Blar i Faculty of Mathematics and Natural Sciences på tittel
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On the shoaling of solitary waves in the KdV equation
(Journal article; Peer reviewed, 2014)The waveheight change in surface waves with a sufficiently slow variation in depth is examined. Using a new formulation of the energy flux associated to waves modeled by the Kortewegde Vries equation, a system of three ... 
On the Significance of Distance in Machine Learning
(Doctoral thesis, 20231023)Avstandsbegrepet er grunnleggende i maskinlæring. Hvordan vi velger å måle avstand har betydning, men det er ofte utfordrende å finne et passende avstandsmål. Metrisk læring kan brukes til å lære funksjoner som implementerer ... 
On the Solution of the Solitary Wave Problem
(Department of Applied Mathematics report, Research report, 199707) 
On the Sombor characteristic polynomial and Sombor energy of a graph
(Journal article; Peer reviewed, 2022)Let G be a simple graph with vertex set V(G)={v1,v2,…,vn}. The Sombor matrix of G, denoted by ASO(G), is defined as the n×n matrix whose (i, j)entry is d2i+d2j−−−−−−√ if vi and vj are adjacent and 0 for another cases. Let ... 
On the Stability of a Magnetized Plasma with a Continuous Density Gradient in a Uniform External Force Field
(Department of Applied Mathematics report, Research report, 196406) 
On the stability of plane inviscid Couette flow
(Department of Applied Mathematics report, Research report, 196611) 
On the strong dominating sets of graphs
(Journal article, 2023) 
On the timing between terrestrial gamma ray flashes, radio atmospherics, and optical lightning emission
(Peer reviewed; Journal article, 2017)On 25 October 2012 the Reuven Ramaty High Energy Solar Spectroscope Imager (RHESSI) and the Tropical Rainfall Measuring Mission (TRMM) satellites passed over a thunderstorm on the coast of Sri Lanka. RHESSI observed a ... 
On the Tractability of Optimization Problems on HGraphs
(Journal article; Peer reviewed, 2020)For a graph H, a graph G is an Hgraph if it is an intersection graph of connected subgraphs of some subdivision of H. Hgraphs naturally generalize several important graph classes like interval graphs or circulararc ... 
On the unique continuation of solutions to nonlocal nonlinear dispersive equations
(Journal article; Peer reviewed, 2020)We prove unique continuation properties of solutions to a large class of nonlinear, nonlocal dispersive equations. The goal is to show that if u1,u2 are two suitable solutions of the equation defined in Rn×[0,T] such that ... 
On the uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations.
(Department of Applied Mathematics report, Research report, 200204) 
On the Uniqueness and Stability of Entropy Solutions of nonlinear degenerate parabolic Equations with rough Coefficients
(Department of Applied Mathematics report, Research report, 200005) 
On the use of a new mathematical formulation for loads and motion analysis of a mooring line
(Master thesis, 20231120)This master thesis investigates the use of a new mathematical model for calculating loads and dynamic motion of a mooring line. Current industry standard mooring analysis tools uses a lumped parameter modelling approach. ... 
On the use of car observations to evaluate and improve road weather forecasting
(Master thesis, 20230601) 
On the Use of Dual CoPolarized Radar Data to Derive a Sea Surface Doppler Model  Part 2: Simulation and Validation
(Journal article; Peer reviewed, 2023)The Doppler shift obtained from synthetic aperture radar (SAR) measurements comprises the combined contribution to the radial motion of the ocean surface induced by the sea state (wind waves and swell) and underlying surface ... 
On the use of the Richtmyer procedure to compute a finite amplitude sound beam from a piston source
(Department of Applied Mathematics report, Research report, 19870403) 
On the use of vertically averaged models to simulate CO2 migration in a layered saline aquifer
(Master thesis, 20100601)Geologic and flow characteristics such as permeability and porosity, capillary pressure, geologic structure, and thickness all influence and affect CO2 plume distribution to varying degrees. These parameters do not necessarily ... 
On the utility of individual tendency output: Revealing interactions between parameterized processes during a marine cold air outbreak
(Journal article; Peer reviewed, 2021)Forecasts of marine cold air outbreaks critically rely on the interplay of multiple parameterization schemes to represent subgridscale processes, including shallow convection, turbulence, and microphysics. Even though ... 
On Two Fundamental Problems on APN Power Functions
(Journal article; Peer reviewed, 2022)The six infinite families of power APN functions are among the oldest known instances of APN functions, and it has been conjectured in 2000 that they exhaust all possible power APN functions. Another longstanding open ... 
On weak solutions and a covergent numerical scheme for the compressible NavierStrokes Equations
(Journal article, 20150226)In this paper, the threedimensional compressible NavierStokes equations are considered on a periodic domain. We propose a semidiscrete numerical scheme and derive a priori bounds that ensures that the resulting system ...