The Convergence Estimation of the Parallel Algorithm of the Linear Cauchy Problem Solution for Large Systems of First-Order Ordinary Differential Equations Using the Solution as Expansion over Orthogonal Polynomials
- 作者: Moryakov A.V.1
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隶属关系:
- National Research Center Kurchatov Institute
- 期: 卷 82, 编号 8 (2019)
- 页面: 1077-1081
- 栏目: Article
- URL: https://journal-vniispk.ru/1063-7788/article/view/195663
- DOI: https://doi.org/10.1134/S1063778819080131
- ID: 195663
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详细
This paper is devoted to the algorithm of the linear Cauchy problem solution for large systems of first-order ordinary differential equations using parallel calculations. The proof of the convergence of the iteration process using the solution as expansion over orthogonal polynomials for the interval [0,1] is presented. The features of this algorithm are its simplicity, the opportunity to get a solution by parallel calculations, and also the possibility to get a solution for nonlinear problems by changing the operator using the solution from the iteration process.
作者简介
A. Moryakov
National Research Center Kurchatov Institute
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Email: sailor@orc.ru
俄罗斯联邦, Moscow, 123182
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