@inproceedings{ffefc4586e514476adf794545a303e9d,
title = "Regularization methods of the continuation problem for the parabolic equation",
abstract = "We investigate the one-dimensional continuation problem (the Cauchy problem) for the parabolic equation with the data on the part of the boundary. For numerical solution we apply finite-difference scheme inversion, the singular value decomposition and the gradient method of the minimizing the goal functional. The comparative analysis of numerical methods are presented.",
keywords = "Continuation problem, Numerical methods, Parabolic equation, SOLVE, SIDEWAYS HEAT-EQUATION, QUASI-REVERSIBILITY",
author = "Andrey Belonosov and Maxim Shishlenin",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-319-57099-0_22",
language = "English",
isbn = "9783319570983",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer-Verlag GmbH and Co. KG",
pages = "220--226",
editor = "Dimov and Farago and L Vulkov",
booktitle = "Numerical Analysis and Its Applications - 6th International Conference, NAA 2016, Revised Selected Papers",
address = "Germany",
note = "6th International Conference on Numerical Analysis and Its Applications, NAA 2016 ; Conference date: 14-06-2016 Through 21-06-2016",
}