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Geometric and Functional Analytic Aspects of Time-Frequency Analysis
(Doctoral theses at NTNU;2022:74, Doctoral thesis, 2022)Sammendrag på norsk Denne avhandlingen omhandler geometriske og funksjonalanalytiske aspekter ved tid-frekvensanalyse. Mer spesifikt drøfter avhandlingen de tre følgende delvis relaterte temaene: Dekomponeringsrom: I ... -
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals
(Peer reviewed; Journal article, 2019)Given a quadratic vector field on possessing a quadratic first integral depending on two of the independent variables, we give a constructive proof that Kahan's discretization method exactly preserves a nearby modified ... -
Geometric Hodge filtered complex cobordism
(Doctoral theses at NTNU;2022:238, Doctoral thesis, 2022)We define geometric Hodge filtered complex cobordism groups MUn(p)(X) for complex manifolds X. Refining the Pontryagin–Thom construction, we give a natural isomorphism MUn(p)(X) ƒ MUnD (p)(X), where MUnD(p)(X) are the Hodge ... -
Geometric Hodge filtered complex cobordism
(Peer reviewed; Journal article, 2023)We construct a geometric cycle model for a Hodge filtered extension of complex cobordism for every smooth manifold with a filtration on its de Rham complex with complex coefficients. Using a refinement of the Pontryagin–Thom ... -
Geometric integration of nonlinear wave equations
(Master thesis, 2007)We give an short introduction to the Camassa-Holm equation and its travelling wave solutions. Many well-known equations in mathematical physics describe geodesic flows on appropriate Lie groups. The choice of group and ... -
Geometric Integration of ODEs Using Multiple Quadratic Auxiliary Variables
(Journal article; Peer reviewed, 2022) -
Geometric pushforward in Hodge filtered complex cobordism and secondary invariants
(Journal article; Peer reviewed, 2024)We construct a functorial pushforward homomorphism in geometric Hodge filtered complex cobordism along proper holomorphic maps between arbitrary complex manifolds. This significantly improves previous results on such ... -
Geometric reduction and the three body problem
(Doktoravhandlinger ved NTNU, 1503-8181; 2012:211, Doctoral thesis, 2012)This dissertation investigates a particular reduction of the three body problem, using a combination of Riemannian geometry and geometric invariant theory of three body motions in Euclidean space. Our point of departure ... -
Geometric Shape Analysis in Computer Animation
(Doctoral thesis at NTNU;2015:242, Doctoral thesis, 2015) -
Geometry-Based Modeling of Wideband Industrial Indoor Radio Propagation Channels
(Chapter, 2015)In this paper, we present a geometrical scattering model for a typical class of industrial indoor environments. The proposed industrial reference model takes into account scattering components arising from metallic structures ... -
Geostatistical Analysis of DHS Data: Accounting for Random Displacement of Survey Locations
(Doctoral theses at NTNU;2023:184, Doctoral thesis, 2023) -
Geostatistical Modeling under Positional Uncertainty
(Master thesis, 2023)I denne oppgaven undersøker vi posisjonell usikkerhet i geostatistisk modellering. Et sentralt eksempel på posisjonell usikkerhet er bruken av geografisk maskering (geomaskering) ment til å beskytte personvern. Geomaskering ... -
A geostatistical spatially varying coefficient model for mean annual runoff that incorporates process-based simulations and short records
(Peer reviewed; Journal article, 2022)We present a Bayesian geostatistical model for mean annual runoff that incorporates simulations from a process-based hydrological model. The simulations are treated as a covariate and the regression coefficient is modeled ... -
Global Bifurcation of a Nonlocal Equation
(Master thesis, 2022)Vi studerer en dispersiv likning av typen fraksjonell Korteweg–de Vrie [38, 46] med en ikke-lokal ikkelineæritet som er en Coifman–Meyer operator [14], som når betraktet i stabile variabler antar formen -µϕ + Λ^s ϕ + ϕ Λ^r ... -
Global bifurcation of waves with multiple critical layers
(Journal article; Peer reviewed, 2020)Analytic global bifurcation theory is used to construct a large variety of families of steady periodic two-dimensional gravity water waves with real-analytic vorticity distributions, propagating in an incompressible fluid. ... -
Global Buckling Reliability Analysis of Slender Network Arch Bridges: An Application of Monte Carlo-Based Estimation by Optimized Fitting
(Chapter, 2017)Network arch bridges are extremely slender bridge structures with a very efficient 16 load-carrying structure. This configuration can carry loads that are several times greater 17 than traditional tied-arch bridges with ... -
Global dissipative solutions of the two-component Camassa-Holm system for initial data with nonvanishing asymptotics
(Journal article, 2014)We show the existence of a global weak dissipative solution of the Cauchy problem for the two-component Camassa–Holm (2CH) system on the line with nonvanishing and distinct spatial asymptotics. The influence from the second ... -
Global existence of dissipative solutions to the Camassa--Holm equation with transport noise
(Peer reviewed; Journal article, 2023)We consider a nonlinear stochastic partial differential equation (SPDE) that takes the form of the Camassa–Holm equation perturbed by a convective, position-dependent, noise term. We establish the first global-in-time ... -
Global Models for Time Series Forecasting With Applications to Zero-Shot Forecasting
(Master thesis, 2021)Globale tidsrekkemodeller er tilpasset til et sett med tidsrekker. Dette er i motsetning til lokale tidsrekkemodeller som er tilpasset individuelle tidsrekker. En global tilnærming kan motvirke overtilpasning siden vi ... -
Global Spore Sampling Project: A global, standardized dataset of airborne fungal DNA
(Journal article; Peer reviewed, 2024)Novel methods for sampling and characterizing biodiversity hold great promise for re-evaluating patterns of life across the planet. The sampling of airborne spores with a cyclone sampler, and the sequencing of their DNA, ...