A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equations-Reference-Cited by-同舟云学术

A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equations

Published:2001 Issue: Volume: Page:219-263
ISSN:
Container-title:Perspectives on Enclosure Methods
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Author:

Nedialkov Nedialko S.,Jackson Kenneth R.

Publisher

Springer Vienna

Link

http://link.springer.com/content/pdf/10.1007/978-3-7091-6282-8_13.pdf

Reference26 articles.

1. G. Alefeld and J. Herzberger. Introduction to Interval Computations. Academic Press, New York, 1983.

2. U. M. Ascher and L. R. Petzold. Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. SIAM, Philadelphia, 1998.

3. C. Barbăroşie. Reducing the wrapping effect. Computing, 54(4):347–357, 1995.

4. M. Berz and K. Makino. Verified integration of ODEs and ßows using differential algebraic methods on high-order Taylor models. Reliable Computing, 4:361–369, 1998.

5. P. Eijgenraam. The Solution of Initial Value Problems Using Interval Arithmetic. Mathematical Centre Tracts No. 144. Stichting Mathematisch Centrum, Amsterdam, 1981.

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