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Nonlinear integro-differential Equations: Numerical Solutions by using Spectral Methods
(Master thesis, 2013)This article deals with numerical solutions of nonlinear integro-differential convection-diffusion equations using spectral methods. More specifically, the spectral vanishing viscosity method is introduced and analyzed to ... -
Nonlinear phase unwinding
(Master thesis, 2018)We start of by studying Hardy spaces and Blaschke products. Then we look at a natural nonlinear analogue of Fourier series called the unwinding series. It is obtained through iterative Blaschke factorization and unwinds ... -
Nonlinear Two-Point Flux Approximation Schemes for Reservoir Simulation
(Master thesis, 2018)The main objective of this thesis has been to investigate some methods for simulating CO2 storage and hydrocarbon recovery on complex polyhedral grids, with main focus on the nonlinear two-point flux approximation method. ... -
Nonlocal and monotone techniques in dispersive equations and inverse problems
(Doctoral theses at NTNU;2022:151, Doctoral thesis, 2022) -
Nonlocal Dispersive Models for Water Waves Existence, Symmetry and Related A Priori Properties
(Doctoral theses at NTNU;2017:6, Doctoral thesis, 2016) -
Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities
(Peer reviewed; Journal article, 2023)We establish boundedness estimates for solutions of generalized porous medium equations of the form where and is a linear, symmetric, and nonnegative operator. The wide class of operators we consider includes, but is not ... -
Nonparametric estimation in trend-renewal processes
(Master thesis, 2017)This thesis gives an introduction to stochastic modeling of repairable systems with failure and maintenance data, in particular the nonhomogeneous Poisson process and the trend-renewal process. It is studying kernel-based ... -
Normalizing flows and deep Q-networks for shape analysis
(Master thesis, 2022)Denne oppgaven tar for seg to forskjellige tilnærminger for å analysere kurver. I den første tilnærmingen anvender vi dype q-nettverk for å finne en optimal reparametrisering mellom to kurver. Denne reparametriseringen er ... -
Norms and Eigenvalues of Time-Frequency Localization Operators
(Master thesis, 2018)In this report we study and compare two types of time-frequency localization operators, the first is based on composition of projections in time and frequency, and the second is Daubechies' localization operator. We provide ... -
Norms of composition operators on the $H^2$ space of Dirichlet series
(Journal article; Peer reviewed, 2020), generated by Dirichlet series symbols φ. We prove two different subordination principles for such operators. One concerns affine symbols only, and is based on an arithmetical condition on the coefficients of φ. The other ... -
A note on Bohr’s theorem for Beurling integer systems
(Journal article; Peer reviewed, 2023)Given a sequence of frequencies , a corresponding generalized Dirichlet series is of the form . We are interested in multiplicatively generated systems, where each number arises as a finite product of some given ... -
A note on the mean values of the derivatives of ζ/ζ
(Peer reviewed; Journal article, 2022)Assuming the Riemann hypothesis, we obtain a formula for the mean value of the -derivative of , depending on the pair correlation of zeros of the Riemann zeta-function. This formula allows us to obtain new equivalences ... -
Note on the resonance method for the Riemann zeta function
(Journal article; Peer reviewed, 2018)We improve Montgomery’s Ω-results for |ζ(σ + it)| in the strip 1/2 σ 1 and give in particular lower bounds for the maximum of |ζ(σ+it)| on √ T ≤ t ≤ T that are uniform in σ. We give similar lower bounds for the maximum of ... -
A note on the zeros of approximations of the Ramanujan Ξ−function
(Peer reviewed; Journal article, 2020)In this paper we review the study of the distribution of the zeros of certain approximations for the Ramanujan Ξ-function given by Ki (Ramanujan J 17(1):123–143, 2008), and we provide new proofs of his results. Our approach ... -
Notes on the Short Ck’s
(Journal article, 2022) -
The Notion of Presence in a Telematic Cross-Disciplinary Program for Music,Communication and Technology
(Chapter, 2020)This anthology presents research projects that examine the intersection between music, technology and education from a variety of perspectives. The contributors are from a range of educational programs within traditional ... -
A novel approach to rigid spheroid models in viscous flows using operator splitting methods
(Peer reviewed; Journal article, 2019)Calculating cost-effective solutions to particle dynamics in viscous flows is an important problem in many areas of industry and nature. We implement a second-order symmetric splitting method on the governing equations for ... -
A novel fault detection and diagnosis approach based on orthogonal autoencoders
(Peer reviewed; Journal article, 2022)In recent years, there have been studies focusing on the use of different types of autoencoders (AEs) for monitoring complex nonlinear data coming from industrial and chemical processes. However, in many cases the focus ... -
Novel statistical variance and dependency models in quantitative genetics: Enabled by recent inference methods
(Doctoral theses at NTNU;2020:217, Doctoral thesis, 2020) -
Number Field Sieve
(Master thesis, 2013)The Number Field Sieve (NFS) is the fastest known general method for factoring integers having more than 120 digits. In this thesis we will will study the algebraic number theory that lies behind the algorithm, describe ...