Show full list of Invited Contributions to Minisymposia Show talk context (MS09)

__Numerical Solution of Initial and Boundary Value Problems in the open source software R: Packages deTestSet and bvpSolve__

F. Mazzia, J.R. Cash and K. Soetaert

**Abstract**

In this talk we present the R packages deTestSet and bvpSolve for the numerical solution of initial and boundary value problems. The R package deTestSet is derived from the Test Set for Initial Value Problem Solvers available at {http://www.dm.uniba.it/ testset} which includes documentation of the test problems, experimental results from a number of proven solvers, and Fortran subroutines providing a common interface to the defining problem functions. Many of these facilities are now available in the R package deTestSet, which comprises an R interface to the test problems and to most of the Fortran solvers [1, 3, 4]. The R package bvpSolve includes an R interface to well known Fortran solvers and a set of challenges test problems [1, 2].The packages deTestSet and bvpSolve are free software distributed under the GNU General Public License, as part of the \proglang{R} open source software project.

**Bibliography**

[1] K. Soetaert, J.R. Cash and F. Mazzia, Solving Differential Equations in R. Springer, 2012.

[2] K. Soetaert, J.R. Cash and F. Mazzia, bvpSolve: Solvers for Boundary Value Problems of Ordinary Differential Equations. 2013,
http://CRAN.R-project.org/package=bvpSolve. v. 1.2.3.1.

[3] K. Soetaert, J.R. Cash and F. Mazzia, deTestSet: Testset for differential equations. 2011,http://CRAN.R-project.org/package=deTestSet. v. 1.0.

[4] F. Mazzia, J.R. Cash and K. Soetaert, A Test Set for stiff Initial Value Problem Solvers in the open source software R: Package deTestSet, J. Comput. Appl. Math. 236 (16) 2012, pp. 4119-4131