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On Holden's seven guidelines for scientific computing and development of open-source community software
(Chapter, 2018)Two decades ago, Helge Holden proposed seven guidelines to improve the way new achievements and results in scientific computing were presented, evaluated, and compared in contemporary scientific literature. In this essay, ... -
On infinity-ground states in the plane
(Peer reviewed; Journal article, 2023) -
On interactions between wind turbines and the marine boundary layer
(Chapter; Peer reviewed, 2017)Most mesoscale models are developed with grid resolution in the range of kilometers. Therefore, they may require spatial averaging to analyze flow behavior over the domain of interest. In doing so, certain important features ... -
On lax transformations, adjunctions, and monads in (∞,2)-categories
(Peer reviewed; Journal article, 2021)We use the basic expected properties of the Gray tensor product of (∞, 2)-categories to study (co)lax natural transformations. Using results of Riehl–Verity and Zaganidis we identify lax transformations between adjunctions ... -
On Local Refinement in Isogeometric Analysis: A comparative study on Classical Hierarchical, Truncated Hierarchical and LR B-splines
(Master thesis, 2014)Smooth spline functions such as B-splines and NURBS are already an established technology in the field of computer-aided design (CAD) and have in recent years been given a lot of attention from the computer-aided engineering ... -
On Mimetic Finite Difference Methods for Grids with Curved Faces
(Master thesis, 2012)In this thesis the mimetic finite difference method for grids with curved faces is presented, implemented and tested with an emphasis on applications in reservoir simulation. The thesis gives a brief introduction to reservoir ... -
On Montgomery's pair correlation conjecture: A tale of three integrals
(Peer reviewed; Journal article, 2022)We study three integrals related to the celebrated pair correlation conjecture of H. L. Montgomery. The first is the integral of Montgomery’s function F(α,T) in bounded intervals, the second is an integral introduced by ... -
On Newton Diagrams of Plurisubharmonic Polynomials
(Journal article; Peer reviewed, 2018)Each extreme edge of the Newton diagram of a plurisubharmonic polynomial on C2 gives rise to a plurisubharmonic polynomial. It is tempting to believe that the union of the extreme edges or the convex hull of said union ... -
On non-commutative stochastic exponentials
(Journal article; Peer reviewed, 2019)Using non-commutative shuffle algebra, we outline how the Magnus expansion allows to define explicit stochastic exponentials for matrix-valued continuous semimartingales and Stratonovich integrals. -
On nonlinear fractional convection - diffusion equations
(Doktoravhandlinger ved NTNU, 1503-8181; 2011:282, Doctoral thesis, 2011) -
On nonlocal dispersive equations and water waves
(Doctoral theses at NTNU;2018:84, Doctoral thesis, 2018) -
On nonlocal quasilinear equations and their local limits
(Journal article, 2017)We introduce a new class of quasilinear nonlocal operators and study equations involving these operators. The operators are degenerate elliptic and may have arbitrary growth in the gradient. Included are new nonlocal ... -
On Numerical Approximations of Fractional and Nonlocal Mean Field Games
(Peer reviewed; Journal article, 2022)We construct numerical approximations for Mean Field Games with fractional or nonlocal diffusions. The schemes are based on semi-Lagrangian approximations of the underlying control problems/games along with dual approximations ... -
On numerical density approximations of solutions of SDEs with unbounded coefficients
(Journal article, 2017)We study a numerical method to compute probability density functions of solutions of stochastic differential equations. The method is sometimes called the numerical path integration method and has been shown to be fast and ... -
On Operator Splitting for the Viscous Burgers' and the Korteweg-de Vries Equations
(Master thesis, 2011)We discuss numerical quadratures in one and two dimensions, which is followed by a discussion regarding the differentiation of general operators in Banach spaces. In addition, we discuss the standard and fractional Sobolev ... -
On Optimal Tightness for Key Exchange with Full Forward Secrecy via Key Confirmation
(Journal article; Peer reviewed, 2023)A standard paradigm for building key exchange protocols with full forward secrecy (and explicit authentication) is to add key confirmation messages to an underlying protocol having only weak forward secrecy (and implicit ... -
On orbit and localization constructions for triangulated categories
(Doctoral theses at NTNU;2017:224, Doctoral thesis, 2017) -
On Regret Bounds for Continual Single-Index Learning
(Journal article, 2022)In this paper, we generalize the problem of single-index model to the context of continual learning in which a learner is challenged with a sequence of tasks one by one and the dataset of each task is revealed in an online ... -
On response-dependent sampling and score tests for regression models with missing covarities; Applications to extreme phenotype sampling in genetic association studies.
(Doctoral theses at NTNU;2019:189, Doctoral thesis, 2019) -
On sensitivity of exponentiality tests to data rounding: a Monte Carlo simulation study
(Journal article; Peer reviewed, 2021)Different statistical procedures are differently sensitive to data rounding. It turns out that tests for exponentiality are more sensitive to the data rounding than many classical parametric tests or than nonparametric ...