Formal continued fractions solutions of the generalized second order Riccati equations, applications

Numerical Algorithms

Volumn 15, Issue 1, 1997, Pages 111-134

  Arnold, C ^a  

^a AIX MARSEILLE UNIVERSITY   (France)

Author keywords

Nonlinear differential equations; Rational approximation; Riccati equations

Indexed keywords

EID: 27144502122     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1019262520178     Document Type: Article

References (7)

1. W. Fair and Y. Luke, Rational approximations to the solution of the second order Riccati equation, Math. Comp. 20 (1966) 602-605.
2. W.B. Jones and W.J. Thron, Continued Fractions - Analytic Theory and Applications, Encyclopedia of Mathematics and its Applications (Addison-Wesley, 1980).
3. H.T. Davis, Introduction to Nonlinear Differential and Integral Equations (Dover, New York, 1962).
4. H.S. Wall, Analytic Theory of Continued Fractions (Chelsea, New York, 1972).
5. R.D. Jenks and R.S. Sutor, Axiom, the Scientific Computation System, NAG, the Numerical Algorithm Group (Springer, 1972).
6. G.A. Baker, Jr. and P. Graves-Morris, Padé Approximants, Part I: Basic Theory, Encyclopedia of Mathematics and its Applications (Addison-Wesley, 1981).
7. M. Abramovitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970).