naa a22 4500 510811744 CHVBK 20180411083445.0 cr unu---uuuuu 180411e20130401xx s 000 0 eng 10.1134/S0081543813020053 doi (NATIONALLICENCE)springer-10.1134/S0081543813020053 On a complete discretization scheme for an ill-posed Cauchy problem in a Banach space [Elektronische Daten] [A. Bakushinskii, M. Kokurin, M. Kokurin] A complete discretization scheme for an ill-posed Cauchy problem for abstract firstorder linear differential equations with sectorial operators in a Banach space is validated. The scheme combines a time semidiscretization of the equations and a finite-dimensional approximation of the spaces and operators. Regularization properties of the scheme are established. Error estimates are obtained in the case of approximate initial data under various a priori assumptions concerning the solution. Pleiades Publishing, Ltd., 2013 Cauchy problem nationallicence ill-posed problem nationallicence discretization nationallicence regularization nationallicence error estimate nationallicence Bakushinskii A. Institute of Systems Analysis, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia aut Kokurin M. Mari State University, pl. Lenina 1, 424001, Yoshkar-Ola, Russia aut Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 280(2013-04-01), 53-65 0081-5438 280<53 2013 280 11501 https://doi.org/10.1134/S0081543813020053 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0081543813020053 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bakushinskii A. Institute of Systems Analysis, Russian Academy of Sciences, pr. 60-letiya Oktyabrya 9, 117312, Moscow, Russia aut NATIONALLICENCE 700 1- Kokurin M. Mari State University, pl. Lenina 1, 424001, Yoshkar-Ola, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 280(2013-04-01), 53-65 0081-5438 280<53 2013 280 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer