Browsing Department of Mathematics by Title
Now showing items 1016-1035 of 1088
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Transferring model structures to operads
(Master thesis, 2023-06-01)The thesis defines symmetric operads in some symmetric monoidal category, and gives sufficient conditions for there to be a model category structure on them. -
Trapping of dilute ion components in wells and double wells in higher equatorial magnetic regions: A kinetic theory including collisions, varying background and additional fields
(Department of Applied Mathematics report, Research report, 2001-08) -
Triangulations of polygons and stacked simplicial complexes: separating their Stanley–Reisner ideals
(Journal article; Peer reviewed, 2022)A triangulation of a polygon has an associated Stanley–Reisner ideal. We obtain a full algebraic and combinatorial understanding of these ideals and describe their separated models. More generally, we do this for stacked ... -
Trigonometric interpolation on lattice grids
(Peer reviewed; Journal article, 2015)In this paper we construct non-aliasing interpolation spaces and Lagrange functions for lattice grids. We argue that lattice grids are good for trigonometric interpolation and support this claim by numerical experiments. ... -
TV-Stokes And Its Variants For Image Processing
(Doctoral thesis, 2021-03-30)The total variational minimization with a Stokes constraint, also known as the TV-Stokes model, has been considered as one of the most successful models in image processing, especially in image restoration and sparse-data-based ... -
Two Level Additive Schwarz Preconditioner For Control Volume Finite Element Methods
(Master thesis, 2010-09-22)In this thesis we investigate nummerically the convergence properties of the control volume finite element method (CVFEM) preconditioned with a two level overlapping additive Schwarz method. Relevant theory regarding the ... -
Two phase flow including interfacial area as a variable
(Chapter, 2000)Based on the procedure of (Gray & Hassanizadeh 1998) we state macroscale conservation equations for multi phase flow in porous media including interfacial area as a variable. The phases we consider are a solid phase, a ... -
Two-level simulation of injection-induced fracture slip and wing-crack propagation in poroelastic media
(Journal article; Peer reviewed, 2022)In fractured poroelastic media under high differential stress, the shearing of pre-existing fractures and faults and propagation of wing cracks can be induced by fluid injection. This paper presents a two-dimensional ... -
Two-phase flow in porous media: dynamic capillarity and heterogeneous media
(Peer reviewed; Journal article, 2015-08-11)We investigate a two-phase porous media flow model, in which dynamic effects are taken into account in phase pressure difference. We consider a one-dimensional heterogeneous case, with two adjacent homogeneous blocks ... -
Two-scale preconditioning for two-phase nonlinear flows in porous media
(Peer reviewed; Journal article, 2015)Solving realistic problems related to flow in porous media to desired accuracy may be prohibitively expensive with available computing resources. Multiscale effects and nonlinearities in the governing equations are among ... -
A two-way nesting procedure for an ocean model with application to the Norwegian Sea.
(Department of Applied Mathematics report, Research report, 2000-11) -
Udvikling af elevers matematiske forståelse gennem helklassediskussion
(Journal article; Peer reviewed, 2021)I denne artikel vil jeg på baggrund af udvalgt litteratur og empiri diskutere og give eksempler på, hvordan en matematiklærer kan gennemføre en dialog på klassen. Klasserumsdialoger kritiseres ofte, og somme tider med god ... -
Ulrich bundles on a general blow-up of the plane
(Journal article; Peer reviewed, 2023)We prove that on X n , the plane blown-up at n very general points, there are Ulrich line bundles with respect to a line bundle corresponding to curves of degree m passing simply through the n blown-up points, with m ≤ 2√n ... -
Unconditionally stable Methods for Hamilton-Jacobi Equations
(Department of Applied Mathematics report, Research report, 2000-05) -
Understanding learner behaviour in online courses with Bayesian modelling and time series characterisation
(Journal article; Peer reviewed, 2021)The intrinsic temporality of learning demands the adoption of methodologies capable of exploiting time-series information. In this study we leverage the sequence data framework and show how data-driven analysis of temporal ... -
Undervisning av integrasjon før derivasjon
(Master thesis, 2020-06-25) -
Unified flash calculations with isenthalpic and isochoric constraints
(Journal article; Peer reviewed, 2024)In the unified flash procedure, a persistent set of unknowns and equations are solved in equilibrium calculations, allowing for simultaneous phase stability and split calculations. For fluids in a subcritical thermodynamic ... -
A unified multilevel framework of upscaling and domain decomposition
(Conference lecture, 2010)We consider multiscale preconditioners for a class of mass-conservative domain-decomposition (MCDD) methods. For the application of reservoir simulation, we need to solve large linear systems, arising from finite-volume ... -
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 ... -
An Upscaled Model for Permeable Biofilm in a Thin Channel and Tube
(Peer reviewed; Journal article, 2020-01-21)In this paper, we derive upscaled equations for modeling biofilm growth in porous media. The resulting macroscale mathematical models consider permeable multi-species biofilm including water flow, transport, detachment and ...