17. Inverse Problems in Heat Transfer

  1. W. J. Minkowycz2,
  2. E. M. Sparrow3 and
  3. J. Y. Murthy4
  1. Nicholas Zabaras

Published Online: 21 JAN 2009

DOI: 10.1002/9780470172599.ch17

Handbook of Numerical Heat Transfer, Second Edition

Handbook of Numerical Heat Transfer, Second Edition

How to Cite

Zabaras, N. (2000) Inverse Problems in Heat Transfer, in Handbook of Numerical Heat Transfer, Second Edition (eds W. J. Minkowycz, E. M. Sparrow and J. Y. Murthy), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470172599.ch17

Editor Information

  1. 2

    University of Illinois at Chicago, Department of Mechanical and Industrial Engineering (MC 251), 842 West Taylor Street, Chicago, IL 60607-7022, USA

  2. 3

    University of Minnesota-Twin Cities, Department of Mechanical Engineering, 111 Church Street, S.E., Minneapolis, MN 55455, USA

  3. 4

    Purdue University, School of Mechanical Engineering, 1288 Mechanical Engineering Building, West Lafavette, IN 47907-1288, USA

Author Information

  1. Cornell University, Sibley School of Mechanical & Aerospace Engineering, Materials Process Design and Control Laboratory, 188 Frank H.T. Rhodes Hall, Ithaca, NY 14853-3801, USA

Publication History

  1. Published Online: 21 JAN 2009
  2. Published Print: 22 DEC 2000

ISBN Information

Print ISBN: 9780471348788

Online ISBN: 9780470172599



  • heat-conduction problem;
  • infinite-dimensional approach;
  • maximum likelihood estimator (MLE) framework;
  • probability density function (PDF);
  • polynomial chaos expansion (PCE)


This chapter contains sections titled:

  • Introduction

  • The Inverse Heat-Conduction Problem – A Spectral Stochastic Approach

  • A Bayesian Approach to the Inverse Heat-Conduction Problem

  • Acknowledgments

  • Nomenclature

  • References