Blar i Institutt for matematiske fag på emneord "Fysikk og matematikk, Industriell matematikk"
Viser treff 1-20 av 164
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A Bayesian Model for Area and Point Predictions - A Case Study of Predictions of Annual Precipitation and Runoff in the Voss Area.
(Master thesis, 2016)In this work we perform predictions of annual precipitation and runoff by spatial interpolation. For this purpose, we utilise both point observations of precipitation and/or area observations of runoff from several years. ... -
A Convergent Crank-Nicolson Galerkin Scheme for the Benjamin-Ono Equation
(Master thesis, 2016)In this thesis we prove the convergence of a Crank--Nicolson type Galerkin finite element scheme for the initial value problem associated to the Benjamin--Ono equation. The proof is based on a recent result for a similar ... -
A General Nonlinear Reservoir Simulator with the Full Approximation Scheme
(Master thesis, 2018)Simulation of multiphase flow and transport in porous rock formations gives rise to large systems of strongly coupled nonlinear equations. Solving these equations is computationally challenging because of orders of magnitude ... -
A Hybrid Metaheuristic for a Multi-Objective Mixed Capaciated General Routing Problem
(Master thesis, 2014)In this thesis, we have studied a bi-objective variant of the Mixed Capacitated General Routing Problem (MCGRP). The MCGRP is a generalization of other well known routing problems. It is defined on a mixed, weighted graph, ... -
A Library for Computing with Trees and B-Series
(Master thesis, 2015)Unordered rooted trees and B-series can be used to analyze the properties of many one-step methods for autonomous ordinary differential equations. This thesis describes aspects of trees and B-series necessary to use them ... -
A mathematical model for calculating river hydrographs using high resolution digital elevation models
(Master thesis, 2017)Prediction of floods is important to prevent damage to human lives, build- ings or infrastructure, and we have developed a simulation model to address this. The model is a so-called distributed rainfall-runoff model, which ... -
A Nonlinear Isogeometric Finite Element Analysis of a Wind Turbine Foil
(Master thesis, 2014)In the recent years, much attention has been given to the design of offshore wind turbines. Today, the largest wind turbine has a rotor diameter of 164m. The harsh environments expose the turbines to large forces from wind ... -
A Nonlinear Partial Differential Equation and Its Viscosity Solutions
(Master thesis, 2016)We study a nonlinear partial differential equation with Lipschitz continuous coefficient functions. Existence and uniqueness of viscosity solutions is proved by approximating with minimizers of variational integrals. The ... -
A Novel Profit Scoring Method for Classifying Credit Card Applications
(Master thesis, 2017)This thesis presents a new scoring method for credit card applications. The method balances the risk and the expected profits an applicant represents to a credit card company. In addition, the EMP cut-off selection procedure ... -
A Parallel Solution to Large Scale Hydropower Scheduling - By reducing the number of synchronization points in the Stochastic Dual Dynamic Programming (SDDP) Algorithm
(Master thesis, 2014)Stochastic dual dynamic programming (SDDP) has become a popular algorithm used in practical long-term scheduling of hydro power systems. The SDDP algorithm is significantly more computationally demanding than most ... -
A Phase Field Approach for a Modified Mumford-Shah Functional Based on Fractional Derivatives
(Master thesis, 2016)Recovering the true image, or true signal, from a corrupted one is by no means a trivial task, and we will in this paper study some approaches to finding good approximations to this unknown true image. The main focus will ... -
A Reduced Basis Method for steady Stokes flow
(Master thesis, 2018)In light of the increasing demand for many-query and real-time PDE solutions, reduced basis methods stand as a promising technique for developing solvers with the desired performance. In this thesis, we present the theory ... -
A Simulation-based Approach for Exploring the Degradation and Maintenance of a Single-unit System
(Master thesis, 2015)A model for degradation and maintenance of a single-item system is extensively studied in this thesis, using a simulation based approach. Stochastic processes are used as degradation models and the item is maintained ... -
A spectral method for fractional porous medium equations
(Master thesis, 2015)This master's thesis considers the fractional general porous medium equation; a nonlocal equation with nonlinear diffusivity. Properties of the nonlocal operator are derived. Existence of distributional solutions are proved, ... -
A Statistical Approach to Spatial Mapping of Temperature Change
(Master thesis, 2017)In this thesis, spatio-temporal temperature trends are estimated based on monthly average temperatures from 503 observation locations in the southern half of Norway. The time period studied is 1960 to 2016. A latent Gaussian ... -
A Study of Dispersive Evolution Equations with Nonlocal Nonlinearities
(Master thesis, 2015)In this thesis we consider a nonlinear-nonlocal equation of Whitham type. We prove the local well-posedness for our equation in the fractional Sobolev space by using the Picard Lindelöf existence theorem to prove the ... -
A Study on Soccer Prediction using Goals and Shots on Target
(Master thesis, 2015)In this thesis I have developed a model for result prediction in soccer. The model is based on chances created being modeled as a Poisson process while goals scored is seen as a result of first creating chances and then ... -
A Three-Dimensional Finite Element Poisson Solver for Monte Carlo Particle Simulators
(Master thesis, 2018)A finite element Poisson solver for the calculation of the three-dimensional electric field in self-consistent particle simulations has been implemented in Fortran and integrated into an existing Monte Carlo simulator for ... -
Accelerated Smoothing and Construction of Prolongation Operators for the Multiscale Restricted-Smoothed Basis Method on Distributed Memory Systems
(Master thesis, 2016)During the last two decades, several multiscale solvers have been developed in an attempt to reduce the computational cost of reservoir simulations. One such method is the recently proposed and promising multiscale ... -
Advanced Filtering in Intuitive Robot Programming
(Master thesis, 2006)This text deals with the problem of reducing multi-dimensional data in the context of programming an industrial robot. Different ways to treat the positional and orientational data are discussed, and algorithms for each ...