Application of fast automatic differentiation for solving the inverse coefficient problem for the heat equation
type: Item
instance of: scholarly article
title: Application of fast automatic differentiation for solving the inverse coefficient problem for the heat equation
zbMATH Open document ID: 1375.80010
DOI: 10.1134/S0965542516100146
author: V. I. Zubov
published in: Computational Mathematics and Mathematical Physics
publication date: 2017-01-31T00:00:00Z
review text: The author considers the inverse problem for the heat equation in the case when the heat-conduction coefficient is an unknown function of the temperature. An algorithm for solving this problem based on the methodology of rapid automatic differentiation is proposed. Examples that demonstrate the effectiveness of the proposed approach are given.
Mathematics Subject Classification ID: 80A23
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6679151
zbMATH Keywords: heat equation
zbMATH Keywords: heat conduction
zbMATH Keywords: inverse coefficient problems
zbMATH Keywords: numerical algorithm
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6679151