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Contextual learning of mathematics for engineers
(Journal article; Peer reviewed, 2023) -
Continuation and Bifurcation software in MATLAB
(Master thesis, 2008)This article contains discussions of the algorithms used for the construction of the continuation software implemented in this thesis. The aim of the continuation was to be able to perform continuation of equilibria and ... -
Continuity of Formal Power Series Products in Nonlinear Control Theory
(Peer reviewed; Journal article, 2022)Formal power series products appear in nonlinear control theory when systems modeled by Chen–Fliess series are interconnected to form new systems. In fields like adaptive control and learning systems, the coefficients of ... -
A continuous interpolation between conservative and dissipative solutions
(Peer reviewed; Journal article, 2015)We introduce a novel solution concept, denoted -dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system ... -
A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system
(Peer reviewed; Journal article, 2015)We introduce a novel solution concept, denotedα-dissipative solutions, that provides a continuousinterpolation between conservative and dissipative solutions of the Cauchy problem for the two-component Camassa–Holm system ... -
Continuum limit of Follow-the-Leader models – a short proof
(Journal article, 2018)We offer a simple and self-contained proof that the Follow-the-Leader model converges to the Lighthill-Whitham-Richards model for traffic flow. -
A contractive Hardy–Littlewood inequality
(Journal article; Peer reviewed, 2021) -
Contractive inequalities between Dirichlet and Hardy spaces
(Peer reviewed; Journal article, 2023)We prove a conjecture of Brevig, Ortega-Cerdà, Seip and Zhao about contractive inequalities between Dirichlet and Hardy spaces and discuss its consequent connection with the Riesz projection. -
Contractive inequalities for Bergman spaces and multiplicative Hankel forms
(Journal article; Peer reviewed, 2019)We consider sharp inequalities for Bergman spaces of the unit disc, establishing analogues of the inequality in Carleman's proof of the isoperimetric inequality and of Weissler's inequality for dilations. By contractivity ... -
Contractive inequalities for Hardy spaces
(Journal article; Peer reviewed, 2018)We state and discuss several interrelated results, conjectures, and questions regarding contractive inequalities for classical Hp spaces of the unit disc. We study both coefficient estimates in terms of weighted ℓ 2 sums ... -
Contractive projections in Paley-Wiener spaces
(Journal article; Peer reviewed, 2023)Let S1 and S2 be disjoint finite unions of parallelepipeds. We describe necessary and sufficient conditions on the sets S1,S2 and exponents p such that the canonical projection P from PWp S1∪S2 to PWp S1 is a contraction. -
Contramodules
(Bachelor thesis, 2024)I denne oppgaven konstruerer vi kontramoduler, både på klassisk vis og i arbitrære lukkede symmetrisk monoidale kategorier. Vi konstruerer deretter kategoriene av komoduler og kontramoduler via kategorier av komoduler/moduler ... -
Contrasting broadly adopted model-based portfolio risk measures with current market conditions
(Master thesis, 2009)The last two years have seen the most volatile financial markets for decades with steep losses in asset values and a deteriorating world economy. The insolvency of several banks and their negative impact on the economy has ... -
Contrasting patterns of density-dependent selection at different life stages can create more than one fast–slow axis of life-history variation
(Journal article; Peer reviewed, 2020)There has been much recent research interest in the existence of a major axis of life‐history variation along a fast–slow continuum within almost all major taxonomic groups. Eco‐evolutionary models of density‐dependent ... -
Contrasting physiological responses to habitat degradation in two arboreal mammals
(Peer reviewed; Journal article, 2021)To cope with the challenges presented by habitat degradation and loss, animals must often respond by adjusting physiological and behavioral mechanisms. Here we quantified physiological and behavioral traits, including body ... -
Contributions to the Theory of Goodness-of-Fit Testing and Change Point Detection
(Doctoral theses at NTNU;2021:20, Doctoral thesis, 2021) -
Controlling FWER
(Bachelor thesis, 2023)Bonferroni, Holm (1979), Hochberg (1988) og Hommel's (1988) metoder for multippel hypotese testing vises å ha sterk kontroll av FWER ved å kombinere Bonferroni og Simes' (1986) globale tester med Marcus et al. (1976) lukket ... -
Convergence and convergence rates of numerical methods for conservation laws
(Doctoral theses at NTNU;2019:11, Doctoral thesis, 2019) -
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation
(Journal article, 2015)We prove convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation. Both the decaying case on the full line and the periodic case are considered. If the initial data u|t=0 = u0 is of high ... -
Convergence of Lie group integrators
(Journal article; Peer reviewed, 2019)We relate two notions of local error for integration schemes on Riemannian homogeneous spaces, and show how to derive global error estimates from such local bounds. In doing so, we prove for the first time that the Lie–Butcher ...