@Article{van-jcam-289-196-2015,
  author = {K. Van Bockstal and R. H. {De Staelen} and M. Slodicka},
  title = {Identification of a memory kernel in a semilinear
     integrodifferential parabolic problem with applications in heat
     conduction with memory},
  journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS},
  volume = {289},
  pages = {196-207},
  year = {2015},
  entrydate = {2015/12/16},
  abstract = {In this contribution, the reconstruction of a solely
     time-dependent convolution kernel is studied in an inverse problem
     arising in the theory of heat conduction for materials with
     memory. The missing kernel is recovered from a measurement of the
     average of temperature. The existence, uniqueness and regularity
     of a weak solution is addressed. More specific, a new numerical
     algorithm based on Rothe's method is designed. The convergence of
     iterates to the exact solution is shown. (C) 2015 Elsevier B.V.
     All rights reserved.},
}

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