Browsing Department of Mathematics by Title
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Models for CO2 injection with coupled thermal processes
(Peer reviewed; Journal article, 2014)Largescale models of carbon dioxide (CO2) storage in geological formations must capture the relevant physical, chemical and thermodynamic processes that affect the migration and ultimate fate of injected CO2. These processes ... 
Modified action and differential operators on the 3D subRiemannian sphere
(Peer reviewed; Journal article, 201012)Our main aim is to present a geometrically meaningful formula for the fundamental solutions to a second order subelliptic differential equation and to the heat equation associated with a subelliptic operator in the ... 
Moduli of curves on Enriques surfaces
(Journal article; Peer reviewed, 2020)We compute the number of moduli of all irreducible components of the moduli space of smooth curves on Enriques surfaces. In most cases, the moduli maps to the moduli space of Prym curves are generically injective or dominant. ... 
Moduli of nonstandard Nikulin surfaces in low genus
(Journal article; Peer reviewed, 2020)Primitively polarized genus g Nikulin surfaces (S, M, H) are of two types, that we call standard and nonstandard depending on whether the lattice embedding Z[H] ⊕⊥ N ⊂ Pic S is primitive. Here H is the genus g polarization ... 
Modulus method and its application to the theory of univalent functions
(Master thesis, 20110523)This work is about the modulus method in univalent function theory. It is based on the notion of modulus of families of curves on Riemann surface and is turned out to be very useful in solving various extremal problems in ... 
Monolithic and splitting solution schemes for fully coupled quasistatic thermoporoelasticity with nonlinear convective transport
(Journal article; Peer reviewed, 2020)This paper concerns monolithic and splittingbased iterative procedures for the coupled nonlinear thermoporoelasticity model problem. The thermoporoelastic model problem we consider is formulated as a threefield system ... 
Monotone Difference Approximation of BV Solutions to Degenerate ConvectionDiffusion Equations
(Department of Applied Mathematics report, Research report, 199803) 
Monotonicity Conditions for Discretization of Parabolic Conservation Laws
(Master thesis, 20090602)In the recent years monotonicity of control volume methods for elliptic equations has been studied. A discrete maximum principle is established in Keilegavlen et al. [18], and a set of monotonicity conditions on general ... 
Multidimensional Fourier Transform on Sparse Grids
(Master thesis, 20090601)When working on multidimensional problems, the number of points needed when using a tensor product grid. This is known as the curse of dimensionality. In this thesis we propose a set of sparse grids, which can be used to ... 
Multiple bilinear time series models
(Statistical report no. 11, Research report, 198506) 
Multiplicative parametrized homotopy theory via symmetric spectra in retractive spaces
(Journal article; Peer reviewed, 2020)In order to treat multiplicative phenomena in twisted (co)homology, we introduce a new pointsetlevel framework for parametrized homotopy theory. We provide a convolution smash product that descends to the corresponding ... 
Multipliers of the Dirichlet space
(Master thesis, 20091120)The topic of the thesis is the Dirichlet space of analytic functions in the unit disk and multipliers of this space. We study the elementary properties of multipliers, characterizations of multipliers, univalent multipliers ... 
Multiscale analysis of selected problems in fluid dynamics
(Doctoral thesis, 20170203)The world around us is inherently multiscale. The variety of different models depending on the reference scale is particularly diverse in problems of fluidsolid systems. For those systems, the geometry, effective parameters ... 
A Multiscale Approach to Estimate Large Scale Flow and Leakage from Geological Storage
(Master thesis, 20100601)Deep saline aquifers offer the greatest storage capacity for geological storage. However, the formations might be extensive and because of the oil and gas legacy the aquifers are frequently perforated by abandoned wells. ... 
A multiscale flux basis for mortar mixed discretizations of reduced DarcyForchheimer fracture models
(Peer reviewed; Journal article, 20190527)In this paper, a multiscale flux basis algorithm is developed to efficiently solve a flow problem in fractured porous media. Here, we take into account a mixeddimensional setting of the discrete fracture matrix model, ... 
Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids
(Peer reviewed; Journal article, 201106)Multiscale methods can in many cases be viewed as special types of domain decomposition preconditioners. The localisation approximations introduced within the multiscale framework are dependent upon both the heterogeneity ... 
Multiscale simulation of flow and heat transport in fractured geothermal reservoirs
(Doctoral thesis; Peer reviewed, 20130304) 
Multiscale Simulation of NonDarcy Flows
(Conference object; Peer reviewed, 201206)In this work we present control volume multiscale methods which address problems on the interaction between pore scale and Darcy scale. For the case when linear equations govern the ow on the pore scale our solution converges ... 
Multivariate and conditional density estimation using local Gaussian approximations
(Doctoral thesis, 20160923)Paper 1 ”Bias and bandwidth for local likelihood density estimation”: A local likelihood density estimator is shown to have asymptotic bias depending on the dimension of the local parameterization. Comparing with kernel ... 
Multivariate compound Poisson distributions and infinite divisibility
(Statistical report no. 33, Research report, 199903)