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Applications and numerical investiga...

Milton, David Ian Murray.

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Applications and numerical investigation of differential algebraic equations.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Applications and numerical investigation of differential algebraic equations./
Author:	Milton, David Ian Murray.
Description:	82 p.
Notes:	Source: Masters Abstracts International, Volume: 49-01, page: 0478.
Contained By:	Masters Abstracts International49-01.
Subject:	Applied Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=MR62232
ISBN:	9780494622322

Applications and numerical investigation of differential algebraic equations.
Milton, David Ian Murray.

Applications and numerical investigation of differential algebraic equations. - 82 p.

Source: Masters Abstracts International, Volume: 49-01, page: 0478.

Thesis (M.Sc.)--University of Ontario Institute of Technology (Canada), 2010.

Differential-algebraic equations (DAEs) result in many areas of science and engineering. In this thesis, numerical methods for solving DAEs are compared for two problems, energy-economic models and traffic flow models. An energy-economic model is presented based on the Hubbert model of oil production and is extended to include economic factors for the first time. Using numerical methods to simulate the DAE model, the resulting graphs break the symmetry of the traditional Hubbert curve. For the traffic flow models, a numerical method is developed to solve the steady-state flow pattern including the linearly unstable regime, i.e. solutions which cannot be found with an initial value solver.

ISBN: 9780494622322Subjects--Topical Terms:

1669109
Applied Mathematics.

Applications and numerical investigation of differential algebraic equations.
LDR:01664nam 2200289 4500 001 1396353
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020 $a 9780494622322
035 $a (UMI)AAIMR62232
035 $a AAIMR62232
040 $a UMI $c UMI
100 1 $a Milton, David Ian Murray. $3 1675132
245 1 0 $a Applications and numerical investigation of differential algebraic equations.
300 $a 82 p.
500 $a Source: Masters Abstracts International, Volume: 49-01, page: 0478.
502 $a Thesis (M.Sc.)--University of Ontario Institute of Technology (Canada), 2010.
520 $a Differential-algebraic equations (DAEs) result in many areas of science and engineering. In this thesis, numerical methods for solving DAEs are compared for two problems, energy-economic models and traffic flow models. An energy-economic model is presented based on the Hubbert model of oil production and is extended to include economic factors for the first time. Using numerical methods to simulate the DAE model, the resulting graphs break the symmetry of the traditional Hubbert curve. For the traffic flow models, a numerical method is developed to solve the steady-state flow pattern including the linearly unstable regime, i.e. solutions which cannot be found with an initial value solver.
520 $a Key words. numerical method, differential-algebraic equation, oil production, traffic modelling.
590 $a School code: 1555.
650 4 $a Applied Mathematics. $3 1669109
650 4 $a Economics, General. $3 1017424
650 4 $a Energy. $3 876794
650 4 $a Operations Research. $3 626629
690 $a 0364
690 $a 0501
690 $a 0791
690 $a 0796
710 2 $a University of Ontario Institute of Technology (Canada). $3 1057491
773 0 $t Masters Abstracts International $g 49-01.
790 $a 1555
791 $a M.Sc.
792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=MR62232