TY - JOUR T1 - Error Estimates for the Time Discretization of a Semilinear Integrodifferential Parabolic Problem with Unknown Memory Kernel AU - Marijke Grimmonprez, Karel Van Bockstal & Marián Slodička JO - Numerical Mathematics: Theory, Methods and Applications VL - 1 SP - 116 EP - 144 PY - 2017 DA - 2017/10 SN - 10 DO - http://doi.org/10.4208/nmtma.2017.m1513 UR - https://global-sci.org/intro/article_detail/nmtma/12339.html KW - AB -

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.