@Article{NMTMA-10-116,
author = {Marijke Grimmonprez, Karel Van Bockstal and Marián Slodička},
title = {Error Estimates for the Time Discretization of a Semilinear Integrodifferential Parabolic Problem with Unknown Memory Kernel},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2017},
volume = {10},
number = {1},
pages = {116--144},
abstract = {<p style="text-align: justify;">This paper is devoted to the study of an inverse problem containing a semilinear integrodifferential parabolic equation with an unknown memory kernel. This equation is accompanied by a Robin boundary condition. The missing kernel can be recovered from an additional global measurement in integral form. In this contribution, an error analysis is performed for a time-discrete numerical scheme based on Backward Euler&#39;s Method. The theoretical results are supported by some numerical experiments.
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issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2017.m1513},
url = {http://global-sci.org/intro/article_detail/nmtma/12339.html}
}