On the oscillations of the solutions of the equation
Milena Lekić, Miloje Rajović (2007)
Kragujevac Journal of Mathematics
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Milena Lekić, Miloje Rajović (2007)
Kragujevac Journal of Mathematics
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R. Wong (1982)
Numerische Mathematik
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Singh, Bhagat (1978)
International Journal of Mathematics and Mathematical Sciences
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Laurent Fousse (2007)
RAIRO - Theoretical Informatics and Applications
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Numerical integration is an important operation for scientific computations. Although the different quadrature methods have been well studied from a mathematical point of view, the analysis of the actual error when performing the quadrature on a computer is often neglected. This step is however required for certified arithmetics. We study the Newton-Cotes quadrature scheme in the context of multiple-precision arithmetic and give enough details on the algorithms and the error bounds...
Bailey, David H., Jeyabalan, Karthik, Li, Xiaoye S. (2005)
Experimental Mathematics
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Bartušek, Miroslav (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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