By Sergey Abrahamyan, Melsik Kyureghyan (auth.), Vladimir P. Gerdt, Wolfram Koepf, Ernst W. Mayr, Evgenii V. Vorozhtsov (eds.)

This e-book constitutes the refereed complaints of the thirteenth overseas Workshop on desktop Algebra in clinical Computing, CASC 2011, held in Kassel, Germany, in September 2011. The 26 complete papers integrated within the e-book have been rigorously reviewed and chosen from a variety of submissions. The articles are equipped in topical sections at the improvement of item orientated computing device algebra software program for the modeling of algebraic constructions as typed items; matrix algorithms; the research through desktop algebra; the improvement of symbolic-numerical algorithms; and the applying of symbolic computations in utilized difficulties of physics, mechanics, social technological know-how, and engineering.

**Read Online or Download Computer Algebra in Scientific Computing: 13th International Workshop, CASC 2011, Kassel, Germany, September 5-9, 2011. Proceedings PDF**

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**Additional info for Computer Algebra in Scientific Computing: 13th International Workshop, CASC 2011, Kassel, Germany, September 5-9, 2011. Proceedings**

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R, the polynomial M (x, y, t) is delineable over Xj,i . The real roots of M (x, y, t) over Xj,i are denoted as Y1,j , . . , Y ,j ; the graphs of these functions are denoted Y1,j , . . , Y ,j . Observe that these are 1-dimensional subsets of R3 . (3) For k = 0, . . , r, the polynomial M (x, y, t) is delineable over Sk,i . The real roots of M (x, y, t) over Sk,i are denoted as V1,k , . . , Vs,k ; the graphs of these functions are denoted V1,k , . . , Vs,k . These are 2-dimensional subsets of R3 .

On the Moser- and super-reduction algorithms of systems of linear diﬀerential equations and their complexity. J. Symbolic Computation 44, 1017–1036 (2009) 11. : The ISOLDE package. net 12. : Theory of Ordinary Diﬀerential Equations. McGrawHill, New York (1955) 13. : Formes super–irr´eductibles des syst`emes diﬀ´erentiels lin´eaires. Numer. Math. 50, 429–449 (1987) 14. : On the identiﬁcation and stability of formal invariants for singular diﬀerential equations. Linear Algebra and Its Applications 72, 1–46 (1985) 15.

E. isotopic to it). We do not address here the problem of computing this simplicial complex; for this purpose we refer to existing papers in the literature ([1], [5], [6], [7], [11]). Otherwise, our problem here is the decomposition of the parameter space (R, in this case) into ﬁnitely many pieces which are either points or intervals, such that over each piece, the topology of the surface is invariant. The main ingredient is the notion of delineability, used also in [5], [8], among others, for computing a triangulation of a semi-algebraic set in arbitrary dimension.