Email this article Regularization of an Ill-Posed Cauchy Problem for the Wave Equation (Numerical Experiment)
- Authors: Demchenko M.N.1, Filimonenkova N.V.2
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Affiliations:
- St. Petersburg Department of V. A. Steklov Mathematical Institute
- Peter the Great Saint-Petersburg Polytechnic University
- Issue: Vol 226, No 6 (2017)
- Pages: 720-726
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240054
- DOI: https://doi.org/10.1007/s10958-017-3561-7
- ID: 240054
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Abstract
Results of a numerical experiment of solving an ill-posed Cauchy problem for the wave equation are discussed. An instrumental function for the regularizing algorithm applied here is given, and an analysis of stability is carried out.
About the authors
M. N. Demchenko
St. Petersburg Department of V. A. Steklov Mathematical Institute
Author for correspondence.
Email: demchenko@pdmi.ras.ru
Russian Federation, St. Petersburg
N. V. Filimonenkova
Peter the Great Saint-Petersburg Polytechnic University
Email: demchenko@pdmi.ras.ru
Russian Federation, St. Petersburg
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