Browsing Fakultet for informasjonsteknologi og elektroteknikk (IE) by Subject "MATHEMATICS"

Now showing items 1-11 of 11

    • A Posteriori Error Estimation for Finite Element Methods and Iterative Linear Solvers 

      Melbø, Hallgeir (Dr. ingeniøravhandling, 0809-103X; 2001:98, Doctoral thesis, 2001)
      This thesis addresses a posteriori error estimation for finite element methods and iterative linear solvers. Adaptive finite element methods have gained a lot of popularity over the last decades due to their ability to ...

    • Depth consistent pp and ps seismic angle tomography 

      Foss, Stig-Kyrre (Doktoravhandlinger ved NTNU, 1503-8181; 2004:18, Doctoral thesis, 2004)
      This thesis addressed the problem of finding background models yielding depth consistent migrated PP and PS images, i.e. geologically equivalent reflectors should be imaged at the same depth in the two images. The tomographic ...

    • Dynamical systems of interacting units: Information transport and higher order structures 

      Helvik, Torbjørn (Doktoravhandlinger ved NTNU, 1503-8181; 2006:1, Doctoral thesis, 2006)
      How can one model, characterize and analyse systems consisting of a large number of interacting units? This thesis addresses various related aspects of this issue using dynamical systems theory. The thesis is constituted ...

    • Hochschild cohomology, complexity and support varieties 

      Bergh, Petter Andreas (Doktoravhandlinger ved NTNU, 1503-8181; 2006:234, Doctoral thesis, 2006)
      This PhD-thesis consists of the five papers - On the Hochschild (co)homology of quantum exterior algebras, to appear in Comm. Algebra, -Complexity and periodicity, Coll. Math. 104 (2006), no. 2, 169-191, -Twisted support ...

    • Markov chain Monte Carlo updating schemes for hidden Gaussian Markov random field models 

      Steinsland, Ingelin (Dr. ingeniøravhandling, 0809-103X; 2003:89, Doctoral thesis, 2003)
      Part I discusses how to construct approximations to the posterior distribution π(x|y, θ) of a latent Gaussian Markov random field on a graph of dimension n when data are considered conditionally mutually independent and ...

    • Nonlinear Topics in the Bayesian Approach to Inverse Problems with Applications to Seismic Inversion 

      Kolbjørnsen, Odd (Dr. ingeniøravhandling, 0809-103X; 2002:55, Doctoral thesis, 2002)
      Paper I considers piecewise affine inverse problems. This is a large group of nonlinear inverse problems. Problems that obey certain variational structures are of this type. In inverse problems it is frequently such that ...

    • Numerical Solution og Coupled CFD Problems by the Domain Decomposition Method 

      Holdahl, Runar (Doktoravhandlinger ved NTNU, 1503-8181; 2004:102, Doctoral thesis, 2004)
      In this thesis we look at the efficient numerical solution of two complex multi-physics problems which both have very important applications. The first problem is related to the numerical simulation of extrusion of aluminium. ...

    • On Eigen-decompositions and Adaptivity of Markov Chains 

      Erland, Sveinung (Dr. ingeniøravhandling, 0809-103X; 2003:102, Doctoral thesis, 2003)
      Part I and Part III-V concern Markov chain Monte Carlo and in particular those algorithms related to the Metropolis-Hastings algorithm. In Part I-II we apply an eigendecomposition of the transition probability matrix. The ...

    • On the theory and numerical analysis of viscosity solutions 

      Jakobsen, Espen Robstad (Dr. ingeniøravhandling, 0809-103X; 2001:95, Doctoral thesis, 2001)

    • Stochastic Modelling and Simulation Based Inference of Fish Population Dynamics and Spatial Variation in Disease Risk 

      Follestad, Turid (Dr. ingeniøravhandling, 0809-103X; 2003:22, Doctoral thesis, 2003)
      We present a non-Gaussian and non-linear state-space model for the population dynamics of cod along the Norwegian Skagerak coast, embedded in the framework of a Bayesian hierarchical model. The model takes into account ...

    • Tilting and Relative Theories in Subcategories 

      Mohammed, Soud (Doktoravhandlinger ved NTNU, 1503-8181; 2008:39, Doctoral thesis, 2008)
      We show that, over an artin algebra, the tilting functor preserves (co)tilting modules in the subcategories associated to the functor. We also give a sufficient condition for the category of modules of finite projective ...