Numerical analysis of an ill-posed Cauchy problem for a convection--diffusion equation

The mathematical and numerical properties of an ill-posed Cauchy problem for a convection--diffusion equation are investigated in this study. The problem is reformulated as a Volterra integral equation of the first kind with a smooth kernel. The rate of decay of the singular values of the integral o...

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Bibliographic Details

Published in:	Inverse problems in science and engineering Vol. 15; no. 3; pp. 191 - 211
Main Authors:	Ranjbar, Z., Eldén, L.
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 01-01-2007
Subjects:	Cauchy problem Convection - diffusion equation Ill-posed Inverse problem Singular value decomposition TECHNOLOGY TEKNIKVETENSKAP Volterra integral operator
Online Access:	Get full text
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