Reducing the truncation error in Taylor model multiplication

Author:

Bünger Florian

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference19 articles.

1. Beckermann, B., Filip, S., Nakatsukasa, Y., Trefethen, L.N.: Rational minimax approximation via adaptive barycentric representations. SIAM J. Sci. Comput. 40(4), A2427–A2455 (2018)

2. Berz, M., et al.: The COSY INFINITY web page,.https://www.bmtdynamics.org/index_cosy.htm

3. Berz, M., Makino, K.: Suppression of the wrapping effect by Taylor model-based verified integrators: long-term stabilization by preconditioning. Int. J. Differ. Equ. 10(4), 105–136 (2005)

4. Berz, M., Makino, K.: Rigorous integration of flows and ODEs using Taylor models. Proceedings of the 2009 conference on symbolic numeric computation, 79–84 (2009). https://doi.org/10.1145/1577190.1577206

5. Bilotta, G.: Self-verified extension of affine arithmetic to arbitrary order. Le Matematiche 63(1), 15–30 (2008)

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