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» A Fast Approach to Creative Telescoping
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CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 7 months ago
A Fast Approach to Creative Telescoping
Abstract. In this note we reinvestigate the task of computing creative telescoping relations in differential-difference operator algebras. Our approach is based on an ansatz that e...
Christoph Koutschan
ISSAC
2004
Springer
98views Mathematics» more  ISSAC 2004»
14 years 21 days ago
Symbolic summation with single-nested sum extensions
We present a streamlined and refined version of Karr’s summation algorithm. Karr’s original approach constructively decides the telescoping problem in ΠΣ-fields, a very ge...
Carsten Schneider
ISSAC
2009
Springer
120views Mathematics» more  ISSAC 2009»
14 years 1 months ago
A non-holonomic systems approach to special function identities
We extend Zeilberger’s approach to special function identities to cases that are not holonomic. The method of creative telescoping is thus applied to definite sums or integrals...
Frédéric Chyzak, Manuel Kauers, Brun...
SC
2004
ACM
14 years 23 days ago
Computing - An Intellectual Lever for Multidisciplinary Discovery
: Legend says that Archimedes remarked, on the discovery of the lever, “Give me a place to stand, and I can move the world.” Today, computing pervades all aspects of science an...
Daniel A. Reed
ICDE
2011
IEEE
235views Database» more  ICDE 2011»
12 years 11 months ago
Fast data analytics with FPGAs
—The rapidly increasing amount of data available for real-time analysis (i.e., so-called operational business intelligence) is creating an interesting opportunity for creative ap...
Louis Woods, Gustavo Alonso