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A General Nonlinear Reservoir Simulator with the Full Approximation Scheme
(Master thesis, 2018)Simulation of multiphase flow and transport in porous rock formations gives rise to large systems of strongly coupled nonlinear equations. Solving these equations is computationally challenging because of orders of magnitude ... 
Multilevel Analysis Applied to Fetal Growth Data with Missing Values.
(Master thesis, 2006)Intrauterine growth retardation means that the growth of a fetus is restricted as compared with its biological growth potential. This contributes to an increased risk for illnesses or death of the newborn. Therefore it ... 
Numerical Path Integration for Lévy Driven Stochastic Differential Equations
(Master thesis, 2006)Some theory on Lévy processes and stochastic differential equations driven by Lévy processes is reviewed. Inverse Fast Fourier Transform routines are applied to compute the density of the increments of Lévy processes. We ... 
Advanced Filtering in Intuitive Robot Programming
(Master thesis, 2006)This text deals with the problem of reducing multidimensional data in the context of programming an industrial robot. Different ways to treat the positional and orientational data are discussed, and algorithms for each ... 
Sequential Markov random fields and Markov mesh random fields for modelling of geological structures
(Master thesis, 2006)We have been given a twodimensional image of a geological structure. This structure is used to construct a threedimensional statistical model, to be used as prior knowledge in the analysis of seismic data. We consider ... 
A Reduced Basis Method for steady Stokes flow
(Master thesis, 2018)In light of the increasing demand for manyquery and realtime PDE solutions, reduced basis methods stand as a promising technique for developing solvers with the desired performance. In this thesis, we present the theory ... 
Efficient Methods for Topology Optimisation of Fluid flow
(Master thesis, 2018)We consider topology optimisation of twodimensional Stokes flow. The objective is to distribute a certain amount of solid material in a given domain, such that the total power dissipation is minimised. A generalised Stokes ... 
PostQuantum Multivariate Cryptography  A Study of Gui and GeMSS Signature Schemes using Gröbner Bases
(Master thesis, 2018)The main goal of this thesis is to analyze and compare the two signature schemes Gui and GeMSS, both submitted to the PostQuantum Cryptography Standardization Process initiated by the National Institute of Standards and ... 
A ThreeDimensional Finite Element Poisson Solver for Monte Carlo Particle Simulators
(Master thesis, 2018)A finite element Poisson solver for the calculation of the threedimensional electric field in selfconsistent particle simulations has been implemented in Fortran and integrated into an existing Monte Carlo simulator for ... 
Pricing Asian Options by Numerical Path Integration with Advanced Lévy Dynamics
(Master thesis, 2018)In this thesis I combine the strengths of the Path Integration method and the Fast Fourier transform to price discretely monitored, path dependent, fixed strike Asian options in a fast and accurate manner. The presented ... 
Electricity Demand Forecasting with Gaussian Process Regression
(Master thesis, 2018)For participants in the energy industry, it is vital to have access to reliable forecasts of future energy demands. The predictive routines should necessarily cope with local, transient fluctuations as well as considerable ... 
Modelling and inference of cognitive parameters in jackdaws based on data from an investment problem
(Master thesis, 2018)Studying animal cognition is both interesting on its own, and because it can improve our understanding of human cognition. It can, for example, reveal when certain cognitive treats were developed in evolution. In this ... 
Heterogeneity among species and community dynamics – Norwegian bird communities as a case study
(Journal article; Peer reviewed, 2018)We have in this study analysed bird communities across Norway with a heterogeneous species abundance model, where dynamical parameters can vary among species. Similarity in community composition over time, used as a measure ... 
Discrete gradient methods in image processing and partial differential equations on moving meshes
(Doctoral theses at NTNU;2018:235, Doctoral thesis, 2018) 
Analytical and Numerical Bifurcation Methods for Nonlocal Wave Equations
(Doctoral theses at NTNU;2018:247, Doctoral thesis, 2018) 
Tolerance Limit Communication Schemes and Nowcasting for Resource Constrained Sensor Networks  Utilizing NWP, Temporal and Spatial Dependencies for a Temperature Sensor Network at Spitsbergen
(Master thesis, 2018)In this thesis we consider resource constraint sensor networks that communicates with a fusion center. If communication and/or energy resources are limited, is it desirable to keep the number of transmissions from a sensor ... 
Discontinous Galerkin Methods for Conservation Laws,  with and without fractional diffusion
(Master thesis, 2018)This thesis was submitted on July 5'th 2018 as the Master's thesis for Alexander N Sigurdsson in Industrial Mathematics at the Department of Mathematical Sciences at The Norwegian University of Science and Technology (NTNU). ... 
Backtesting counterparty credit exposure based on the Heath, Jarrow and Morton framework for simulation of interest rates
(Master thesis, 2018)In this thesis a framework for backtesting counterparty credit exposure is developed and implemented. Using the Heath, Jarrow and Morton model for simulation of interest rates, separate models are implemented for riskneutral ... 
Machinelearning algorithms for the computation of upscaled permeabilities
(Master thesis, 2018)In fullscale reservoir simulation models, the characteristics of the rock are not fully resolved. Upscaled permeabilities are used to account for the effective behaviour of a composite region. By averaging the fine ... 
Exponential Weighted Sums related to the Divisor and Circle Problems
(Master thesis, 2018)The classical results of the Dirichlet Divisor Problem and Gauss' Circle Problem are examined, with required information on the Riemann Zeta function presented. In particular, the results derived from the weighted sums of ...