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Now showing items 1-53 of 53
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2023)
Battery systems are increasingly being used for powering ocean going ships, and the number of fully electric or hybrid ships relying on battery power for propulsion and maneuvering is growing. In order to ensure the safety ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2023)
I give a survey of Sergio Albeverio’s work in nonstandard analysis, covering applications to operator theory, stochastic analysis, Dirichlet forms, quantum mechanics, and quantum field theory, and making an attempt at ...
(Chapter / Bokkapittel / SubmittedVersion, 2023)
In the first part of this paper I give the historical background to my initial interest in stochastic analysis and to the writing of my book Stochastic Differential Equations. The first edition of this book was published ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2022)
This paper presents an extreme value analysis on data of significant wave height based on time-series simulation. A method to simulate time series with given marginal distribution and preserving the autocorrelation structure ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2022)
The paper traces the development of the use of martingale methods in survival analysis from the mid 1970s to the early 1990s. This development was initiated by Aalen’s Berkeley Ph.D.-thesis in 1975, progressed in the late ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2022)
Advection driven problems are known to be difficult to model with a reduced basis because of a slow decay of the Kolmogorov N -width. This paper investigates how this challenge transfers to the context of solidification ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2022)
We propose a novel semi-supervised learning method to monitor the State of Health of lithium-ion batteries, a prominent technology for the electrification of the transport sector. Our approach enables State of Health ...
A modified dividing local Gaussian processes algorithm for theoretical particle physics applications
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2022)
We explore the use of dividing local Gaussian processes in the context of theoretical particle physics. We adapt an existing algorithm to the specific problem, trading some speed for a better precision. An intensive ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2022)
In this note we introduce higher order polar loci as natural generalizations of the classical polar loci, replacing the role of tangent spaces by that of higher order osculating spaces. The close connection between polar ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2022)
Battery systems are increasingly being used for powering ocean going ships, and the number of fully electric or hybrid ships relying on battery power for propulsion and manoeuvring is growing. In order to ensure the safety ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2022)
This paper aims to propose an efficient machine learning framework for maritime big data and use it to train a random forest model to estimate ships’ propulsion power based on ship operation data. The comprehensive data ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2022)
The threshold theorem is a fundamental result in the theory of fault-tolerant quantum computation stating that arbitrarily long quantum computations can be performed with a polylogarithmic overhead provided the noise level ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2022)
The Norwegian school system consists of a seven-year primary school (grades 1–7, ages 6–13), followed by lower secondary school (grades 8–10, ages 13–16) and upper secondary school (grades 11–13, ages 16–19). While in ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2022)
We study a first-order theory of finite full binary trees with an axiom schema of open induction. We show that this theory is sequential by constructing a direct interpretation of Adjunctive Set Theory in a very weak ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2022)
We introduce a first-order theory of finite full binary trees and show that the analogue of Hilbert’s Tenth Problem is undecidable by constructing a many-to-one reduction of Post’s Correspondence Problem.
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2021)
We present skweak, a versatile, Python-based software toolkit enabling NLP developers to apply weak supervision to a wide range of NLP tasks. Weak supervision is an emerging machine learning paradigm based on a simple idea: ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2021)
Within the field of reliability multistate systems represent a natural extension of the classical binary approach. For an extensive introduction to this topic, see Natvig (2011b). Repairable multistate systems quickly ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2021)
This paper presents the results of statistical analyses on the difference between measured and calculated fatigue rates for an ocean-going container vessel. Data from a hull monitoring system installed on-board this ship ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2021)
We survey some topics in A1-homotopy theory. Our main goal is to highlight the interplay between A1-homotopy theory and affine algebraic geometry, focusing on the varieties that are “contractible” from various standpoints.
