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

• Дата: 1994
• Автори: Solodkii, S. G., Солодкий, С. Г.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 1994
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/5592
• Назва журналу: 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...