Browsing Department of Mathematics by Title
Now showing items 10281047 of 1053

Vilhelm Bjerknes og Bergensskolen. Forelesning holdt på Matematisk institutt, Universitetet i Bergen 22.04.1998
(Department of Applied Mathematics report, Research report, 199810) 
Visualisering og konkretisering av omdreiningslegemer ved bruk av Geogebra 3D og 3Dprinter
(Master thesis, 20170726)Digital programvare og digitale verktøy er i stadig utvikling, og matematiske programmer, som for eksempel Geogebra, gir oss mulighet til å visualisere matematikk på en enklere og raskere måte enn tidligere, både gjennom ... 
Visuelle løsningsstrategier til sannsynlighetsoppgaver  En studie av fem videregående elevers bruk av ulike visuelle løsningsstrategier i sannsynlighetsregning
(Master thesis, 20170726)Denne masteroppgaven handler om elever på videregående sin bruk av visuelle løsningsstrategier i møte med sannsynlighetsoppgaver. Formålet var blant annet å undersøke hvilke ulike visuelle løsningsstrategier elever benytter ... 
Volatility modelling in time and space
(Doctoral thesis, 20201106)This thesis contributes to the scientific community in several aspects. We introduce both spatial and spatiotemporal extensions to the family of GARCH and ARMAGARCH models and present asymptotic statistics for the quasi ... 
Volume preserving numerical integrators for ordinary differential equations
(Doctoral thesis, 20131108) 
Vurdering for læring i matematikk  vurderingspraksis i 1YT i to klassar på elektrofag
(Master thesis, 20160531)Denne oppgåva handlar om formativ vurdering i matematikk. I problemstillinga spør ein etter i kva grad kapittel og lekseprøver i 1YT har ein formativ funksjon for elevar på elektrofag. Ein skil mellom formål og funksjon ... 
Water renewal in a threshold fjord: A simulation study of submerged fresh water discharge
(Master thesis, 20181215)Threshold fjords are characterized by low concentrations of oxygen in the depths of the basin, caused by weak and/or infrequent exchange of the basin water. A threedimensional ocean model, The Bergen Ocean Model (BOM), ... 
Wave breaking in KdV equations with higher nonlinearity
(Master thesis, 20230531)The undular bore is a wave propagating in shallow water, often resulting from tidal forces that cause a slight change in the wave heights. Favre (1935) did a physical experiment where an undular bore was created and he ... 
Wave breaking in long wave models and undular bores
(Master thesis, 20151218)Bores are a well known phenomena in fluid mechanics, although their occurrence in nature is relatively rare. The circumstances in which they occur is usually when a tidal swell causes a difference in surface elevation in ... 
Wave breaking in the BBMequation
(Master thesis, 20190402) 
Wave Breaking in Undular Bores with Shear Flows
(Journal article; Peer reviewed, 2021)It is well known that weak hydraulic jumps and bores develop a growing number of surface oscillations behind the bore front. Defining the bore strength as the ratio of the head of the undular bore to the undisturbed depth, ... 
Wave loads on ocean infrastructure increase as a result of waves passing over abrupt depth transitions
(Journal article; Peer reviewed, 2022)Abrupt changes in water depth are known to lead to abnormal freesurface wave statistics. The present study considers whether this translates into abnormal loads on offshore infrastructure. A fully nonlinear numerical ... 
Wave response to an arbitrary motion of a load on an ice plate
(Master thesis, 20220622) 
Waves generated by moving loads on ice plates: Viscoelastic approximations
(Journal article; Peer reviewed, 2022)The paper investigates waves generated by the moving loads on ice plates floating on an incompressible fluid. Two different viscoelastic approximations are considered for the ice cover: A model depending on the strainrelaxation ... 
Weak solutions and convergent numerical schemes of BrennerNavierStokes equations
(Research report, 20150120)Lately, there has been some interest in modifications of the compressible NavierStokes equations to include diffusion of mass. In this paper, we investigate possible ways to add mass diffusion to the 1D NavierStokes ... 
The weight spectrum of two families of ReedMuller codes
(Journal article; Peer reviewed, 2023)We determine the weight spectra of the ReedMuller codes RM (m− 3, m) for m ≥ 6 and RM (m − 4, m) for m ≥ 8. The technique used is induction on m, using that the sum of two weights in RM (r −1, m−1) is a weight in RM (r, ... 
Wellposedness and discretization for a class of models for mixeddimensional problems with highdimensional gap
(Journal article; Peer reviewed, 2021)In this work, we show the underlying mathematical structure of mixeddimensional models arising from the composition of graphs and continuous domains. Such models are becoming popular in applications, in particular, to ... 
WellPosedness for a Dispersive System of the WhithamBoussinesq Type
(Journal article; Peer reviewed, 2020)We regard the Cauchy problem for a particular WhithamBoussinesq system modeling surface waves of an inviscid incompressible fluid layer. We are interested in wellposedness at a very low level of regularity. We derive ... 
WellPosedness for a Whitham–Boussinesq System with Surface Tension
(Journal article; Peer reviewed, 2020)We regard the Cauchy problem for a particular Whitham–Boussinesq system modelling surface waves of an inviscid incompressible fluid layer. The system can be seen as a weak nonlocal dispersive perturbation of the shallow ... 
Wellposedness Issues for Nonlinear Partial Differential Equations Appearing in the Modeling of Long Water Waves
(Doctoral thesis, 20181218)Modelling of wave motion in a fluid is usually based on classical systems which are obtained by the hypotheses that the flow is irrotational and the bottom is even. In such a context, the influence of vorticity is entirely ...