Asymptotic decomposition of linear singularly perturbed multiscale systems

Ihor Cherevko, Oleksandra Osypova
2015 Miskolc Mathematical Notes  
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.
doi:10.18514/mmn.2015.1627 fatcat:tzxvcpuzrvdofniibzfrw4naaa