@TECHREPORT\{IMM2002-0858,
    author       = "P. G. Thomsen",
    title        = "A Generalized Runge-Kutta Method of order three",
    year         = "2002",
    month        = "may",
    keywords     = "ODE's , {GERK,}  Stiff systems, Stability, implementation, {PI-}control",
    pages        = "14",
    number       = "07",
    series       = "",
    institution  = "{IMM,} {DTU}",
    address      = "",
    type         = "",
    url          = "http://www2.compute.dtu.dk/pubdb/pubs/858-full.html",
    abstract     = "The report presents a numerical method for the solution of stiff systems of {ODE'}s and index one {DAE'}s. The type of method is a {4-} stage Generalized Linear Method that is reformulated in a special Semi Implicit Runge Kutta Method of {SDIRK} type.
Error estimation is by imbedding a method of order 4 based on the same stages as the method and the coefficients are selected for ease of implementation.
 The method has 4 stages and the stage-order is 2. For purposes of generating dense output and for initializing the iteration in the internal stages a continuous extension is derived. The method is {A-}stable and we present the region of absolute stability and the order star of the order 3 method that is used for computing the solution."
}