Browsing Institutt for matematiske fag by Title
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Numerical investigation of modeling frameworks and geometric approximations on NREL 5 MW wind turbine
(Journal article; Peer reviewed, 2018)The key to the better design of an industrial scale wind turbine is to understand the influence of blade geometry and its dynamics on the complicated flowstructures. An industrialscale wind turbine can be numerically ... 
Numerical Methods and Brute Force Optimisation for a General Formulation of the Mean Field Game Equations
(Master thesis, 2015)This thesis considers the numerical solution of a general formulation of the mean field game (MFG) equations. MFG are a relatively new field with few general results but with many modelling applications. The MFG equations ... 
Numerical Methods for Highly Oscillatory Problems
(Doktoravhandlinger ved NTNU, 15038181; 2010:115, Doctoral thesis, 2010)Classical quadrature methods, i.e. methods for numerical integration,require discretizations that become more fine the more the integrandis oscillating. Conversely, asymptotic methods provide approximationsof the same ... 
Numerical Methods for Nonholonomic Mechanics
(Master thesis, 2009)We discuss nonholonomic systems in general and numerical methods for solving them. Two different approaches for obtaining numerical methods are considered; discretization of the Lagranged'Alembert equations on the one ... 
Numerical Methods for Nonholonomic Rigid Body Dynamics
(Master thesis, 2011)We discuss general nonholonomic systems on manifolds in the setting of both continousand discrete mechanics, before focusing on systems with symmetry that enable a reduction of the equations of motion to a quotient space ... 
Numerical Methods for Optical Interference Filters
(Master thesis, 2009)We present the physics behind general optical interference filters and the design of dielectric antireflective filters. These can be antireflective at a single wavelength or in an interval. We solve the first case exactly ... 
Numerical Methods for the BenjaminOno Equation
(Master thesis, 2013)In this thesis, we compare four numerical methods for solving the BenjaminOno equation. The numerical methods are presented in detail, and we compare them for different test problems. We derive the Hirota bilinear form ... 
Numerical Methods for Valuation and Optimal Operation of Natural Gas Storage
(Master thesis, 2015)The thesis describes different approaches for solving numerically a PDE model for the valuation and optimal operation of a natural gas storage facility, characterized as a Hamilton Jacobi Bellman (HJB) equation. The HJB ... 
Numerical Modeling Framework for Wind Turbine Analysis & Atmospheric Boundary Layer Interaction
(Chapter, 2017)Prevailing atmospheric conditions can have a significant impact on the performance of large megawatt wind turbines. A purely experimental evaluation of this impact is currently not possible and hence numerical techniques ... 
Numerical Path Integration Applied to Options under the Normal Inverse Gaussian Market Model: Pricing path dependent options on Nord Pool electricity forwards when assuming normal inverse Gaussian dynamics by numerical path integration
(Master thesis, 2010)In citeasnoun{SkaugNaess2007} Path integration (PI) was used on discretely monitored barriers options with a log normal return. Compared to the trinomial three used in citeasnoun{BroadieEtAl1997} it is an order of magnitude ... 
Numerical Path Integration for Lévy Driven Stochastic Differential Equations
(Master thesis, 2006)Some theory on Lévy processes and stochastic differential equations driven by Lévy processes is reviewed. Inverse Fast Fourier Transform routines are applied to compute the density of the increments of Lévy processes. We ... 
Numerical Path Integration for Lévy Driven Stochastic Differential Equations
(Master thesis, 2006)Some theory on Lévy processes and stochastic differential equations driven by Lévy processes is reviewed. Inverse Fast Fourier Transform routines are applied to compute the density of the increments of Lévy processes. We ... 
Numerical simulation of highfrequency induction welding in longitudinal welded tubes
(Journal article; Peer reviewed, 2024)In the present paper the highfrequency induction welding process is studied numerically. The mathematical model comprises a harmonic vector potential formulation of the Maxwell equations and a quasistatic, convection ... 
Numerical Simulation of Interacting Bodies with Delays; Application to Marine Seismic Source Arrays.
(Master thesis, 2007)This master thesis has looked at numerical simulation of interacting bodies with delays, especially the situation involving interacting airguns in seismic source arrays. The equations describing the airguns have been ... 
Numerical Simulation of Nonholonomic Dynamics
(Master thesis, 2006)We study the numerical integration of nonholonomic problems. The problems are formulated using Lagrangian and Hamiltonian mechanics. We review briefly the theoretical concepts used in geometric mechanics. We reconstruct ... 
Numerical solution of buoyancydriven flow problems
(Master thesis, 2009)Numerical solution of buoyancydriven flow problems in two spatial dimensions is presented. A highorder spectral method is applied for the spatial discretization, while the temporal discretization is done by operator ... 
Numerical solution of coupled fluidthermal problems
(Master thesis, 2010)This study develops a numerical steadystate solutions to both buoyancy driven and surface tension driven flow problems in two spatial dimensions. A highorder spectral method is ap plied for the spatial discretization, ... 
Numerical Solution of Equilibrium Equations of Spatial Elastica
(Master thesis, 2013)The goal of the thesis was to simulate numerically some equilibrium equationsof spatial elastica, where the equations simulate an elastic rod that has been deformed. The equations are taken from the article ?Analytical ... 
Numerical solution of nonlocal PDEs arising in Finance.
(Master thesis, 2009)It is a well known fact that the value of an option on an asset following a Levy jumpprocess, can be found by solving a Partial IntegroDifferential Equation (PIDE). In this project, two new schemes are presented to solve ... 
Numerical solution of partial differential equations in timedependent domains
(Master thesis, 2008)Numerical solution of heat transfer and fluid flow problems in two spatial dimensions is studied. An arbitrary LagrangianEulerian (ALE) formulation of the governing equations is applied to handle timedependent geometries. ...