Optimization of algorithms for the approximate solution of the Volterra equations with infinitely differentiable kernels

• Date: 1994
• Main Authors: Solodkii, S. G., Солодкий, С. Г.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5592
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

For the Volterra equations with analytic kernels, we establish the exact power order of complexity of their approximate solutions and show that the optimal power order is realized by the method of simple iterations based on the use of information in the form of the values of kernels and free terms a...