Browsing Institutt for matematiske fag by Title
Now showing items 1451-1470 of 2364
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On a shallow water wave equation
(Doktoravhandlinger ved NTNU, 1503-8181; 2006:103, Doctoral thesis, 2006)The main topic of this thesis is the study of a nonlinear partial differential equation, the Camassa-Holm (CH) equation: ut - utxx + 3uux - 2uxuxx -uuxxx = 0. -
On a Traffic Flow Model
(Doktoravhandlinger ved NTNU, 1503-8181; 2008:256, Doctoral thesis, 2008) -
On Accumulated Cohen's Class Distributions and Mixed-State Localization Operators
(Journal article; Peer reviewed, 2019)Recently we introduced mixed-state localization operators associated with a density operator and a (compact) domain in phase space. We continue the investigations of their eigenvalues and eigenvectors. Our main focus is ... -
On angular measures in axiomatic Euclidean planar geometry
(Peer reviewed; Journal article, 2022)We address the issue of angular measure, which is a contested issue for the International System of Units (SI).We provide a mathematically rigorous and axiomatic presentation of angular measure that leads to the traditional ... -
On approximations of the forward-backward algorithm for a switching linear Gaussian model.
(Master thesis, 2009)In this report, the forward-backward algorithm is derived and explained for a one-layer and a two-layer Hidden Markov model. We describe the structure of the hidden Markov models, before we enter the world of the ... -
On cluster-tilting modules for some symmetric algebras
(Master thesis, 2020)Klassifisering av kluster-vipping-modular til nokre symmetriske algebraar -
On complex dynamics in a Purkinje and a ventricular cardiac cell model
(Journal article; Peer reviewed, 2021)Cardiac muscle cells can exhibit complex patterns including irregular behaviour such as chaos or (chaotic) early afterdepolarisations (EADs), which can lead to sudden cardiac death. Suitable mathematical models and their ... -
On conjectures of Hovey–Strickland and Chai
(Peer reviewed; Journal article, 2022)We prove the height two case of a conjecture of Hovey and Strickland that provides a K(n)-local analogue of the Hopkins–Smith thick subcategory theorem. Our approach first reduces the general conjecture to a problem in ... -
On Degenerate Parabolic Problems with Local and Nonlocal Diffusion
(Doctoral theses at NTNU;2017:229, Doctoral thesis, 2017) -
On Differential Cohomology and Geometric Hodge-filtered K-theory
(Master thesis, 2023)Oppgaven har to hovedmål. Først presenterer vi en oppsumering av fagfeltet differensiell kohomologi, med hovedfokus på eksisterende tilnærminger og viktige resultater. Vi starter med differensialkarakterene til Cheeger ... -
On dispersion of directional surface gravity waves
(Journal article; Peer reviewed, 2017)Using a nonlinear evolution equation we examine the dependence of the dispersion of directional surface gravity waves on the Benjamin–Feir index (BFI) and crest length. A parameter for describing the deviation between the ... -
On distributional solutions of local and nonlocal problems of porous medium type
(Journal article; Peer reviewed, 2017)We present a theory of well-posedness and a priori estimates for bounded distributional (or very weak) solutions of ∂tu − L σ,µ[ϕ(u)] = g(x, t) in R N (0.1) × (0, T ), where ϕ is merely continuous and nondecreasing and L ... -
On distributivity in higher algebra I: The universal property of bispans
(Peer reviewed; Journal article, 2023)Structures where we have both a contravariant (pullback) and a covariant (pushforward) functoriality that satisfy base change can be encoded by functors out of (∞-)categories of spans (or correspondences). In this paper, ... -
On Eigen-decompositions and Adaptivity of Markov Chains
(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 Eigenvectors and Eigenvalues: An Examination of University Students’ Concept Images of Eigenvectors and Eigenvalues, and their Modes of Thinking
(Master thesis, 2023)Som et av de første emnene studenter møter på universitetsnivå, introduserer linear algebra studentene for en verden av begreper, objekter og representasjoner. Imidlertid kan disse abstrakte begrepene og deres representasjoner ... -
On estimation and identifiability issues of sex-linked inheritance with a case study of pigmentation in Swiss barn owl (Tyto alba)
(Journal article; Peer reviewed, 2014)Genetic evaluation using animal models or pedigree-based models generally assume only autosomal inheritance. Bayesian animal models provide a flexible framework for genetic evaluation, and we show how the model readily can ... -
On formal DG-algebras
(Master thesis, 2021)En differensialgradert algebra (DG-algebra) kan ofte sees på som en samling av høyt detaljert topologisk informasjon. To slike tilfeller er algebraen av kokjeder, og kohomologiringen til et topologisk rom. Den sistnevnte ... -
On Fourier Series in Convex Domains
(Master thesis, 2007)We consider systems of complex exponential functions in spaces of square integrable functions. Some classical one-dimensional theory is reviewed, in particular, we emphasize the duality between the Riesz bases of complex ... -
On fractional and nonlocal parabolic Mean Field Games in the whole space
(Peer reviewed; Journal article, 2021)We study Mean Field Games (MFGs) driven by a large class of nonlocal, fractional and anomalous diffusions in the whole space. These non-Gaussian diffusions are pure jump Lévy processes with some σ-stable like behaviour. ... -
On Gabor g-frames an Fourier series of operators
(Peer reviewed; Journal article, 2021)We show that Hilbert–Schmidt operators can be used to define frame-like structures for L2(Rd) over lattices in R2d that include multi-window Gabor frames as a special case. These frame-like structures are called Gabor ...