naa a22 4500 51081252X CHVBK 20180411083449.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1134/S008154381305012X doi (NATIONALLICENCE)springer-10.1134/S008154381305012X Numerical methods for solving a hereditary equation of hyperbolic type [Elektronische Daten] [V. Pimenov, E. Tashirova] A family of grid methods is constructed for the numerical solution of a wave equation with delay of general form; the methods are based on the idea of separating the current state and the history function. A theorem on the order of convergence of the methods is obtained by means of embedding into a general difference scheme with aftereffect. Results of calculating test examples with constant and variable delays are presented. Pleiades Publishing, Ltd., 2013 numerical methods nationallicence wave equation nationallicence delay nationallicence difference schemes nationallicence interpolation nationallicence extrapolation nationallicence order of convergence nationallicence Pimenov V. Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, 620000, Yekaterinburg, Russia aut Tashirova E. Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, 620000, Yekaterinburg, Russia aut Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 281(2013-06-01), 126-136 0081-5438 281<126 2013 281 11501 https://doi.org/10.1134/S008154381305012X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S008154381305012X text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Pimenov V. Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, 620000, Yekaterinburg, Russia aut NATIONALLICENCE 700 1- Tashirova E. Institute of Mathematics and Computer Science, Ural Federal University, pr. Lenina 51, 620000, Yekaterinburg, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 281(2013-06-01), 126-136 0081-5438 281<126 2013 281 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer