Padé approximants: Difference between revisions
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'''Padé approximants''' are derived by expanding a function as a ratio of two power series | '''Padé approximants''' are derived by expanding a function as a ratio of two [[power series]] | ||
and determining both the numerator and denominator coefficients. | and determining both the numerator and denominator coefficients. | ||
Padé approximations are usually superior to [[Taylor expansion]]s when functions contain poles, | Padé approximations are usually superior to [[Taylor expansion]]s when functions contain poles, | ||
because the use of rational functions allows them to be well-represented. | because the use of rational functions allows them to be well-represented. | ||
==Applications of Padé approximants in liquid state theory== | ==Applications of Padé approximants in liquid state theory== | ||
#[http://dx.doi.org/10.1063/1.2958914 André O. Guerrero and Adalberto B. M. S. Bassi "On Padé approximants to virial series", Journal of Chemical Physics '''129''' 044509 (2008)] | |||
==See also== | ==See also== | ||
*[http://mathworld.wolfram.com/PadeApproximant.html Padé Approximant -- from Wolfram MathWorld] | *[http://mathworld.wolfram.com/PadeApproximant.html Padé Approximant -- from Wolfram MathWorld] | ||
[[category: mathematics]] | [[category: mathematics]] | ||
Latest revision as of 12:02, 1 August 2008
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Padé approximants are derived by expanding a function as a ratio of two power series and determining both the numerator and denominator coefficients. Padé approximations are usually superior to Taylor expansions when functions contain poles, because the use of rational functions allows them to be well-represented.