@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 = {

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's Method. The theoretical results are supported by some numerical experiments.                  

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2017.m1513}, url = {http://global-sci.org/intro/article_detail/nmtma/12339.html} }