Browsing Department of Mathematics by Title
Now showing items 5978 of 317

Early prediction of response to radiotherapy and androgendeprivation therapy in prostate cancer by repeated functional MRI: a preclinical study
(BioMed Central, 20110608)Background: In modern cancer medicine, morphological magnetic resonance imaging (MRI) is routinely used in diagnostics, treatment planning and assessment of therapeutic efficacy. During the past decade, functional ...Peer reviewedJournal article 
Effect of Erroneous Representation of Location and Orientation of EM Receivers for Monitoring of Submarine Petroleum Reservoirs
(The University of Bergen, 20090602)The receivers in electromagnetic monitoring should optimally be placed exactly in the same location during every single acquisition. However, for technological and economical reasons, the receivers are currently brought ...Master thesis 
Efficient Global Minimization for the Multiphase ChanVese Model of Image Segmentation
(Springer Verlag, 2009)The MumfordShah model is an important variational image segmentation model. A popular multiphase level set approach, the ChanVese model, was developed as a numerical realization by representing the phases by several ...Peer reviewedJournal article 
Efficient global minimization methods for variational problems in imaging and vision
(The University of Bergen, 20110819)Energy minimization has become one of the most important paradigms for formulating image processing and computer vision problems in a mathematical language. Energy minimization models have been developed in both the ...Doctoral thesis 
An efficient software framework for performing industrial risk assessment of leakage for geological storage of CO2
(Elsevier, 2011)In response to anthropogenic CO2 emissions, geological storage has emerged as a practical and scalable bridge technology while renewables and other environmentally friendly energy production methods mature. While an ...Journal article 
Electrical conductivity of fractured media: A computational study of the selfconsistent method
(Society of Exploration Geophysicists, 2012)Effective medium theory can be used to link conductivity estimation methods with prior knowledge about the distribution of fractures in the investigated geological structure. In the literature, little work has been ...Conference object 
Elevar si grafiske forståing av derivasjon  Ei kvalitativ tilnærming
(The University of Bergen, 200605)Denne oppgåva handlar om elevar si grafiske forståing av derivasjon. Målet med oppgåva har vore å få ei oversikt over elevar sitt begrepsbilete i samband med ei grafisk framstilling av den deriverte, samt sjå på samanhengen ...Master thesis 
Elevers holdninger til matematikk i videregående skole
(The University of Bergen, 20160601)Målet med oppgaven har vært å få en dypere innsikt og mer kunnskap om elevers holdninger til matematikken på et høyere nivå i videregående skole. Ut fra et sosialkonstruktivistisk perspektiv har fokus vært rettet mot ...Master thesis 
Energieffektivitet i grunne geotermiske systemer. Modellering og analyse av systemet på Ljan skole.
(The University of Bergen, 20130617)Grunnvarme er en stadig viktigere og mer anvendt energikilde i en verden med et økende energibehov, og det er i den forbindelse viktig å utforme systemer som kan utnytte energien på en effektiv måte. Denne oppgaven tar for ...Master thesis 
Ensemble Methods of Data Assimilation in Porous Media Flow for NonGaussian Prior Probability Density
(The University of Bergen, 20150828)Ensemblebased dataassimilation methods have gained fast growth since the ensemble Kalman filter (EnKF) was introduced into the petroleum engineering. Many techniques have been developed to overcome the inherent disadvantages ...Doctoral thesis 
Entropy solutions of the compressible Euler equations
(The author, 20150511)We consider the threedimensional Euler equations of gas dynamics on a bounded periodic domain and a bounded time interval. We prove that LaxFriedrichs scheme can be used to produce a sequence of solutions with ever ...Journal article 
Estimering av permeabilitet med bruk av adaptiv parameterisering
(The University of Bergen, 20090717)Master thesis 
Evolution of a narrowband spectrum of random surface gravity waves
(Cambridge University Press, 200303)Journal article 
Exact and Superconvergent Solutions of the MultiPoint Flux Approximation Omethod: Analysis and Numerical Tests
(The University of Bergen, 20140602)In this thesis we prove the multipoint flux approximation Omethod (MPFA) to yield exact potential and flux for the trigonometric potential functions u(x,y)=sin(x)sin(y) and u(x,y)=cos(x)cos(y). This is done on uniform ...Master thesis 
Existence of a classical solution of a parabolic PIDE associated with ruin probability
(The author, 20120618)In this article we will prove existence of a classical solution of the integrodifferential equation for ruin probability in finite time stated in Paulsen (2008). 
Explicit volumepreserving splitting methods for divergencefree ODEs by tensorproduct basis decompositions
(Oxford University PressInstitute of Mathematics and its Applications, 20140223)We discuss the construction of volumepreserving splitting methods based on a tensor product of singlevariable basis functions. The vector field is decomposed as the sum of elementary divergencefree vector fields (EDFVFs), ...Journal article 
A Fast Continuous MaxFlow Approach to NonConvex Multilabeling Problems
(The authors, 2011)This work addresses a class of multilabeling problems over a spatially continuous image domain, where the data fidelity term can be any bounded function, not necessarily convex. Two total variation based regularization terms ... 
Fast Image Segmentation Using Variational Optimization Methods With Edge Detector
(The University of Bergen, 20140602)In this work, we apply techniques in variational optimization to image segmentation. We study three different segmentation models: one is based on the active contour method, the second is based on a piecewise constant level ...Master thesis 
Feasibility of simplified integral equation modeling of lowfrequency marine CSEM with a resistive target
(Society of Exploration Geophysicists, 2009)We have assessed the accuracy of a simplified integral equation (SIE) modeling approach for marine controlledsource electromagnetics (CSEM) with low applied frequencies and a resistive target. The most computationally ...Peer reviewedJournal article 
Fieldcase simulation of CO2plume migration using verticalequilibrium models
(Elsevier, 2011)When injected in deep saline aquifers, CO2 moves radially away from the injection well and progressively higher in the formation because of buoyancy forces. Analyzes have shown that after the injection period, CO2 will ...Journal article