Picard iteration-based variable-order integrator with dense output employing algorithmic differentiation

Author:

Schaumburg Herman D.ORCID,Al Marzouk Afnan,Erdelyi Bela

Funder

Nuclear Physics

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference25 articles.

1. Aarseth, S.: Gravitational N-body Simulations: Tools and Algorithms. Cambridge University Press, Cambridge (2003). ISBN: 0-521-43272-3

2. Abeyratne, S., Erdelyi, B., Schaumburg, H.D.: A novel code with high-order adaptive dynamics to solve the N-body problem. In: Proceedings of 54Th ICFA, pp. 70–73. JACoW (2015)

3. Al Marzouk, A., Erdelyi, B.: Numerical integrator for Coulomb collisions. In: Proceedings of NAPAC, pp. 204–206. JACoW (2013)

4. Berz, M.: Modern map methods in particle beam physics. Academic Press, London (1999)

5. Braun, M.: Differential Equations and Their Applications, 3rd edn., pp 67–80. Springer, New York (1983). ISBN: 0-387-90806-4

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