Adaptive mesh selection asymptotically guarantees a prescribed local error for systems of initial value problems
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/article/10.1007/s10444-017-9584-2/fulltext.html
Reference11 articles.
1. Choi, S.T., Ding, Y., Hickernell, F., Tong, X.: Local adaption for approximation and minimization of univariate functions. J. Complex. 40, 17–33 (2017). https://doi.org/10.1016/j.jco.2016.11.005
2. Daun, T.: On the randomized solution of initial value problems. J. Complex. 27, 300–311 (2011)
3. Jackiewicz, Z.: Implementation of DIMSIMs for stiff differential systems. Appl. Numer. Math. 42(1-3), 251–267 (2002)
4. Kacewicz, B.: Adaptive mesh point selection for the efficient solution of scalar IVPs, to appear in Numerical Algorithms (2017). https://doi.org/10.1007/s11075-017-0304-2
5. Kacewicz, B., Przybyowicz, P.: Complexity of the derivative-free solution of systems of IVPs with unknown singularity hypersurface. J. Complex. 31, 75–97 (2015)
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1. On optimal adaptive quadratures for automatic integration;BIT Numerical Mathematics;2021-01-19
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