Blar i Department of Mathematics på tittel
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Continuous Max-Flow for Image Segmentation with Shape Priors
(Master thesis, 2014-06-02)In this thesis we propose a stable method for image segmentation with shape priors. The original Chan-Vese intensity based segmentation model with regularisation term is extended to include shape prior information. We study ... -
Continuous Updating of a Coupled Reservoir-Seismic Model Using an Ensemble Kalman Filter Technique
(Doctoral thesis, 2007-03-29)This work presents the development of a method based on the ensemble Kalman filter (EnKF) for continuous reservoir model updating with respect to the combination of production data, 3D seismic data and time-lapse seismic ... -
Controllability on Infinite-Dimensional Manifolds: A Chow-Rashevsky Theorem
(Peer reviewed; Journal article, 2014-04-29)One of the fundamental problems in control theory is that of controllability, the question of whether one can drive the system from one point to another with a given class of controls. A classical result in geometric control ... -
Convective mixing in geological carbon storage
(Doctoral thesis, 2011-11-25)The industrial era has seen an exponential growth in the atmospheric concentration of carbon dioxide (CO2), resulting mainly from the burning of fossil fuels. This can cause changes in the climate that have severe impacts ... -
Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity
(Peer reviewed; Journal article, 2015-11-19)We show convergence of a cell-centered finite volume discretization for linear elasticity. The discretization, termed the MPSA method, was recently proposed in the context of geological applications, where cell-centered ... -
Convergence of Chandrashekar’s Second-Derivative Finite-Volume Approximation
(Journal article; Peer reviewed, 2023)We consider a slightly modified local finite-volume approximation of the Laplacian operator originally proposed by Chandrashekar (Int J Adv Eng Sci Appl Math 8(3):174–193, 2016, https://doi.org/10.1007/s12572-015-0160-z). ... -
Convergence of energy stable finite-difference schemes with interfaces
(Journal article; Peer reviewed, 2021)We extend the convergence results in Svärd and Nordström (2019) [7] for single-domain energy-stable high-order finite difference schemes, to include domains split into several grid blocks. The analysis also demonstrates ... -
Convergence of finite differences schemes for viscous and inviscid conservation laws with rough coefficients.
(Department of Applied Mathematics report, Research report, 2000-09) -
Convergence Rate Analysis of an Asynchronous Space Decomposition Method for Convex Minimization
(Department of Applied Mathematics report, Research report, 1998-08) -
Convergence Rate Analysis of Domain Decomposition Methods for Obstacle Problems
(Department of Applied Mathematics report, Research report, 1999-01) -
A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media
(Research report, 2017)In this work we present a mass conservative numerical scheme for two-phase flow in porous media. The model for flow consists on two fully coupled, non-linear equations: a degenerate parabolic equation and an elliptic ... -
Convolutional Neural Networks for Malaria Detection
(Master thesis, 2019-12-13)Together with doctors at Haukeland University Hospital in Bergen, we wanted to research how the diagnosis of malaria can be improved. We propose a method that can detect malaria parasites (Plasmodium falciparum) in microscope ... -
A copula-based multivariate hidden Markov model for modelling momentum in football
(Journal article; Peer reviewed, 2021)We investigate the potential occurrence of change points—commonly referred to as “momentum shifts”—in the dynamics of football matches. For that purpose, we model minute-by-minute in-game statistics of Bundesliga matches ... -
Copulas and Local Gaussian Correlation
(Master thesis, 2012-05-30)We are looking at copula models and dependence measures. Especially the recently developed local dependence measure called local Gaussian correlation (LGC) is presented, and its connection with the copula theory is explored. ... -
The Corrected Operator Splitting Approach Applied to a Nonlinear Advection-Diffusion Problem
(Department of Applied Mathematics report, Research report, 1997-01) -
Corrected Operator Splitting for Nonlinear Parabollic Equations
(Department of Applied Mathematics report, Research report, 1997-04) -
Corrections to Classical Kinetic and Transport Theory for a Two-Temperature, Fully lonized Plasma in Electromagnetic Fields
(Department of Applied Mathematics report, Research report, 1977-06) -
Cost efficient environmental survey paths for detecting continuous tracer discharges
(Peer reviewed; Journal article, 2017-07)Designing monitoring programs for detecting potential tracer discharges from unknown locations is challenging. The high variability of the environment may camouflage the anticipated anisotropic signal from a discharge, and ... -
Count time series with application to corporate defaults
(Master thesis, 2020-06-12) -
Coupled effects of wave and depth-dependent current interaction on loads on a bottom-fixed vertical slender cylinder
(Journal article; Peer reviewed, 2023)The coupled effects of waves and a subsurface current on the hydrodynamic loads on offshore slender structures in coastal water regions have been examined in this paper, especially the coupling of the weak nonlinearity of ...