Model reduction in numerical heat transfer problems
type: Item
instance of: scholarly article
title: Model reduction in numerical heat transfer problems
zbMATH Open document ID: 0824.65085
DOI: 10.1016/0096-3003(94)00128-Q
author: Ahmet Z. Şahin
author: Davut Kavranoğlu
author: Maamar Bettayeb
published in: Applied Mathematics and Computation
publication date: 1995-11-13T00:00:00Z
review text: It is known that classical implicit and explicit methods lead for long term solutions to solving systems with large size matrices. On the model of a multidimensional heat transfer problem the authors study four model reduction methods to circumvent this difficulty. Numerical experiments show, as the authors write, that ``results are encouraging and attractive especially for the purpose of simulation and control problems''.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 761787
zbMATH Keywords: finite differences
zbMATH Keywords: numerical experiments
zbMATH Keywords: multidimensional heat transfer
zbMATH Keywords: model reduction methods
MaRDI profile type: Publication
cites work: A course in \(H_{\infty}\) control theory
cites work: Principal component analysis in linear systems: Controllability, observability, and model reduction
cites work: Singular perturbation approximation of balanced systems
cites work: All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
cites work: Characterization of the solution to the optimal \(H_{\infty}\) model reduction problem
cites work: A computational scheme for H∞ model reduction
description: scientific article; zbMATH DE number 761787