Параллельные коллокационные методы решения задачи Коши для обыкновенных дифференциальных уравнений

Abstract

The article contains generalization of results of researches [1-6], devoted the parallel methods of numeral decision the Cauchy’s problem for the systems of usual differential equations and is continuation of the before published works [7-13]. The integro-interpolation method for collocation’s block difference one-step and multistep formulas is considerated. Offered approach is universal for the receipt of different difference schemes. In this article a proof of convergence and stability for k- point block methods is adduced.