@Article{Kroshko:2015:OPN,
  author =       "Andrew Kroshko and Raymond J. Spiteri",
  title =        "{odeToJava}: A {PSE} for the numerical solution of {IVPs}",
  journal =      "{ACM} Transactions on Mathematical Software",
  volume =       "41",
  number =       "3",
  accepted =     "30 June 2014",
  upcoming =     "true", 
  abstract =     "
                  Problem-solving environments (PSEs) offer
                  a powerful yet flexible and convenient
                  means for general experimentation
                  with computational methods, algorithm
                  prototyping, and visualization and
                  manipulation of data. Consequently, PSEs
                  have become the modus operandi of many
                  computational scientists and engineers.
                  However, despite these positive aspects,
                  PSEs typically do not offer the level of
                  granularity required by the specialist or
                  algorithm designer to conveniently modify
                  the details. In other words, the level
                  at which PSEs are black boxes is often
                  still too high for someone interested
                  in modifying an algorithm as opposed to
                  trying an alternative.  In this paper,
                  we describe odeToJava, a Java-based PSE
                  for initial-value problems in ordinary
                  differential equations. odeToJava
                  implements explicit and linearly implicit
                  implicit-explicit Runge–Kutta methods
                  with error and stepsize control and
                  intra-step interpolation (dense output),
                  giving the user control and flexibility
                  over the implementational aspects
                  of these methods. We illustrate the
                  usage and functionality of odeToJava by
                  means of computational case studies of
                  initial-value problems (IVPs).",
}