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|The package implements the Prelle-Singer 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, “
Rupak Majumdar, Paulo Tabuada - 2009 - Preview
|Duarte, L., Duarte, S., da Mota, L., Skea, J.: An Extension of the Prelle-Singer |
Method and a Maple Implementation. Computer Physics Communications 144(1)
, 46–62 (2002) 9. Frehse, G.: PHAVer: Algorithmic Verification of Hybrid Systems
Gopal Adak and Rahul Banerjee - 2014 - Full view
|3.1 Prelle-Singer 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 ...
|using Grdbner basis method, algorithms for analytical integration based on the |
Risch-Norman method, and Prelle-Singer algorithms for solving ordinary
differential equations. The success of earlier numerical languages, such as
Fortran, would ...
|The basis of such methods, and the program DESIR developed by Della Dora |
and colleagues  is described in . ...  R. Shtokhamer, "Solving first order
differential equations using the Prelle-Singer algorithm", Technical report 88-09,
|Conclusion In this paper, we have analysed why the PS method, which is |
designed to deal with the first-order ordinary ... 279 215  Shtokhamer R 1 988
Solving first order differential equations using the Prelle-Singer algorithm
|... 18, 376 Melnikov integral, 336 Melnikov vector, 351 Melnikov's method, 361 |
Meromorphic function, 109, 313 Method of ... Poisson 's theorem, 305 Prelle-
Singer algorithm, 57 Prelle-Singer's theorem, 66 Principal branch, 210 Puiseux
T. E. Simos, George Maroulis - 2004 - Snippet view - More editions
|References  M Prelle and M Singer, Elementary first integral of differential |
equations. Trans. ...  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 ...
|Yiu-Kwong 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 three-dimensional dynamical systems, Phys. Lett.
| M. J. Prelle and M. F. Singer, “Elementary First Integrals of Differential |
Equations,” Trans. Amer, Math. Soc., 279, No. 1, 1983. . P. Schmidt, “
Substitution Methods for the Automatic Symbolic Solution of Differential
Equations of First Order ...