High-order stiff ODE solvers via automatic differentiation and rational prediction-Reference-Cited by-同舟云学术

High-order stiff ODE solvers via automatic differentiation and rational prediction

Published:1997 Issue: Volume: Page:114-125
ISSN:0302-9743
Container-title:Lecture Notes in Computer Science
language:
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Author:

Corliss G. F.,Griewank A.,Henneberger P.,Kirlinger G.,Potra F. A.,Stetter H. J.

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/3-540-62598-4_85.pdf

Reference13 articles.

1. Christianson, B.: Reverse accumulation and accurate rounding error estimates for Taylor series coefficients. Technical Report No.239, Hatfield Polytechnic, July 1991

2. Chang, Y.F., Corliss, G.: Solving ordinary differential equations using Taylor series. ACM Trans. Math. Software 8 (1982) 114–144

3. Hairer, E., Norsett, S.P., Wanner, G.: Solving Ordinary Differential Equations I. Springer-Verlag, Berlin, 1987

4. Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II. Springer-Verlag, Berlin, 1991

5. Kirlinger, G., Corliss, G.F.: On Implicit Taylor Series Methods for Stiff ODEs. in Computer Arithmetic and Enclosure Methods, ed. L. Atanassova and J. Herzberger, North Holland, Amsterdam, London, New York, Tokyo, (1992) 371–380

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