A software package for the numerical integration of ODEs by means of high-order Taylor methods.
Jorba, Àngel, Zou, Maorong (2005)
Experimental Mathematics
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Jorba, Àngel, Zou, Maorong (2005)
Experimental Mathematics
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Zimmer, Michael, Krämer, Walter, Bohlender, Gerd, Hofschuster, Werner (2010)
Serdica Journal of Computing
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The C++ class library C-XSC for scientific computing has been extended with the possibility to compute scalar products with selectable accuracy in version 2.3.0. In previous versions, scalar products have always been computed exactly with the help of the so-called long accumulator. Additionally, optimized floating point computation of matrix and vector operations using BLAS-routines are added in C-XSC version 2.4.0. In this article the algorithms used and their implementations, as well...
Guillaume Melquiond, Sylvain Pion (2007)
RAIRO - Theoretical Informatics and Applications
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Floating-point arithmetic provides a fast but inexact way of computing geometric predicates. In order for these predicates to be exact, it is important to rule out all the numerical situations where floating-point computations could lead to wrong results. Taking into account all the potential problems is a tedious work to do by hand. We study in this paper a floating-point implementation of a filter for the orientation-2 predicate, and how a formal and partially automatized verification...
Konstantinov, Mihail, Petkov, Petko (2011)
Union of Bulgarian Mathematicians
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Михаил М. Константинов, Петко Х. Петков - Разгледани са възможните катастрофални ефекти от неправилното използване на крайна машинна аритметика с плаваща точка. За съжаление, тази тема не винаги се разбира достатъчно добре от студентите по приложна и изчислителна математика, като положението в инженерните и икономическите специалности в никакъв случай не е по-добро. За преодоляване на този образователен пропуск тук сме разгледали главните виновници за загубата на точност при числените компютърни...
Peachey, T.C., Enticott, C.M. (2006)
Experimental Mathematics
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