@Article{         Rentrop_1989aa,
  abstract      = {Summary Two Rosenbrock-Wanner type methods for the numerical treatment of differential-algebraic equations are presented. Both methods possess a stepsize control and an index-1 monitor. The first method DAE34 is of order (3)4 and uses a full semi-implicit Rosenbrock-Wanner scheme. The second method RKF4DA is derived from the Runge-Kutta-Fehlberg 4(5)-pair, where a semi-implicit Rosenbrock-Wanner method is embedded, in order to solve the nonlinear equations. The performance of both methods is discussed in artificial test problems and in technical applications.},
  author        = {Rentrop, Peter and Roche, Michel and Steinebach, Gerd},
  doi           = {10.1007/BF01398915},
  file          = {Rentrop_1989aa.pdf},
  journal       = {Numerische Mathematik},
  keywords      = {ode,dae,numerics,adaptivity,rosenbrock},
  langid        = {english},
  month         = sep,
  number        = {5},
  pages         = {545--563},
  title         = {The application of Rosenbrock-Wanner type methods with stepsize control in differential-algebraic equations},
  volume        = {55},
  year          = {1989},
  shortjournal  = {Numer. Math.}
}

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