Model reduction in numerical heat transfer problems

DOI10.1016/0096-3003(94)00128-QzbMath0824.65085MaRDI QIDQ1892074

Maamar Bettayeb, Davut Kavranoğlu, Ahmet Z. Şahin

Publication date: 13 November 1995

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

numerical experimentsfinite differencesmodel reduction methodsmultidimensional heat transfer

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Cites Work

• A course in \(H_{\infty}\) control theory
• Characterization of the solution to the optimal \(H_{\infty}\) model reduction problem
• All optimal Hankel-norm approximations of linear multivariable systems and theirL,^∞-error bounds†
• Principal component analysis in linear systems: Controllability, observability, and model reduction
• Singular perturbation approximation of balanced systems
• A computational scheme for H∞ model reduction

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