Sequences, wedges and associated sets of complex numbers
Daniel Hershkowitz, Hans Schneider (1988)
Czechoslovak Mathematical Journal
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Daniel Hershkowitz, Hans Schneider (1988)
Czechoslovak Mathematical Journal
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Gelisken, Ali, Cinar, Cengiz, Yalcinkaya, Ibrahim (2008)
Discrete Dynamics in Nature and Society
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Nicolas Brisebarre, Jean-Michel Muller (2007)
RAIRO - Theoretical Informatics and Applications
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We explicit the link between the computer arithmetic problem of providing correctly rounded algebraic functions and some diophantine approximation issues. This allows to get bounds on the accuracy with which intermediate calculations must be performed to correctly round these functions.
Yalcinkaya, Ibrahim, Cinar, Cengiz, Gelisken, Ali (2010)
Discrete Dynamics in Nature and Society
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Gelisken, Ali, Cinar, Cengiz, Karatas, Ramazan (2008)
Advances in Difference Equations [electronic only]
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Jan W. Cholewa, Aníbal Rodríguez-Bernal (2014)
Mathematica Bohemica
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).