New model reduction technique for a class of parabolic partial differential equations

Miklos Vajta

doi:10.1109/ICSYSE.1991.161141

New model reduction technique for a class of parabolic partial differential equations

Miklos Vajta

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Abstract

A model reduction (or lumping) technique for a class of parabolic-type partial differential equations is given, and its application is discussed. The frequency response of the temperature distribution in any multilayer solid is developed and given by a matrix expression. The distributed transfer functions (DTFs) between the surface variables and the ambient variables are given. The proposed method is based on the special high-frequency properties of these DTFs. The rational fraction expansion is compared with the lumping technique. Numerical examples from real-time applications are given

Original language	English
Title of host publication	IEEE International Conference on System Engineering
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	311-315
Number of pages	5
DOIs	https://doi.org/10.1109/ICSYSE.1991.161141
Publication status	Published - 1 Aug 1991
Event	IEEE International Conference on Systems Engineering 1991 - Dayton, United States Duration: 1 Aug 1991 → 3 Aug 1991

Conference

Conference	IEEE International Conference on Systems Engineering 1991
Country/Territory	United States
City	Dayton
Period	1/08/91 → 3/08/91

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10.1109/ICSYSE.1991.161141

Vajta1991newFinal published version, 318 KB

Cite this

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title = "New model reduction technique for a class of parabolic partial differential equations",

abstract = "A model reduction (or lumping) technique for a class of parabolic-type partial differential equations is given, and its application is discussed. The frequency response of the temperature distribution in any multilayer solid is developed and given by a matrix expression. The distributed transfer functions (DTFs) between the surface variables and the ambient variables are given. The proposed method is based on the special high-frequency properties of these DTFs. The rational fraction expansion is compared with the lumping technique. Numerical examples from real-time applications are given",

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N2 - A model reduction (or lumping) technique for a class of parabolic-type partial differential equations is given, and its application is discussed. The frequency response of the temperature distribution in any multilayer solid is developed and given by a matrix expression. The distributed transfer functions (DTFs) between the surface variables and the ambient variables are given. The proposed method is based on the special high-frequency properties of these DTFs. The rational fraction expansion is compared with the lumping technique. Numerical examples from real-time applications are given

AB - A model reduction (or lumping) technique for a class of parabolic-type partial differential equations is given, and its application is discussed. The frequency response of the temperature distribution in any multilayer solid is developed and given by a matrix expression. The distributed transfer functions (DTFs) between the surface variables and the ambient variables are given. The proposed method is based on the special high-frequency properties of these DTFs. The rational fraction expansion is compared with the lumping technique. Numerical examples from real-time applications are given

U2 - 10.1109/ICSYSE.1991.161141

DO - 10.1109/ICSYSE.1991.161141

M3 - Conference contribution

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BT - IEEE International Conference on System Engineering

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CY - Piscataway, NJ, USA

T2 - IEEE International Conference on Systems Engineering 1991

Y2 - 1 August 1991 through 3 August 1991

ER -

New model reduction technique for a class of parabolic partial differential equations

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