26)Understanding and predicting processes in fractured porous media is of wide interest, with applications such as geothermal energy extraction, water management and storage of CO$_2$ and energy. Characterisation and monitoring ... -
Modelling of Three-Phase Flow Functions for Applications in Enhanced Oil Recovery
(Doctoral thesis, 2009-05-22) -
Multilevel assimilation of inverted seismic data
(Doctoral thesis, 2023-04-14)I ensemble-basert data-assimilering (DA) er størrelsen på ensemblet vanligvis begrenset til hundre medlemmer. Rett frem bruk av ensemble-basert DA kan resultere i betydelig Monte Carlo-feil, som ofte viser seg som alvorlig ... -
Multiscale analysis of selected problems in fluid dynamics
(Doctoral thesis, 2017-02-03)The world around us is inherently multiscale. The variety of different models depending on the reference scale is particularly diverse in problems of fluid-solid systems. For those systems, the geometry, effective parameters ... -
Multiscale simulation of flow and heat transport in fractured geothermal reservoirs
(Doctoral thesis, 2013-03-04) -
Multivariate and conditional density estimation using local Gaussian approximations
(Doctoral thesis, 2016-09-23)Paper 1 ”Bias and bandwidth for local likelihood density estimation”: A local likelihood density estimator is shown to have asymptotic bias depending on the dimension of the local parameterization. Comparing with kernel ...