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Symbolic evaluation of coefficients in Airytype asymptotic expansions
"... Computer algebra algorithms are developed for evaluating the coefficients in Airytype asymp totic expansions that are obtained from integrals with a large parameter. The coefficients are defined from recursive schemes obtained from integration by parts. An application is given for the Weber par ..."
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Cited by 5 (4 self)
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Computer algebra algorithms are developed for evaluating the coefficients in Airytype asymp totic expansions that are obtained from integrals with a large parameter. The coefficients are defined from recursive schemes obtained from integration by parts. An application is given for the Weber parabolic cylinder function.
Computing the real parabolic cylinder functions U
 a, x), V (a, x). ACM Transactions on Mathematical Software
, 2006
"... Computer Science. It is sponsored by the Netherlands Organisation for Scientific Research (NWO). CWI is a founding member of ERCIM, the European Research Consortium for Informatics and Mathematics. CWI's research has a themeoriented structure and is grouped into four clusters. Listed below are the ..."
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Cited by 1 (0 self)
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Computer Science. It is sponsored by the Netherlands Organisation for Scientific Research (NWO). CWI is a founding member of ERCIM, the European Research Consortium for Informatics and Mathematics. CWI's research has a themeoriented structure and is grouped into four clusters. Listed below are the names of the clusters and in parentheses their acronyms.
1 Symbolic Evaluation of Coefficients in Airytype Asymptotic Expansions
, 2001
"... Computer algebra algorithms are developed for evaluating the coefficients in Airytype asymptotic expansions that are obtained from integrals with a large parameter. The coefficients are defined from recursive schemes obtained from integration by parts. An application is given for the Weber paraboli ..."
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Computer algebra algorithms are developed for evaluating the coefficients in Airytype asymptotic expansions that are obtained from integrals with a large parameter. The coefficients are defined from recursive schemes obtained from integration by parts. An application is given for the Weber parabolic cylinder function.
Parabolic Cylinder Functions:Examples of Error Bounds For Asymptotic Expansions
, 2008
"... Several asymptotic expansions of parabolic cylinder functions are discussed and error bounds for remainders in the expansions are presented. In particular PoincarĂ©type expansions for large values of the argument z and uniform expansions for large values of the parameter are considered. The expansio ..."
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Several asymptotic expansions of parabolic cylinder functions are discussed and error bounds for remainders in the expansions are presented. In particular PoincarĂ©type expansions for large values of the argument z and uniform expansions for large values of the parameter are considered. The expansions are based on those given in [5] and on modifications of these expansions given in [9]. Computer algebra techniques are used for obtaining representations of the bounds and for numerical computations.
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, 804
"... On the reconstruction of blocksparse signals with an optimal number of measurements ..."
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On the reconstruction of blocksparse signals with an optimal number of measurements