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2021)
Battery systems are becoming an increasingly attractive alternative for powering ocean going ships, and the number of fully electric or hybrid ships relying on battery power for propulsion and maneuvering is growing. In ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2021)
Several different approaches to modelling stochastic deterioration for optimising maintenance have been suggested in the reliability literature. These include component lifetime distributions, which have the disadvantage ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2020)
Motivic homotopy theory was developed by Morel and Voevodsky in the 1990s. The original motivation for the theory was to import homotopical techniques into algebraic geometry. This chapter introduces the motivic Adams ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2019)
Tchebycheffian splines are smooth piecewise functions where the different pieces are drawn from extended Tchebycheff spaces. They are a natural generalization of polynomial splines and can be represented in terms of an ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2019)
Environmental contours are widely used as a basis for e.g., ship design, especially in early design phases. The traditional approach to such contours is based on the well-known Rosenblatt transformation. In the present ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2019)
Seismic exploration in complex geological settings and shallow geological targets has led to a demand for higher spatial and temporal resolution in the final migrated image. Seismic data from conventional marine acquisition ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2019)
We study perfusion by a multiscale model coupling diffusion in the tissue and diffusion along the one-dimensional segments representing the vasculature. We propose a block-diagonal preconditioner for the model equations ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2018)
Modulational instability is an efficient mechanism for the generation of rogue waves in the limit of narrow-banded and long-crested wave fields. While such wave fields are easily achieved in laboratories, there appears to ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2018)
The main idea of this paper is to use the notion of buffered failure probability from probabilistic structural design, first introduced by Rockafellar & Royset (2010), to introduce buffered environmental contours. Classical ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2018)
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2018)
Slippery runways represent a significant risk to aircrafts especially during the winter season. In order to apply the appropriate braking action, the pilots need reliable information about the runway conditions. Unfortunately ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2018)
Sensor data can be used to detect changes in the performance of a system in near real-time which may be indicative of a system fault. However, there is a need for efficient and robust algorithms to detect such changes in ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2018)
Most of today’s Machine Learning (ML) methods and implementations are based on correlations, in the sense of a statistical relationship between a set of inputs and the output(s) under inves- tigation. The relationship might ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2018)
This chapter presents an overview of polynomial spline theory, with special emphasis on the B-spline representation, spline approximation properties, and hierarchical spline refinement. We start with the definition of ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2018)
We investigate the relative computational strength of combinations of four higher order functionals, the jump and hyperjump seen as functionals of type 2 and realisers for the compactness of Cantor space and the Lindelöf ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2018)
We identify a number of decidable and undecidable fragments of first-order concatenation theory. We also give a purely universal axiomatization which is complete for the fragments we identify. Furthermore, we prove some ...
(Chapter / Bokkapittel / SubmittedVersion, 2017)
With the shenfun Python module (github.com/spectralDNS/shenfun) an effort is made towards automating the implementation of the spectral Galerkin method for simple tensor product domains, consisting of (currently) one ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2017)
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2017)
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2017)
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2017)
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2017)
(Chapter / Bokkapittel / SubmittedVersion, 2017)
Electricity infrastructure has become a critical element of modern industrial society. In order to model and analyse this infrastructure, identify weaknesses, and optimize performance, one needs to take into account its ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2017)
Environmental contours are widely used as a basis for e.g., ship design. The traditional approach to environmental contours is based on the well-known Rosenblatt transformation. However, due to the effects of this ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2017)
For a commodity spot price dynamics given by an Ornstein–Uhlenbeck process with Barndorff-Nielsen–Shephard stochastic volatility, we price forward contracts using a new class of pricing measures, extending the classical ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2017)
We investigate the convergence rates of numerical schemes for degenerate convection diffusion equations. Recent results bound these rates as 1∕3 in one space dimension and 2∕(19 + d) in several space dimension. In our ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2016)
We introduce Bichromatic Synthetic Schlieren (BiCSS) for instantaneous surface measurements, in where we use two simultaneous images taken at blue and near infrared wavelengths, making use of that refractive index variation ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2016)
The aim of this study is to measure velocity fields and accurate surface elevation in solitary waves utilizing a fast Xray PTV system. It is difficult to measure the free surface of water waves with the optical measurement ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2015)
We present an overview of the continuous and discontinuous Galerkin finite element methods (CG-FEM, DG-FEM) for numerical solution of the transport equation and show how the Navier-Stokes equations can be solved with CG-FEM ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2015)
We present a new approach to the optimal portfolio problem for an insider with logarithmic utility. Our method is based on white noise theory, stochastic forward integrals, Hida-Malliavin calculus and the Donsker delta function.
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2014)
In this paper we derive power futures prices from a two-factor spot model being a generalization of the classical Schwartz–Smith commodity dynamics. We include non-Gaussian effects by introducing Lévy processes as the ...
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2014)
Published by Palgrave Macmillan. Reproduced with permission of Palgrave Macmillan. This extract is taken from the author's original manuscript and has not been edited. The definitive, published, version of record is available ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2013)
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2013)
Numerical simulations using non-linear finite element analysis have been perform to study ship grounding. The results are compared with experimental tests which was performed in USA in 1995 and good agreement is achieved. ...