verry.integrate.doubleton

class verry.integrate.doubleton(tracker=None)

Bases: TrackerFactory, Generic

Factory for creating Tracker using doubleton method.

This tracker is suitable for large initial intervals.

This is an implementation of Evaluation 4 in [1], and the name “doubleton” is from [2].

Parameters:

tracker (TrackerFactory | Callable[[], TrackerFactory], optional) – The default is qr.

References

[1]

R. J. Lohner, “Enclosing the Solutions of Ordinary Initial and Boundary Value Problem,” in Computerarithmetic, E. Kaucher, U. Kulisch, and Ch. Ullrich, Eds. Stuttgart, Germany: B. G. Teubner, 1987, pp. 225–286.

[2]

M. Mrozek and P. Zgliczyński, “Set arithmetic and the enclosing problem in dynamics,” Ann. Pol. Math., vol. 74, pp. 237–259, 2000, doi:10.4064/ap-74-1-237-259.

create(x0)

Create Tracker.

Parameters:

x0 (IntervalMatrix, shape (n,)) – Initial values.

Return type:

Tracker