Blar i Department of Mathematics på tittel
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pKernel Stein Variational Gradient Descent for Data Assimilation and History Matching
(Journal article; Peer reviewed, 2021)A Bayesian method of inference known as “Stein variational gradient descent” was recently implemented for data assimilation problems, under the heading of “mapping particle filter”. In this manuscript, the algorithm is ... 
Pairwise local Fisher and naive Bayes: Improving two standard discriminants
(Journal article; Peer reviewed, 2020)The Fisher discriminant is probably the best known likelihood discriminant for continuous data. Another benchmark discriminant is the naive Bayes, which is based on marginals only. In this paper we extend both discriminants ... 
Parallel function decomposition and space decomposition methods  part II. Applications to splitting and domain decomposition
(Department of Applied Mathematics report, Research report, 199404) 
Parallel Function Decomposition Methods and Numerical Applications
(Department of Applied Mathematics report, Research report, 199709) 
Parameter Estimation of Multivariate Factor Stochastic Volatility Models
(Master thesis, 20180622)Volatility is a crucial aspect of risk management and important to accurately quantify. A broad range of models and methods tackle this problem, but there is no consensus to exactly which method or model that solves this ... 
Parameter estimation with the augmented Lagrangian method for a parabolic equation.
(Department of Applied Mathematics report, Research report, 200101) 
Passer og linjal, origami og Galoisteori
(Master thesis, 20110601)Denne oppgaven prøver å belyse konstruksjoner med passer og linjal og origami ved hjelp av Galois teori. De tre klassiske problemene: Kubens fordobling, sirkelens kvadratur og vinkelens tredeling er sentrale. Oppgaven er ... 
Pattern formation in a 2population homogenized neuronal network model
(Journal article; Peer reviewed, 2021)We study pattern formation in a 2population homogenized neural field model of the Hopfield type in one spatial dimension with periodic microstructure. The connectivity functions are periodically modulated in both the ... 
PDE Based Algorithms for Smooth Watersheds
(Peer reviewed; Journal article, 201604)Watershed segmentation is useful for a number of image segmentation problems with a wide range of practical applications. Traditionally, the tracking of the immersion front is done by applying a fast sorting algorithm. In ... 
Penalized Splitting in Modelling Structures of Live Tissues
(Master thesis, 20200619) 
Permeability estimation with the Augmented Lagrangian method for a nonlinear diffusion equation.
(Department of Applied Mathematics report, Research report, 200101) 
Persistent Homology via Quotient Spaces
(Master thesis, 20171220)A point cloud can be endowed with a topological structure by constructing a simplicial complex using the points as vertices. Instead of assigning a single simplicial complex, Topological Data Analysis (TDA) employs multiple ... 
Perturbation about neutral solutions occurring in shear flows in stratified, incompressible and inviscid fluids.
(Department of Applied Mathematics report, Research report, 197306) 
Phase field modeling of precipitation and dissolution processes in porous media: Upscaling and numerical experiments
(Journal article; Peer reviewed, 2020)We consider a model for precipitation and dissolution in a porous medium, where ions transported by a fluid through the pores can precipitate at the pore walls and form mineral. Also, the mineral can dissolve and become ... 
Physical activity level at work and risk of chronic low back pain: A followup in the NordTrøndelag Health Study
(Peer reviewed; Journal article, 20170410)Background: Physical activity in leisure time seems to reduce the risk of low back pain, but it is not known whether occupational activity, as recorded in a representative working population, produces a higher or lower ... 
Physics Informed Neural Networks for Inverse AdvectionDiffusion Problems
(Master thesis, 20211122)In this study, we will address the problem of localising a source of pollutant given a sparse set of noisy data. By sparse we mean spatially separated timeseries measurements in space. To this end, we will be adopting a ... 
Polish Translation and Validation of the Tinnitus Handicap Inventory and the Tinnitus Functional Index
(Peer reviewed; Journal article, 20161129)Objective: The need for validated measures enabling clinicians to classify tinnitus patients according to the severity of tinnitus and screen the progress of therapies in our country led us to translate into Polish and to ... 
Polynomials homologically supported on determinantal loci
(Department of Pure Mathematics report no. 61, Research report, 199110) 
A pore network model for calculation of interfacial velocities
(Peer reviewed; Journal article, 2003)Twophase flow in porous media is characterized by fluidfluid interfaces that separate the fluid phases at the pore scale. These interfaces support pressure differences between phases, and their dynamics allow for saturation ... 
A porescale model for permeable biofilm: Numerical simulations and laboratory experiments
(Peer reviewed; Journal article, 2019)In this paper, we derive a porescale model for permeable biofilm formation in a twodimensional pore. The pore is divided into two phases: water and biofilm. The biofilm is assumed to consist of four components: water, ...