Description Usage Arguments Details Value Author(s) References Examples

The probelm describes the behavior of the ring modulator, an electrical circuit.

The type of the problem depends on the parameter Cs. If Cs is not equal 0, then it is a stiff system of 15 non-linear ordinary differential equations.

For Cs = 0 we have a DAE of index 2, consisting of 11 differential equations and 4 algebraic equations. The numerical results presented here refer to Cs = 2 e-12. The problem has been taken from [KRS92], where the approach of Horneber [Hor76] is followed. The parallel-IVP-algorithm group of CWI contributed this problem to the test set. The software part of the problem is in the file ringmod.f available at [MM08].

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

`dyini ` |
the initial derivatives of the state variables of the DE system. |

`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, |

`maxsteps ` |
maximal number of steps per output interval taken by the solver |

`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: M1 = 0.36, M2 = 0.151104, M3 = 0.075552, L1 = 0.15, L2 = 0.30, J1 = 0.002727, J2 = 0.0045339259, EE = 0.20e12, NUE= 0.30, BB = 0.0080, HH = 0.0080, RHO= 7870.0, GRAV= 0.0, OMEGA = 150.0

There are two default initial conditions - set with options(ini=x)

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.

Karline Soetaert <[email protected]>

Francesca Mazzia <[email protected]>

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

[Hor76] E.H. Horneber. Analyse nichtlinearer RLCU-Netzwerke mit Hilfe der gemischten Potentialfunktion mit einer systematischen Darstellung der Analyse nichtlinearer dynamischer Netzwerke. PhD thesis, Universitat Kaiserslautern, 1976.

[KRS92] W. Kampowski, P. Rentrop, and W. Schmidt. Classiffcation and numerical simulation of electric circuits. Surveys on Mathematics for Industry, 2(1):23–65, 1992.

[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

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