 About 230 results  books.google.com The package implements the PrelleSinger method in its original form together
with its extension to include integrating factors in terms of elementary functions.”
The news reporters obtained a quote from the research from State University, “
The ... 

 books.google.com Rupak Majumdar, Paulo Tabuada  2009  Preview Duarte, L., Duarte, S., da Mota, L., Skea, J.: An Extension of the PrelleSinger
Method and a Maple Implementation. Computer Physics Communications 144(1)
, 46–62 (2002) 9. Frehse, G.: PHAVer: Algorithmic Verification of Hybrid Systems
... 

 books.google.com Gopal Adak and Rahul Banerjee  2014  Full view 3.1 PrelleSinger method (1983) Prelle and Singer proved that if the given planar
system has a solution expressible in terms of elementary functions then it can be
found by the procedure given below. (1) Let N = 1 (2) Find all the Darboux ... 

 books.google.com [16] Shtokhamer, R. Solving first order differential equations using the Prelle
Singer algorithm. Tech. Rep. ... The method of undetermined coefficients can be
used to solve this type of equation after a polynomial has been factored.
Procedure ... 

 books.google.com using Grdbner basis method, algorithms for analytical integration based on the
RischNorman method, and PrelleSinger algorithms for solving ordinary
differential equations. The success of earlier numerical languages, such as
Fortran, would ... 

 books.google.com The construction of Darboux polynomials given in Section 2.5.1 gives an explicit
but not decidable way of building logarithmic first integrals for planar vector fields
specified in the PrelleSinger theorem. It was also shown by Prelle and Singer ... 

 books.google.com The basis of such methods, and the program DESIR developed by Della Dora
and colleagues [32] is described in [24]. ... [1] R. Shtokhamer, "Solving first order
differential equations using the PrelleSinger algorithm", Technical report 8809,
... 

 books.google.com Conclusion In this paper, we have analysed why the PS method, which is
designed to deal with the firstorder ordinary ... 279 215 [7] Shtokhamer R 1 988
Solving first order differential equations using the PrelleSinger algorithm
Technical ... 

 books.google.com YiuKwong Man and M.A.H. Maccallum, A rational approach to the Prelle–Singer
algorithm, J. Symbolic Comput. ... J.M. Strelcyn and S. Wojciechowski, A method
of finding integrals for threedimensional dynamical systems, Phys. Lett. 

 books.google.com T. E. Simos, George Maroulis  2004  Snippet view  More editions References [1] M Prelle and M Singer, Elementary first integral of differential
equations. Trans. ... [4] L.G.S. Duarte, S.E.S.Duarte and L.A.C.P. da Mora, A
method to tackle first order ordinary differential equations with Liouvillian
functions in the ... 

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