Future-sequential regularization methods for ill-posed Volterra equations. Applications to the inverse heat conduction problem

DOI10.1006/JMAA.1995.1368zbMath0851.65094OpenAlexW184083747MaRDI QIDQ1910013

Patricia K. Lamm

Publication date: 26 November 1996

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

Full work available at URL: https://doi.org/10.1006/jmaa.1995.1368

zbMATH Keywords

inverse heat conductionfuture-sequential regularization methodsill-posed Volterra equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Heat equation (35K05) Inverse problems for PDEs (35R30) Numerical methods for ill-posed problems for integral equations (65R30) Volterra integral equations (45D05) Inverse problems in thermodynamics and heat transfer (80A23)

Related Items (8)

On the balancing principle for some problems of numerical analysis ⋮ Local regularization methods for inverse Volterra equations applicable to the structure of solid surfaces ⋮ Local regularization of nonlinear Volterra equations of Hammerstein type ⋮ Local regularization of linear inverse problems via variational filtering ⋮ Novel gradient‐based methods for heat flux retrieval ⋮ LOCAL REGULARIZATION METHODS FOR THE STABILIZATION OF LINEAR ILL-POSED EQUATIONS OF VOLTERRA TYPE ⋮ Control and estimation of the boundary heat transfer function in Stefan problems ⋮ On-Line Reconstruction of Inputs to Distributed Parameter Systems with Accessible Sources

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