Blar i Institutt for matematiske fag på tittel
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Convergence of Many Particle Approximations of Lighthill-Whitham-Richards Models with Total Variation Blow-Up
(Master thesis, 2022)I denne prosjektrapporten studeres konvergens av Følg-Lederen (FL) modellen av første orden mot løsningen av Lighthill-Witham-Richards (LWR) modellen. Jeg studerer to generaliseringer av LWR modellen der løsningen har ... -
Convergence of series of dilated functions and spectral norms of GCD matrices
(Journal article; Peer reviewed, 2015) -
Convergence of stiff, nonlinear stochastic differential equations
(Master thesis, 2020)Dette arbeidet gir en oversikt over hvordan man kan analysere numeriske metoder for å approksimere stive, ikke-lineære stokastiske differensialligninger (SDEer). Slike systemer inntrer i flere problemer i praksis, hvilket ... -
Convergence Rates of a Fully Discrete Galerkin Scheme for the Benjamin–Ono Equation
(Chapter, 2018)We consider a recently proposed fully discrete Galerkin scheme for the Benjamin–Ono equation which has been found to be locally convergent in finite time for initial data in L 2 (R). By assuming that the initial data is ... -
Convergence Rates of the Front Tracking Method for Conservation Laws in the Wasserstein Distances
(Journal article; Peer reviewed, 2018)We prove that front tracking approximations to scalar conservation laws with convex fluxes converge at a rate of $\Delta x^2$ in the 1-Wasserstein distance $W_1$. Assuming positive initial data, we also show that the ... -
A Convergent Numerical Algorithm for α-Dissipative Solutions of the Hunter–Saxton Equation
(Peer reviewed; Journal article, 2024)A convergent numerical method for -dissipative solutions of the Hunter–Saxton equation is derived. The method is based on applying a tailor-made projection operator to the initial data, and then solving exactly using the ... -
A converse to the Schwarz lemma for planar harmonic maps
(Peer reviewed; Journal article, 2021)A sharp version of a recent inequality of Kovalev and Yang on the ratio of the (H1)∗ and H4 norms for certain polynomials is obtained. The inequality is applied to establish a sharp and tractable sufficient condition for ... -
Convexificators for nonconvex multiobjective optimization problems with uncertain data: robust optimality and duality
(Peer reviewed; Journal article, 2023)In this paper, we investigate robust optimality conditions and duality for a class of nonconvex multiobjective optimization problems with uncertain data in the worst case by the upper semi-regular convexificator. The Fermat ... -
Convexity Properties of Harmonic Functions on Parameterized Families of Hypersurfaces
(Journal article; Peer reviewed, 2019)It is known that the L2L2-norms of a harmonic function over spheres satisfy some convexity inequality strongly linked to the Almgren’s frequency function. We examine the L2L2-norms of harmonic functions over a wide class ... -
Convolutions for Berezin quantization and Berezin-Lieb inequalities
(Journal article; Peer reviewed, 2018)Concepts and results from quantum harmonic analysis, such as the convolution between functions and operators or between two operators, are identified as the appropriate setting for Berezin quantization and Berezin-Lieb ... -
Convolutions for Localization Operators
(Master thesis, 2017)The theory of quantum harmonic analysis on phase space introduced by Werner is presented and formulated precisely using the terminology of time-frequency analysis and abstract harmonic analysis. Convolutions of functions ... -
Convolutions for localization operators
(Journal article; Peer reviewed, 2018)Quantum harmonic analysis on phase space is shown to be linked with localization operators. The convolution between operators and the convolution between a function and an operator provide a conceptual framework for the ... -
Coordinate maps for Lie group integrators applied to mechanical systems
(Master thesis, 2022)Liegruppeintegratorer er numeriske metoder brukt til å løse differensiallikninger som utvikler seg på mangfoldigheter via Liegruppevirkninger. I denne masteroppgaven introduseres en type Liegruppeintegrator som kalles ... -
Copula
(Master thesis, 2020)Copulaen er et interessant verktøy i statistikken. Den er brukt i mange forskjellige områder fra finans til klimamodeller. En stor grunn til at copulaen er nyttig er hvordan man kan bruke copulaen til å splitte en bivariat ... -
Correcting for under-reporting of violence against women in Italy using INLA
(Master thesis, 2022)Verdens helseorganisasjon (WHO) anslår at 30% av alle kvinner på verdensbasis har vært usatt for partnervold eller seksuelle overgrep av noen som ikke er en samlivspartnerpartner. I Italia er dette tallet estimert til å ... -
Corrective Source Term Approach for Improving Physics Based Models
(Master thesis, 2022)Pålitelege prediksjonsmodelleringsteknikkar er kritisk for eit utal av oppgåver i industrien. Med ein stadig pågåande teknologisk revolusjon innen store datamengder, vert tradisjonelle metodar basert på fysiske beskrivingar ... -
Counterparty Credit Exposure in Interest Rate Derivatives - Investigating the Effect of Collateralization
(Master thesis, 2019)Denne rapporten omhandler bruken av en stokastisk rentemodell, basert på LIBOR market models (LMM), til å bestemme prisen til rentederivater, samt risikoen assosiert ved derivatene. Etter å ha etablert grunnleggende konsept ... -
Counting and Coloring with Symmetry: A presentation of Polya's Enumeration Theorem with Applications
(Master thesis, 2009)This master's thesis explores the area of combinatorics concerned with counting mathematical objects with regards to symmetry. Two main theorems in this field are Burnside's Lemma and P'{o}lya's Enumeration Theoremfootno ... -
Counting Points on Elliptic Curves
(Master thesis, 2010)In this paper we present the first efficient point counting algorithm due to Schoof, before giving a significant improvement due to Elkies. In the final section I give Satoh's algorithm which is even faster and has paved ...