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Computing canonical representatives of regular differential ideals. (English) Zbl 1326.68344

Proceedings of the 2000 international symposium on symbolic and algebraic computation, ISSAC ’00, St. Andrews, Scotland, GB, 2000. New York, NY: ACM Press (ISBN 1-58113-218-2). 38-47 (2000).

MSC:

68W30 Symbolic computation and algebraic computation
12H05 Differential algebra
12H20 Abstract differential equations
13P10 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)

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Maple; DIFFALG
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References:

[1] [1]L.Blum,F.Cuker,M.Shub,andS.Smale.Complexity andRealComputation.Springer­Verlag,1998.
[2] [2]L.Blum,M.Shub,andS.Smale.Onatheoryof omputationandomplexityovertherealnumbers: NP­ompleteness,reursivefuntionsanduniversal mahines.BulletinoftheAmer.Math.So.,21:1.46, 1989.
[3] [3]F.Cuker.Realomputationswithfakenumbers.In J.Wiedermann,P.vanEmdeBoas,andM.Nielsen, editors,ICALP’99,volume1644ofLet.Notesin Comp.Si.,pages55.73.Springer­Verlag,1999.
[4] [4]S.Smale.Someremarksonthefoundationsof numerialanalysis.SIAMReview,32:211.220,1990.
[5] [5]A.M.Turing.Rounding­oferrorsinmatrixproesses. Quart.1.Meh.Appl.Math.,1:287.308,1948. vii
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