• Modified action and differential operators on the 3-D sub-Riemannian sphere 

      Chang, Der-Chen; Markina, Irina; Vasiliev, Alexander (Peer reviewed; Journal article, 2010-12)
      Our main aim is to present a geometrically meaningful formula for the fundamental solutions to a second order sub-elliptic differential equation and to the heat equation associated with a sub-elliptic operator in the ...
    • Moduli of curves on Enriques surfaces 

      Knutsen, Andreas Leopold; Ciliberto, Ciro; Dedieu, Thomas; Galati, Concettina (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 non-standard Nikulin surfaces in low genus 

      Knutsen, Andreas Leopold; Lelli-Chiesa, Margherita; Verra, Alessandro (Journal article; Peer reviewed, 2020)
      Primitively polarized genus g Nikulin surfaces (S, M, H) are of two types, that we call standard and non-standard 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 

      Belyaeva, Elena Vasilievna (Master thesis, 2011-05-23)
      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 quasi-static thermo-poroelasticity with nonlinear convective transport 

      Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2020)
      This paper concerns monolithic and splitting-based iterative procedures for the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we consider is formulated as a three-field system ...
    • Monotone Difference Approximation of BV Solutions to Degenerate Convection-Diffusion Equations 

      Evje, Steinar; Karlsen, Kenneth Hvistendahl (Department of Applied Mathematics report, Research report, 1998-03)
    • Monotonicity Conditions for Discretization of Parabolic Conservation Laws 

      Hvidevold, Hilde Kristine (Master thesis, 2009-06-02)
      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 ...
    • MRI-based radiomic signatures for pretreatment prognostication in cervical cancer 

      Wagner-Larsen, Kari Strøno; Hodneland, Erlend; Fasmer, Kristine Eldevik; Lura, Njål; Woie, Kathrine; Bertelsen, Bjørn; Salvesen, Øyvind Olav; Halle, Mari Kyllesø; Smit, Noeska Natasja; Krakstad, Camilla; Haldorsen, Ingfrid S. (Journal article; Peer reviewed, 2023)
      Background Accurate pretherapeutic prognostication is important for tailoring treatment in cervical cancer (CC). Purpose To investigate whether pretreatment MRI-based radiomic signatures predict disease-specific ...
    • Multidimensional Fourier Transform on Sparse Grids 

      Fjær, Sveinung (Master thesis, 2009-06-01)
      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 ...
    • Multilevel assimilation of inverted seismic data 

      Nezhadali, Mohammad (Doctoral thesis, 2023-04-14)
      I ensemble-basert data-assimilering (DA) er størrelsen på ensemblet vanligvis begrenset til hundre medlemmer. Rett frem bruk av ensemble-basert DA kan resultere i betydelig Monte Carlo-feil, som ofte viser seg som alvorlig ...
    • Multiple bilinear time series models 

      Stensholt, Boonchai K.; Tjøstheim, Dag (Statistical report no. 11, Research report, 1985-06)
    • Multiplicative parametrized homotopy theory via symmetric spectra in retractive spaces 

      Hebestreit, Fabian; Sagave, Steffen; Schlichtkrull, Christian (Journal article; Peer reviewed, 2020)
      In order to treat multiplicative phenomena in twisted (co)homology, we introduce a new point-set-level framework for parametrized homotopy theory. We provide a convolution smash product that descends to the corresponding ...
    • Multipliers of the Dirichlet space 

      Alsaker, Henning Abbedissen (Master thesis, 2009-11-20)
      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 

      Alyaev, Sergey (Doctoral thesis, 2017-02-03)
      The world around us is inherently multiscale. The variety of different models depending on the reference scale is particularly diverse in problems of fluid-solid systems. For those systems, the geometry, effective parameters ...
    • A Multiscale Approach to Estimate Large Scale Flow and Leakage from Geological Storage 

      Elje, Elin Marie (Master thesis, 2010-06-01)
      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 Darcy-Forchheimer fracture models 

      Ahmed, Elyes; Fumagalli, Alessio; Budisa, Ana (Peer reviewed; Journal article, 2019-05-27)
      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 mixed-dimensional setting of the discrete fracture matrix model, ...
    • Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids 

      Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar (Peer reviewed; Journal article, 2011-06)
      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 Non-Darcy Flows 

      Alyaev, Sergey; Keilegarden, Eirik; Nordbotten, Jan Martin (Chapter; Peer reviewed, 2012-06)
      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 

      Otneim, Håkon (Doctoral thesis, 2016-09-23)
      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 ...