Solving Differential-Algebraic Equations by Taylor Series (I): Computing Taylor Coefficients-Reference-Cited by-同舟云学术

Solving Differential-Algebraic Equations by Taylor Series (I): Computing Taylor Coefficients

Published:2005-09 Issue:3 Volume:45 Page:561-591
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Nedialkov Nedialko S.,Pryce John D.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/content/pdf/10.1007/s10543-005-0019-y.pdf

Reference31 articles.

1. R. Barrio, Performance of the Taylor series method for ODEs/DAEs, Appl. Math. Comput., 163 (2005), pp. 525–545.

2. R. Barrio, F. Blesa, and M. Lara, VSVO formulation of the Taylor method for the numerical solution of ODEs, preprint, University of Zaragoza, submitted for publication, 2005.

3. D. Barton, I. M. Willers, and R. V. M. Zahar, The automatic solution of ordinary differential equations by the method of Taylor series, Comput. J., 14 (1970), pp. 243–248.

4. C. Bendsten and O. Stauning, TADIFF, a flexible C++ package for automatic differentiation using Taylor series, Technical Report 1997-x5-94, Department of Mathematical Modelling, Technical University of Denmark, DK-2800, Lyngby, Denmark, April 1997.

5. M. Berz, COSY INFINITY version 8 reference manual, Technical Report MSUCL–1088, National Superconducting Cyclotron Lab., Michigan State University, East Lansing, Mich., 1997.

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