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Applications and numerical investiga...

Milton, David Ian Murray.

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Applications and numerical investigation of differential algebraic equations.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Applications and numerical investigation of differential algebraic equations./
作者:	Milton, David Ian Murray.
面頁冊數:	82 p.
附註:	Source: Masters Abstracts International, Volume: 49-01, page: 0478.
Contained By:	Masters Abstracts International49-01.
標題:	Applied Mathematics. -
電子資源:	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.
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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.
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590 $a School code: 1555.
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650 4 $a Economics, General. $3 1017424
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