On application of iterative Newton-Kantorovich process in approximately-iterative method

• Date: 2016
• Author Affiliations: Я. П. Василенко — Тернопільський національний педагогічний університет
• Keywords: keywords
• Main Authors: Vasylenko, Ya. P., Василенко, Я. П.
• Format: Article
• Language: Ukrainian
• Published: Інститут математики НАН України 2016
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/252
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

In the paper, we design and prove a way to use approximately-iterative method to receive uniform approximations for solutions to stiff problems for ordinary differential equations based on the iterative Newton-Kantorovich process. We receive an estimate for the deviation of approximative polynomials...