Additive and iterative operator splitting methods and their numerical investigation

Authors:
István Faragó;Boglárka Gnandt;Ágnes Havasi
Affiliations:
Eötvös Loránd University, Pázmány P. s. 1/c, 1117 Budapest, Hungary;Eötvös Loránd University, Pázmány P. s. 1/c, 1117 Budapest, Hungary;Eötvös Loránd University, Pázmány P. s. 1/c, 1117 Budapest, Hungary
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

As an alternative to the classical splitting methods, two new splitting schemes have been developed recently: the additive and the iterative splitting. In this paper we discuss the most important properties, the advantages and disadvantages of these schemes, and investigate their performance on simple examples as well as on more complex physical models.