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About the Newton algorithm for non-linear ordinary differential equations
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Source International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1997 international symposium on Symbolic and algebraic computation table of contents
Kihei, Maui, Hawaii, United States
Pages: 298 - 304  
Year of Publication: 1997
ISBN:0-89791-875-4
Authors
J. Della Dora  LMC-IMAG, INPG, 46 Av. F. Viallet, 38031 Grenoble cedex, France
F. Richard-Jung  LMC-IMAG, INPG, 46 Av. F. Viallet, 38031 Grenoble cedex, France
Sponsors
SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 3,   Downloads (12 Months): 17,   Citation Count: 2
Additional Information:

references   cited by   index terms   collaborative colleagues  

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
BOURBAKI, N. Eldments de Mathdmatiques ; Fonctions d'une variable r6elle. Chap. V ; Hermann, Paris, 2~me 6dition.
 
2
CANO, J. An extension of the Newton-Puiseux Polygon construction to give solutions of Pfaffian forms. Annales de l 'Institut Fourier Tome ~(3 (1993), Fascicule 1.
 
3
CANO, J. On the series defined by differential equations, with an extension of the Puiseux Polygon construction to these equations. Analysis 13 (1993), 103-119.
 
4
ERDI~LYI, A. Asymptotic expansions. Dover publications, Inc, New York, 1956.
 
5
FINE, H. On the Fuctions Defined by Differential Equations, with an Extension of the Puiseux Polygon Construction to these Equations. A mer. gour. of Math. XI (1889), 317-328.
 
6
GR{GORI~V, D.Yu SINGER, M. Solving Ordinary Differential Equations in Terms of Series with Real Exponents. Trans A.M.S. (1991).
 
7
TOURNIER, E. Solutions formelles d'dquations diffdrentielles. PhD thesis, Universitd scientifique, mddicale et technologique de Grenoble, France, 1987.

CITED BY  2
Frédéric Beringer , Françoise Jung, Solving “generalized algebraic equations”, Proceedings of the 1998 international symposium on Symbolic and algebraic computation, p.222-227, August 13-15, 1998, Rostock, Germany
F. Aroca , J. Cano , F. Jung, Power series solutions for non-linear PDE's, Proceedings of the 2003 international symposium on Symbolic and algebraic computation, p.15-22, August 03-06, 2003, Philadelphia, PA, USA

INDEX TERMS

Primary Classification:
  G. Mathematics of Computing
  G.4 MATHEMATICAL SOFTWARE
      Subjects: Algorithm design and analysis

Additional Classification:
  F. Theory of Computation
  F.2 ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
      F.2.1 Numerical Algorithms and Problems
          Subjects: Computations on polynomials

  G. Mathematics of Computing
  G.1 NUMERICAL ANALYSIS
      G.1.5 Roots of Nonlinear Equations
          Subjects: Systems of equations; Polynomials, methods for


General Terms:
Algorithms, Measurement, Performance, Theory, Verification

Collaborative Colleagues:
J. Della Dora: colleagues
F. Richard-Jung: colleagues

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