Abstract
In this paper we consider the interaction of the operator splitting method and applied numerical method to the solution of the different sub-processes. We show that the well-known fully-discretized numerical models (like Crank-Nicolson method, Yanenko method, sequential alternating Marchuk method, parallel alternating method, etc.), elaborated to the numerical solution of the abstract Cauchy problem can be interpreted in this manner. Moreover, on the base of this unified approach a sequence of the new methods can be defined and investigated.
Supported by Hungarian National Research Founds (OTKA) under grant N. T043765
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Faragó, I. (2005). Splitting Methods and Their Application to the Abstract Cauchy Problems. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_4
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DOI: https://doi.org/10.1007/978-3-540-31852-1_4
Publisher Name: Springer, Berlin, Heidelberg
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