Description Usage Arguments Details Value Note Author(s) References Examples

This IVP is a stiff system of 8 non-linear Ordinary Differential Equations.

It was proposed by Schafer in 1975 [Sch75].

The name HIRES was given by Hairer & Wanner [HW96]. It refers to 'High Irradiance RESponse', which is described by this ODE.

The parallel-IVP-algorithm group of CWI contributed this problem to the test set. The software part of the problem is in the file hires.f available at [MM08].

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`yini ` |
the initial (state) values for the DE system. If |

`times ` |
time sequence for which output is wanted; the first
value of |

`atol ` |
absolute error tolerance, either a scalar or a vector, one value for each y. |

`rtol ` |
relative error tolerance, either a scalar or a vector, one value for each y, |

`method ` |
the solver to use |

`parms ` |
list of parameters that overrule the default parameter values |

`printmescd ` |
if TRUE the mixed error significant digits computed using the reference solution at time 321.8122 are printed |

`... ` |
additional arguments passed to the solver . |

The default parameters are: k1 = 1.71, k2 = 0.43, k3 = 8.32, k4 = 0.69, k5 = 0.035, k6 = 8.32, k7 = 280, k8 = 0.69, k9 = 0.69, Oks = 0.0007

A matrix of class `deSolve`

with up to as many rows as elements in
`times`

and as many
columns as elements in `yini`

, plus an additional column (the first)
for the time value.

There will be one row for each element in `times`

unless the
solver returns with an unrecoverable error. If
`yini`

has a names attribute, it will be used to label the columns
of the output value.

This model is implemented in R

Karline Soetaert <[email protected]>

Francesca Mazzia <[email protected]>

http://www.dm.uniba.it/~testset

[Got77] B.A. Gottwald. MISS - ein einfaches Simulations-System fur biologische und chemische Prozesse. EDV in Medizin und Biologie, 3:85-90, 1977.

[HW96] E. Hairer and G. Wanner. Solving Ordinary Differential Equations II: Stiff and Differential- algebraic Problems. Springer-Verlag, second revised edition, 1996.

[MM08] F. Mazzia and C. Magherini. Test Set for Initial Value Problem Solvers, release 2.4. Department of Mathematics, University of Bari and INdAM, Research Unit of Bari, February 2008. Available at http://www.dm.uniba.it/testset.

[Sch75] E. Schafer. A new approach to explain the 'high irradiance responses' of photomorphogenesis on the basis of phytochrome. J. of Math. Biology, 2:41 - 56, 1975.

[SL98] J.J.B. de Swart and W.M. Lioen. Collecting real-life problems to test solvers for implicit differential equations. CWI Quarterly, 11(1):83 - 100, 1998.

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