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Traveling Waves for a Fractional Korteweg–De Vries and a Fractional Degasperis–Procesi Equation with an Inhomogeneous Symbol
(Master thesis, 2021)Vi studerer to familier av ligninger: En fraksjonell Korteweg--De Vries-ligning (fKdV) gitt ved u_t + uu_x + (\Lambda^{-s} u)_x = 0 og en fraksjonell Degasperis--Procesi-ligning (fDP) gitt ved u_t + uu_x + 3/2 (\Lambda^{-s} ... -
Traveling waves for the nonlinear variational wave equation
(Peer reviewed; Journal article, 2021)We study traveling wave solutions of the nonlinear variational wave equation. In particular, we show how to obtain global, bounded, weak traveling wave solutions from local, classical ones. The resulting waves consist of ... -
Travelling and global-in-time solutions of water wave equations with mild and nonlocal dispersion
(Doctoral theses at NTNU;2021:308, Doctoral thesis, 2021) -
Tre casestudier om modellering av spredning av HIV og AIDS.
(Master thesis, 2010)Oppgaven går ut på undersøke den matematiske modelleringen bak tre modelleringsartikler om spredning av HIV og AIDS i populasjoner. Analysen av de tre artiklene baserer seg på metoder fra faget matematisk modellering ved ... -
Tree Boosting With XGBoost - Why Does XGBoost Win "Every" Machine Learning Competition?
(Master thesis, 2016)Tree boosting has empirically proven to be a highly effective approach to predictive modeling. It has shown remarkable results for a vast array of problems. For many years, MART has been the tree boosting method of ... -
Tree Modules for Quiver Representations
(Bachelor thesis, 2022)Gitt et kogger $\Gamma$ over $k$ av Dynkin $D_n$ type, vil antallet måter å uttrykke tremoduler med 0-1-matriser - eller koeffisientkogger (CQer) - studeres. Etter en introduksjon av teorien, vet vi at gitt et kogger av ... -
Triangulated categories and localization
(Master thesis, 2012)We study Gabriel-Zisman localization, localization by a multiplicative system and by a null system. We define the triangulated category and the derived category. Finally we describe a scheme for localization from a ... -
Triangulated Categories and Matrix Factorizations
(Master thesis, 2016)In this thesis we study triangulated categories and look at one specific example, the homotopy category of matrix factorizations. First we define categories and functors. Then we introduce additive and triangulated categories ... -
Triangulated Derivators
(Master thesis, 2022)I denne oppgaven definerer vi Kan-utvidelser og introduserer den punktvise konstruksjonen som lar oss definere derivatorer i en passende kontekst. Ved å utvikle teorien om punktede og stabile derivatorer, beviser vi at ... -
Triangulated Derivators and their Calabi-Yau Dimension
(Master thesis, 2021)Vi introduserer teorien bak derivatorer fra perspektivet til homologisk algebra. Først med motivasjon fra deriverte kategorier og kanutvidelser, deretter en nøye gjennomgang av teorien. Vi utvider flere resultater fra ... -
Trimodal Steady Water Waves
(Journal article, 2014)We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves on finite depth. The solutions contain counter-currents and multiple crests in each minimal period. Each such wave ... -
Tropical time series, iterated-sums signatures and quasisymmetric functions
(Journal article; Peer reviewed, 2022) -
Turbulence characterisation in complex fjord topography using measurement and numerical modelling for bridge design
(Doctoral theses at NTNU;2022:88, Doctoral thesis, 2022)On Norway’s west coast, the Norwegian Public Road Administration initiated a major infrastructure development project that includes the design and construction of bridges to replace ferries. The width of the fjords, flow ... -
Twenty-three unsolved problems in hydrology (UPH) – a community perspective
(Journal article; Peer reviewed, 2019)This paper is the outcome of a community initiative to identify major unsolved scientific problems in hydrology motivated by a need for stronger harmonisation of research efforts. The procedure involved a public consultation ... -
TWG1: Transitions to, across and from University Mathematics
(Journal article; Peer reviewed, 2023) -
Twisted Convolution Algebras and Applications to Gabor Analysis
(Doctoral theses at NTNU;2021:155, Doctoral thesis, 2021)This thesis concerns several aspects of twisted convolution algebras, with a particular focus on problems arising in Gabor analysis. A significant portion of the thesis is dedicated to the study of Hilbert C -modules known ... -
Two classes of quadratic vector fields for which the Kahan discretization is integrable
(Journal article, 2016) -
Two results in Harmonic analysis and PDEs
(Doktoravhandlinger ved NTNU, 1503-8181; 2014:170, Doctoral thesis, 2014) -
Two types of Rubio de Francia operators on Triebel-Lizorkin and Besov spaces
(Peer reviewed; Journal article, 2018)We discuss generalizations of Rubio de Francia’s inequality for Triebel–Lizorkin and Besov spaces, continuing the research from Osipov (Sb Math 205(7): 1004–1023, 2014) and answering Havin’s question to one of the authors. ... -
Two Weight Discrete Hilbert Transforms and Systems of Reproducing Kernels
(Doktoravhandlinger ved NTNU, 1503-8181; 2011:124, Doctoral thesis, 2011)The Hilbert transform has become increasingly popular over the years due to its wide ranging applications not only in mathematics, but also in many other applied areas. In a quest for more applications, studying various ...