An approach for recovering initial temperature via a bounded linear time sampling

DOI10.1016/j.jmaa.2022.126179zbMath1486.35460OpenAlexW4220934197MaRDI QIDQ2124679

Ramesh Karki, Ashok Aryal

Publication date: 11 April 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126179

zbMATH Keywords

temperature measurementsfuture time instancesinitial temperature profileoptimal error and measurement algorithm

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Thermodynamics in solid mechanics (74A15) Heat equation (35K05) Inverse problems for PDEs (35R30) Series solutions to PDEs (35C10) Applications to the sciences (65Z05)

Cites Work

• A discrete sampling inversion scheme for the heat equation
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• Optimal nonlinear approximation
• Wavelet compression and nonlinear \(n\)-widths
• Recovery of an initial temperature from discrete sampling
• Determination of initial states of parabolic systems from discrete data
• On near-optimal time samplings for initial data best approximation
• On heat conduction in materials with memory
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