Translated from the Russian edition of 1988. The author begins by considering sets of matrices which accompany singular systems. The important results presented in the first chapter provide an algebraic apparatus for use in the following chapters. The author then identifies classes of singular systems and develops and substantiates difference schemes for them. General and effective ways to construct both analytical and stable numerical solutions of singular systems are outlined. Annotation copyright Book News, Inc. Portland, Or.
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Presents new information on the application of theory in constructing stable differences and other approximations to singular systems of ordinary differential equations. Includes a study of pairs of triplets of matrices accompanying singular systems, classes of singular systems, derivation of formulae, an account of the present status of the problem and a review of the latest publications.
Text: English (translation)
Original Language: Russian
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