The Method of Weak Approximation and the Construction of the Solution of the Cauchy Problem in Banach Space

N. N. Yanenko
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N. N. Yanenko: U.S.S.R. Academy of Sciences, Siberian Branch Computing Center

Chapter Chapter 10 in The Method of Fractional Steps, 1971, pp 132-150 from Springer

Abstract: Abstract Up to this point the method of fractional steps was considered as a method for the construction of economical difference schemes. Let us now show that the method of fractional steps can also be applied to differential equations. In this case the method can be considered as the method of a weak approximation of special type. We start with the simplest examples.

Keywords: Banach Space; Initial Data; Cauchy Problem; Transfer Operator; Extended System (search for similar items in EconPapers)
Date: 1971
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-65108-3_10

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DOI: 10.1007/978-3-642-65108-3_10

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