Browsing Institutt for matematiske fag by Title
Now showing items 1567-1586 of 2364
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Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations
(Peer reviewed; Journal article, 2020)In this work, we consider the following generalized derivative nonlinear Schr\"odinger equation \begin{align*} i\partial_t u+\partial_{xx} u +i |u|^{2\sigma}\partial_x u=0, \quad (t,x)\in \R\times \R. \end{align*} We prove ... -
Optimal-order isogeometric analysis and isogeometric collocation at Galerkin superconvergent points
(Master thesis, 2016)Isogeometric analysis with full quadrature yields optimal convergence rates but require higher computational cost than necessary for splines of maximal continuity. In this thesis two such methods, the weak variational ... -
Optimality for the two-parameter quadratic sieve
(Peer reviewed; Journal article, 2022)We study the two-parameter quadratic sieve for an arbitrary smoothing function. We prove, under some very general assumptions, that the function considered by Barban and Vekhov (1968) and Graham (1978) for this problem is ... -
Optimization Analysis of Risk/Return of Large Equity Portfolios, Applying Option Strategies
(Master thesis, 2008)This is a study of the risk/return characteristics of large equity portfolios, consisting of different option contracts. In times when there is nervousness present in the financial market, and the future prospects of the ... -
Optimizing Predictive Performance of Random Forests by means of Design of Experiments and Resampling, with a Case-study in Credit Scoring
(Master thesis, 2020)Kredittinstitusjoner bruker kredittscoringsmodeller til å avgjøre hvilke kredittkortsøknader som skal innvilges. Prestasjonen til statistiske- eller maskinlæringsmodeller brukt i kredittscoring avhenger av verdiene til ... -
Order conditions for stochastic Runge–Kutta methods preserving quadratic invariants of Stratonovich SDEs
(Journal article; Peer reviewed, 2017)In this paper we prove that for a stochastic Runge–Kutta method, the conditions for preserving quadratic invariants work as simplifying assumptions. For such methods, the method coefficients only have to satisfy one condition ... -
Ordered invariant ideals of Fourier-Stieltjes algebras
(Journal article; Peer reviewed, 2018)For a locally compact group G, every G-invariant subspace E of the Fourier-Stieltjes algebra B(G) gives rise to the following two ideals of the group C ∗ -algebra C ∗ (G): the intersection of the kernels of the representations ... -
Orthogonal decomposition of composition operators on the $H^2$ space of Dirichlet series
(Peer reviewed; Journal article, 2022)Let denote the Hilbert space of Dirichlet series with square-summable coefficients. We study composition operators on which are generated by symbols of the form , in the case that . If only a subset of prime numbers ... -
Overestimation of volatility in schizophrenia and autism? A comparative study using a probabilistic reasoning task
(Peer reviewed; Journal article, 2021)Background and objectives A plethora of studies has investigated and compared social cognition in autism and schizophrenia ever since both conditions were first described in conjunction more than a century ago. Recent ... -
Overføring av læring fra matematikk til fysikk ved forkurs for ingeniørutdanning
(Peer reviewed; Journal article, 2023)Å ta i bruk matematiske kunnskaper er viktig i mange sammenhenger i fysikk. Samtidig viser det seg at overføring av læring fra matematikk til fysikk er utfordrende for studenter. Dette gjør at studenter ikke klarer å løse ... -
Overganger mellom matematiske representasjoner: En studie om hvordan 1T-elever gjennomfører overgangen fra situasjon til grafiske og algebraiske representasjoner av polynomer.
(Master thesis, 2014)Denne studien bygger på et sosiokulturelt læringssyn. Fokuset for studien har ligget på hvordan 1T-elever gjennomfører overgangen fra situasjon, som er beskrevet ved naturlig språk, til algebraiske og grafiske representasjoner ... -
Overgangsprosessen mellom representasjoner for funksjoner - En studie vedrørende feil i overgangsprosessen mellom representasjonene graf, funksjonsuttrykk og tabell
(Master thesis, 2018)Formålet med denne masteroppgaven er å avdekke hvilke overgangsfeil elever muligens begår i overgangsprosessen mellom representasjonene graf, funksjonsuttrykk og tabell. Videre undersøkes hva som skjer i overgangsprosessen ... -
PAH og PCB i byjord fra Dublin: Kilder og forurensningsstatus
(Master thesis, 2010)I denne oppgaven ble det samlet inn 196 prøver av byjord fra Dublin. Spredningen av prøvenes lokaliteter ble lagt slik at den skulle gi et bilde av hele Dublin og dens forsteder, med et hovedfokus på sentrum. Prøvene ble ... -
Pair Correlation estimates for the zeros of the zeta function via semidefinite programming
(Peer reviewed; Journal article, 2020)In this paper we study the distribution of the non-trivial zeros of the Riemann zeta-function ζ(s) (and other L-functions) using Montgomery's pair correlation approach. We use semidefinite programming to improve upon ... -
Paper-based electronic voting
(Master thesis, 2015)In this thesis, we present two paper-based electronic voting systems Prêt-à-Voter and Demos. We describe these in the same systematic way with new examples. Furthermore, we implement RSA cryptosystem in Prêt-à-Voter. Then, ... -
Paper-based electronic voting
(Master thesis, 2015)In this thesis, we present two paper-based electronic voting systems Prêt-à-Voter and Demos. We describe these in the same systematic way with new examples. Furthermore, we implement RSA cryptosystem in Prêt-à-Voter. Then, ... -
Parallel Multiple Proposal MCMC Algorithms
(Master thesis, 2007)We explore the variance reduction achievable through parallel implementation of multi-proposal MCMC algorithms and use of control variates. Implemented sequentially multi-proposal MCMC algorithms are of limited value, but ... -
Parallel Solutions of Stochastic Differential Equations
(Master thesis, 2015)The main purpose of this work was to develop a more time efficient solution to the Lotka- Volterra model. To compare runtimes, in addition to the serial version, the algorithm was implemented using the Message Passing ... -
Parallelization of some scientific codes using profiling tools and OpenMP
(Research report, 2009)The purpose of this report is to exchange our experience with parallelizing existing scientific codes by utilizing profiling tools and the OpenMP application programming interface (API) for multi-platform shared-memory ... -
Parameter estimation in a Markov mesh model by reversible jump MCMC simulation
(Master thesis, 2012)We have a model for simulating facies values in a rock. We can use the model to find facies structures in a 2-dimensional area, which we can use to find properties of a rock in a petroleum reservoir. The model is a Markov ...