Stepsize selection in the rigorous defect control of Taylor series methods

Author:

Ernsthausen John M.,Nedialkov Nedialko S.

Funder

Natural Sciences and Engineering Council (NSERC) of Canada

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference21 articles.

1. A Graduate Introduction to Numerical Methods from the Viewpoint of Backward Error Analysis;Corless,2013

2. Guaranteed error bounds for ordinary differential equations;Corliss,1995

3. A new error-control for initial value solvers;Enright;Appl. Math. Comput.,1989

4. Continuous numerical methods for ODEs with defect control;Enright;J. Comput. Appl. Math.,2000

5. Robust and reliable defect control for Runge–Kutta methods;Enright;ACM Trans. Math. Software,2007

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