Browsing Department of Mathematics by Title
Now showing items 240-259 of 966
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Exact and Superconvergent Solutions of the Multi-Point Flux Approximation O-method: Analysis and Numerical Tests
(Master thesis, 2014-06-02)In this thesis we prove the multi-point flux approximation O-method (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 ... -
Exact solutions for shoaling waves in shallow water
(Master thesis, 2017-03-22)The dynamics of shallow-water waves at the surface of an inviscid and incompressible fluid over a background shear flow approaching a sloping beach are investigated. First, we derive the nonlinear shallow-water equations ... -
Exceptional families of measures on Carnot groups
(Journal article; Peer reviewed, 2023)We study the families of measures on Carnot groups that have vanishing p -module, which we call Mp -exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing ... -
Exchange on dynamic encounter networks allows plant mitochondria to collect complete sets of mitochondrial DNA products despite their incomplete genomes
(Journal article; Peer reviewed, 2022)Mitochondria in plant cells usually contain less than a full copy of the mitochondrial DNA (mtDNA) genome. Here, we asked whether mitochondrial dynamics may allow individual mitochondria to ‘collect’ a full set of mtDNA-encoded ... -
Existence and Uniqueness of Non-linear, Possibly Degenerate Parabolic PDEs, with Applications to Flow in Porous Media
(Master thesis, 2017-07-26)In the branch of mathematical analysis known as functional analysis, one mainly studies functions defined on vector spaces. For partial differential equations (PDEs), this analysis has proven to be a mighty resource of ... -
Existence and uniqueness of singular solutions for a conservation law arising in magnetohydrodynamics
(Peer reviewed; Journal article, 2018-10-30) -
Existence of a classical solution of a parabolic PIDE associated with ruin probability
(Working paper, 2012-06-18)In this article we will prove existence of a classical solution of the integro-differential equation for ruin probability in finite time stated in Paulsen (2008). -
Experimental design for parameter estimation in steady-state linear models of metabolic networks
(Journal article; Peer reviewed, 2020-01)Metabolic networks are typically large, containing many metabolites and reactions. Dynamical models that aim to simulate such networks will consist of a large number of ordinary differential equations, with many kinetic ... -
Explicit volume-preserving splitting methods for divergence-free ODEs by tensor-product basis decompositions
(Peer reviewed; Journal article, 2014-02-23)We discuss the construction of volume-preserving splitting methods based on a tensor product of single-variable basis functions. The vector field is decomposed as the sum of elementary divergence-free vector fields (EDFVFs), ... -
An Exploratory Analysis of Multi-Class Uncertainty Approximation in Bayesian Convolutional Neural Networks
(Master thesis, 2018-11-22)Neural networks are an important and powerful family of models, but they have lacked practical ways of estimating predictive uncertainty. Recently, researchers from the Bayesian machine learning community developed a ... -
Exploring Spline Based Models in glmmTMB
(Master thesis, 2024-06-03)In recent times the R-package glmmTMB has been extended to facilitate spline regression. In this thesis we implement spline based smoothers in glmmTMB-models and compare them to generalized additive models from mgcv and ... -
Extending Whitney's extension theorem: nonlinear function spaces
(Journal article; Peer reviewed, 2021)We consider a global, nonlinear version of the Whitney extension problem for manifold-valued smooth functions on closed domains , with non-smooth boundary, in possibly non-compact manifolds. Assuming is a submanifold with ... -
Extreme wave runup on a steep coastal profile
(Journal article; Peer reviewed, 2020)It is shown that very steep coastal profiles can give rise to unexpectedly large wave events at the coast. We combine insight from exact solutions of a simplified mathematical model with photographs from observations at ... -
A Fast Continuous Max-Flow Approach to Non-Convex Multilabeling Problems
(Working paper, 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 ... -
Fast Image Segmentation Using Variational Optimization Methods With Edge Detector
(Master thesis, 2014-06-02)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 ... -
A fast Level Set Method for Reservoir Simulation
(Department of Applied Mathematics report, Research report, 1999-05) -
Fast robust optimization using bias correction applied to the mean model
(Peer reviewed; Journal article, 2021)Ensemble methods are remarkably powerful for quantifying geological uncertainty. However, the use of the ensemble of reservoir models for robust optimization (RO) can be computationally demanding. The straightforward ... -
Feasibility of simplified integral equation modeling of low-frequency marine CSEM with a resistive target
(Peer reviewed; Journal article, 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 ... -
Field-case simulation of CO2-plume migration using vertical-equilibrium models
(Peer reviewed; Journal article, 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 ... -
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 ...