Sunday, April 15, 2012
Floating sequences
Continuing their work on generic differential equation solving in Scala Veronica and Jan have made sequences of Floating values an instance of Floating. This makes it possible to use algorithms for solving linear ODEs to be applied to higher order ODEs by translating them to systems of linear ODEs. When the original solver algorithm is written polymorphically over the real number type the extension comes at no extra cost as the Floating instance to be used is obtained from the code for the field and initial condition of the system of ODEs. Coming work aims at completing the supported set of Interval Floating methods and adding Floating instances for Floating-valued functions to the framework.