Browsing Department of Mathematics by Title
Now showing items 120 of 259

A 3D computational study of effective medium methods applied to fractured media
(Springer, 201310)This work evaluates and improves upon existing effective medium methods for permeability upscaling in fractured media. Specifically, we are concerned with the asymmetric selfconsistent, symmetric selfconsistent, and ... 
4D Seismic History Matching Using the Ensemble Kalman Filter (EnKF): Possibilities and Challenges
(The University of Bergen, 20100527)This research endeavor presents a 4D seismic history matching work flow based on the ensemble Kalman filter (EnKF) methodology. The objective of this work is to investigate the sensitivity of different combinations ... 
Active and integrated management of water resources throughout CO2 capture and sequestration operations
(Elsevier, 2011)Most projected climate change mitigation strategies will require a significant expansion of CO2 Capture and Sequestration (CCS) in the next two decades. Four major categories of challenges are being actively researched: ... 
Adaptive parameterization of electric conductivity in inversion of electromagnetic data
(The University of Bergen, 20120601)We describe a methodology developed for 3D parameter identification, with focus on largescale applications such as monitoring subsea oil production and geothermal systems. The methodology is designed to handle challenges ... 
Analysis of left truncated data with an application to insurance data
(The University of Bergen, 20090602)This thesis discusses different ways of analysing left truncated data when the lower bound itself is a stochastic variable. We will consider the possible dependence between the variable of interest and the truncating ... 
Analysis of multibeam sonar echos of herring schools by means of simulation
(The University of Bergen, 20130531)The synchronized behavior of large schools of fish can be a fascinating sight and has caught the attention of researchers for decades. Schools of thousands, or even millions of fish can seemingly function as a single ... 
An Analysis of the Corner Velocity Interpolation as the Approximation Space in a Mixed Finite Element Method
(The University of Bergen, 2008) 
Application of VerticallyIntegrated Models with Subscale Vertical Dynamics to Field Sites for CO2 Sequestration
(Elsevier, 2014)To address the engineering questions on security issues of geological carbon sequestration (GCS), a broad range of computational models with different levels of complexity have been developed  from multiphase multicomponent ... 
An approximate hybrid method for modeling of electromagnetic scattering from an underground target
(The University of Bergen, 20101209)The detection of a potential petroleum reservoir is achieved through inversion of electromagnetic data acquired in sea floor receivers. Inversion of electromagnetic data requires a number of repeated solves of the ... 
Arachnoid cysts do not contain cerebrospinal fluid: A comparative chemical analysis of arachnoid cyst fluid and cerebrospinal fluid in adults
(BioMed Central, 20100610)Background Arachnoid cyst (AC) fluid has not previously been compared with cerebrospinal fluid (CSF) from the same patient. ACs are commonly referred to as containing "CSFlike fluid". The objective of this study was to ... 
Assessing Model Uncertainties Through Proper Experimental Design
(Elsevier, 2013)This paper assesses how parameter uncertainties in the model for rise velocity of CO2 droplets in the ocean cause uncertainties in their rise and dissolution in marine waters. The parameter uncertainties in the rise velocity ... 
Assessment of Sequential and Simultaneous Ensemblebased History Matching Methods for Weakly Nonlinear Problems
(The University of Bergen, 20150213)The ensemble Kalman filter (EnKF) has, since its introduction in 1994, gained much attention as a tool for sequential data assimilation in many scientific areas. In recent years, the EnKF has been utilized for estimating ... 
Association between body height and chronic low back pain: a followup in the NordTrøndelag Health Study
(BMJ, 20150615)Objective: To study potential associations between body height and subsequent occurrence of chronic low back pain (LBP). Design: Prospective cohort study. Setting: The NorthTrøndelag Health Study (HUNT). Data ... 
Auxiliary variables for 3D multiscale simulations in heterogeneous porous media
(Elsevier, 20130401)The multiscale controlvolume methods for solving problems involving flow in porous media have gained much interest during the last decade. Recasting these methods in an algebraic framework allows one to consider them ... 
Begrepsforståelse i matematikkfaget
(The University of Bergen, 20140530)Intensjonen med denne oppgaven er å kunne gi en vurdering av hvilke matematiske basiskunnskaper elevene som begynner på videregående har og gi noen forslag til hva som kan gjøres for å forbedre undervisningen 
Beskrivelse av skoleforsøket: Lagring av CO2 under havbunnen
(20100304) 
Blanda modellar i R
(The University of Bergen, 20061121) 
Boundaryvalue problems and shoaling analysis for the BBM equation
(The University of Bergen, 20120220)In this thesis we study the BBM equation u_t+u_x+ \frac{3}{2}uu_x  \frac{1}{6} u_{xxt}= 0 which describes approximately the twodimensional propagation of surface waves in a uniform horizontal channel containing an ... 
Bridging the ensemble Kalman filter and particle filters: the adaptive Gaussian mixture filter
(Springer, 2010)The nonlinear filtering problem occurs in many scientific areas. Sequential Monte Carlo solutions with the correct asymptotic behavior such as particle filters exist, but they are computationally too expensive when working ... 
Brill–Noether theory of squarefree modules supported on a graph
(Elsevier, 201305)We investigate the analogy between squarefree Cohen Macaulay modules supported on a graph and line bundles on a curve. We prove a Riemann–Roch theorem, we study the Jacobian and gonality of a graph, and we prove ...