Blar i Institutt for matematiske fag på tittel
Viser treff 1451-1470 av 2357
-
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 ... -
On Holden's seven guidelines for scientific computing and development of open-source community software
(Chapter, 2018)Two decades ago, Helge Holden proposed seven guidelines to improve the way new achievements and results in scientific computing were presented, evaluated, and compared in contemporary scientific literature. In this essay, ... -
On interactions between wind turbines and the marine boundary layer
(Chapter; Peer reviewed, 2017)Most mesoscale models are developed with grid resolution in the range of kilometers. Therefore, they may require spatial averaging to analyze flow behavior over the domain of interest. In doing so, certain important features ... -
On lax transformations, adjunctions, and monads in (∞,2)-categories
(Peer reviewed; Journal article, 2021)We use the basic expected properties of the Gray tensor product of (∞, 2)-categories to study (co)lax natural transformations. Using results of Riehl–Verity and Zaganidis we identify lax transformations between adjunctions ... -
On Local Refinement in Isogeometric Analysis: A comparative study on Classical Hierarchical, Truncated Hierarchical and LR B-splines
(Master thesis, 2014)Smooth spline functions such as B-splines and NURBS are already an established technology in the field of computer-aided design (CAD) and have in recent years been given a lot of attention from the computer-aided engineering ... -
On Mimetic Finite Difference Methods for Grids with Curved Faces
(Master thesis, 2012)In this thesis the mimetic finite difference method for grids with curved faces is presented, implemented and tested with an emphasis on applications in reservoir simulation. The thesis gives a brief introduction to reservoir ... -
On Montgomery's pair correlation conjecture: A tale of three integrals
(Peer reviewed; Journal article, 2022)We study three integrals related to the celebrated pair correlation conjecture of H. L. Montgomery. The first is the integral of Montgomery’s function F(α,T) in bounded intervals, the second is an integral introduced by ...