Numerical Continuation Method for Nonlinear System of Scalar and Functional Equations

Autor:	G. V. Paradezhenko, B. I. Reser, Nikolai B. Melnikov
Rok vydání:	2020
Předmět:	010101 applied mathematics Computational Mathematics Nonlinear system Numerical continuation Numerical analysis 010102 general mathematics Scalar (mathematics) Applied mathematics Gauss–Seidel method 0101 mathematics 01 natural sciences Iteration process Mathematics
Zdroj:	Computational Mathematics and Mathematical Physics. 60:404-410
ISSN:	1555-6662 0965-5425
DOI:	10.1134/s0965542520030112
Popis:	We propose a numerical continuation method for a nonlinear system that consists of scalar and functional equations. At each parameter step, we solve the system by a modified Gauss–Seidel method. An advantage of this method is that the system is divided into two parts and each part is solved by a suitable numerical method with a desired precision. We solve the functional equations self-consistently at each step of the iteration process for the system of scalar equations. We apply the proposed method for calculating temperature dependence of magnetic characteristics of metals in the dynamic spin-fluctuation theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c65062ac1e477ec6797fa84182bf4c90 https://doi.org/10.1134/s0965542520030112 Zobrazit plný text záznamu Full text from SpringerLink