M. N. Demchenko, N. V. Filimonenkova, “Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment)”, Zap. Nauchn. Sem. POMI, 2016, Volume 451,Pages <nobr>43

This article is cited in 2 papers

Regularization of an ill-posed Cauchy problem for the wave equation (numerical experiment)

M. N. Demchenko^a, N. V. Filimonenkova^b

^a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
^b Peter the Great St. Petersburg Polytechnic University, St. Petersburg, Russia

Abstract: We discuss the results of numerical experiment of solving an ill-posed Cauchy problem for the wave equation. We give the instrumental function for the regularizing algorithm applied here and carry out the analysis of stability.

Key words and phrases: ill-posed Cauchy problem, wave equation, regularizing algorithm.

UDC: 517.951

Received: 31.10.2016