Publication Cover
Applicable Analysis
An International Journal
Volume 84, 2005 - Issue 8
29
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Recovering the surface temperature history of a two-layer composite body

Pages 833-842 | Accepted 01 Jul 2005, Published online: 18 Aug 2006

References

  • Beck JV Blackwell B St. Clair CR Jr 1985 Inverse Heat Conduction. Ill-posed Problem New York Wiley
  • Carasso , A . 1981 . Determining surface temperatures from interior observations . SIAM Journal on Applied Mathematics , 42 : 558 – 547 .
  • Engl , H and Manselli , P . 1989 . Stability estimates and regularization for an inverse heat conduction problem . Numerical Functional Analysis and Optimization , 10 : 517 – 540 .
  • Le TT Navarro MP 1995 Surface temperature from borehole measurements: regularization and error estimates International Journal of Mathematics and Mathematical Sciences
  • Talenti , G and Vessella , S . 1981 . Note on an ill-posed problem for the heat equation . Journal of the Australian Mathematical Society , 32 : 358 – 368 .
  • Le , TT , Thanh , DN and Tri , PH . 1995 . Surface temperature determination from borehole measurements: a finite slab model . Acta Mathematica Vietnamica , 20 : 193 – 206 .
  • Erdelyi et al 1954 Tables of Integral Transforms 1 New York Mc Graw-Hill
  • Ang DD 1990 On the Backward Parabolic Equation: A Critical Survey of Some Current Methods in Numerical Analysis and Mathematical Modelling Warsaw Banach Center Publications p. 24
  • Ang DD Gorenflo R Le VK Trong DD 2002 Moment Theory and some Inverse Problems in Potential Theory and Heat Conduction Lecture Notes in Mathematics, no. 1792 Heidelberg Springer
  • Gorenflo R Vessella S 1991 Abel Integral Equations Lecture Notes in Mathematics, 1461 Berlin Springer Verlag

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.