Browsing Institutt for matematiske fag by Title
Now showing items 1527-1546 of 2569
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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 flow-structures. An industrial-scale 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, 1503-8181; 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 Lagrange-d'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 anti-reflective filters. These can be anti-reflective at a single wavelength or in an interval. We solve the first case exactly ... -
Numerical Methods for the Benjamin-Ono Equation
(Master thesis, 2013)In this thesis, we compare four numerical methods for solving the Benjamin-Ono 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 mega-watt 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 high-frequency induction welding in longitudinal welded tubes
(Journal article; Peer reviewed, 2024)In the present paper the high-frequency induction welding process is studied numerically. The mathematical model comprises a harmonic vector potential formulation of the Maxwell equations and a quasi-static, 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 buoyancy-driven flow problems
(Master thesis, 2009)Numerical solution of buoyancy-driven flow problems in two spatial dimensions is presented. A high-order spectral method is applied for the spatial discretization, while the temporal discretization is done by operator ... -
Numerical solution of coupled fluid-thermal problems
(Master thesis, 2010)This study develops a numerical steady-state solutions to both buoyancy driven and surface tension driven flow problems in two spatial dimensions. A high-order 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 de-formed. The equations are taken from the article ?Analytical ... -
Numerical solution of non-local 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 jump-process, can be found by solving a Partial Integro-Differential Equation (PIDE). In this project, two new schemes are presented to solve ... -
Numerical solution of partial differential equations in time-dependent domains
(Master thesis, 2008)Numerical solution of heat transfer and fluid flow problems in two spatial dimensions is studied. An arbitrary Lagrangian-Eulerian (ALE) formulation of the governing equations is applied to handle time-dependent geometries. ...