rober

diffeqzoo.ivps.rober(*, initial_values=(1.0, 0.0, 0.0), time_span=(0.0, 100000.0), k1=0.04, k2=30000000.0, k3=10000.0)

Construct the ROBER problem due to Robertson (1966).

The ROBER problem describes the kinetics of an auto-catalytic reaction, and was proposed by Robertson (1966). It was named “ROBER” by Hairer and Wanner (1996).

It is a three-dimensional, stiff initial value problem,

\[\dot u(t) = f(u(t))\]

and a common test problem for numerical solvers for stiff differential equations.

The following bibtex(s) point to the original paper about the ROBER model and the book by Hairer and Wanner. (Source: Google Scholar).

BibTex for Robertson (1966)

@article{robertson1966solution,
    title={The solution of a set of reaction rate equations},
    author={Robertson, HH},
    journal={Numerical Analysis: An Introduction},
    publisher={Academic Press},
    year={1966},
    pages={178-182},
}

BibTex for Hairer and Wanner (1996)

@book{wanner1996solving,
    title={Solving Ordinary Differential Equations II,
    Stiff and Differential-Algebraic Problems},
    author={Hairer, Ernst and Wanner, Gerhard},
    year={1996},
    publisher={Springer}
}