MMN-1627

Asymptotic decomposition of linear singularly perturbed multiscale systems

Abstract

We study a scheme which decomposes a singularly perturbed linear system with several small parameters into a block-diagonal form. The algorithm of the scheme contains k steps of a successive splitting based on the integral manifold of quick and slow variables method. The splitting substitution is defined constructively in the form of expansions by powers of small parameters.


Vol. 16 (2015), No. 2, pp. 729-745
DOI: 10.18514/MMN.2015.1627


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