Browsing Department of Mathematics by Issue Date
Now showing items 81-100 of 938
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A posteriori error estimation and modeling of unsaturated flow in fractured porous media
(Doctoral thesis, 2022-06-17)This doctoral thesis focuses on three topics: (1) modeling of unsaturated flow in fractured porous media, (2) a posteriori error estimation for mixed-dimensional elliptic equations, and (3) contributions to open-source ... -
Hybrid Modeling of the N-Body Problem with Applications to Astrophysics
(Master thesis, 2022-06-01)Over the last years, the field of hybrid modeling, the concept of combining data-driven machine learning models and numerical solution methods to simulate a physical system, has seen an immense increase in research. This ... -
Epistemic Uncertainty Quantification in Deep Learning by the Delta Method
(Doctoral thesis, 2022-05-16)This thesis explores the Delta method and its application to deep learning image classification. The Delta method is a classical procedure for quantifying uncertainty in statistical models, but its direct application to ... -
Fully Automatic Whole-Volume Tumor Segmentation in Cervical Cancer
(Journal article; Peer reviewed, 2022-05-11)Uterine cervical cancer (CC) is the most common gynecologic malignancy worldwide. Whole-volume radiomic profiling from pelvic MRI may yield prognostic markers for tailoring treatment in CC. However, radiomic profiling ... -
Brain Tumor Segmentation Based on Minimum Spanning Tree
(Journal article; Peer reviewed, 2022-03-11)In this paper, we propose a minimum spanning tree-based method for segmenting brain tumors. The proposed method performs interactive segmentation based on the minimum spanning tree without tuning parameters. The steps ... -
Interdisciplinary and Transferable Concepts in Bioinformatics Education: Observations and Approaches From a UK MSc Course
(Journal article; Peer reviewed, 2022-02-24)Bioinformatics is a highly interdisciplinary subject, with substantial and growing influence in health, environmental science and society, and is utilised by scientists from many diverse academic backgrounds. Education in ... -
Diagram spaces and multiplicative structures
(Doctoral thesis, 2022-01-14)This thesis explores diagrammatic E_n structures as models for E_n spaces. Paper A: Braided injections and double loop spaces. (Christian Schlichtkrull and Mirjam Solberg.) We consider a framework for representing ... -
Spatial Prediction with Long Short-Term Memory Models
(Master thesis, 2022-01-11) -
Organelle bottlenecks facilitate evolvability by traversing heteroplasmic fitness valleys
(Journal article; Peer reviewed, 2022)Bioenergetic organelles—mitochondria and plastids—retain their own genomes (mtDNA and ptDNA), and these organelle DNA (oDNA) molecules are vital for eukaryotic life. Like all genomes, oDNA must be able to evolve to suit ... -
On the Brauer group of bielliptic surfaces (with an appendix by Jonas Bergström and Sofia Tirabassi)
(Journal article; Peer reviewed, 2022)We provide explicit generators of the torsion of the second cohomology of bielliptic surfaces, and we use this to study the pullback map between the Brauer group of a bielliptic surface and that of its canonical cover. -
Parsimonious hidden Markov models for matrix-variate longitudinal data
(Journal article; Peer reviewed, 2022)Hidden Markov models (HMMs) have been extensively used in the univariate and multivariate literature. However, there has been an increased interest in the analysis of matrix-variate data over the recent years. In this ... -
Geometrically Reduced Modelling of Pulsatile Flow in Perivascular Networks
(Journal article; Peer reviewed, 2022)Flow of cerebrospinal fluid in perivascular spaces is a key mechanism underlying brain transport and clearance. In this paper, we present a mathematical and numerical formalism for reduced models of pulsatile viscous fluid ... -
Field-scale impacts of long-term wettability alteration in geological CO2 storage
(Journal article; Peer reviewed, 2022)Constitutive functions that govern macroscale capillary pressure and relative permeability are central in constraining both storage efficiency and sealing properties of storage systems. Constitutive functions for porous ... -
Modeling a 3-D multiscale blood-flow and heat-transfer framework for realistic vascular systems
(Journal article; Peer reviewed, 2022)Modeling of biological domains and simulation of biophysical processes occurring in them can help inform medical procedures. However, when considering complex domains such as large regions of the human body, the complexities ... -
On Existence and Admissibility of Singular Solutions for Systems of Conservation Laws
(Journal article; Peer reviewed, 2022)A weak notion of solution for systems of conservation laws in one dimension is put forward. In the framework introduced here, it can be shown that the Cauchy problem for any n×n system of conservation laws has a solution. ... -
A uniformly accurate scheme for the numerical integration of penalized Langevin dynamics
(Journal article; Peer reviewed, 2022)In molecular dynamics, penalized overdamped Langevin dynamics are used to model the motion of a set of particles that follow constraints up to a parameter ε. The most used schemes for simulating these dynamics are the Euler ... -
etrm: Energy Trading and Risk Management in R
(Journal article; Peer reviewed, 2022)This paper introduces etrm, an R package with tools for trading and financial risk management in energy markets. Contracts for electric power and natural gas differ from most other commodities due to the fact that physical ... -
Does the risk of chronic low back pain depend on age at menarche or menopause? A population-based cross-sectional and cohort study: the Trøndelag Health Study
(Journal article; Peer reviewed, 2022)Objective In most population-based studies of low back pain (LBP), women have a higher risk than men, possibly reflecting hormonal influences. The aim of this study was to explore associations between age at menarche and ... -
Stability Issues of Entropy-Stable and/or Split-form High-order Schemes: Analysis of Linear Stability
(Journal article; Peer reviewed, 2022)The focus of the present research is on the analysis of local energy stability of high-order (including split-form) summation-by-parts methods, with e.g. two-point entropy-conserving fluxes, approximating non-linear ...