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

This IVP is a stiff system of 20 non-linear Ordinary Differential Equations.

It is the chemical reaction part of the air pollution model developed at The Dutch National Institute of Public Health and Environmental Protection (RIVM) and it is described by Verwer in [Ver94].

The parallel-IVP-algorithm group of CWI contributed this problem to the test set. The software part of the problem is in the file pollu.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 |

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

`method ` |
the solver to use |

`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, |

`printmescd ` |
if TRUE the mixed error significant digits computed using the reference solution at time 1e13 are printed |

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

The default parameters are: k1 = .35, k2 = .266e2, k3 = .123e5, k4 = .86e-3, k5 = .82e-3, k6 = .15e5, k7 = .13e-3, k8 = .24e5,k9 = .165e5, k10 = .9e4, k11 = .22e-1, k12 = .12e5, k13 = .188e1, k14 = .163e5, k15 = .48e7, k16 = .35e-3, k17 = .175e-1, k18 = .1e9, k19 = .444e12, k20 = .124e4, k21 = .21e1, k22 = .578e1, k23 = .474e-1, k24 = .178e4, k25 = .312e1

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

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

[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.

[Ver94] J.G. Verwer. Gauss-Seidel iteration for stiff ODEs from chemical kinetics. SIAM J. Sci.bComput., 15(5):1243 – 1259,

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