deTestSet swMATH ID: 6062 Software Authors: Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline Description: A test set for stiff initial value problem solvers in the open source software R: Package deTestSet. We present the R package deTestSet that includes challenging test problems written as ordinary differential equations, differential algebraic equations of index up to 3 and implicit differential equations. In addition it includes 6 new codes to solve initial value problems. The R package is derived from the test set for initial value problem solvers available at url{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. The package deTestSet is free software which is distributed under the GNU general public license, as part of the R open source software project. Homepage: http://cran.r-project.org/web/packages/deTestSet/ Source Code: https://github.com/cran/deTestSet Dependencies: R (≥ 2.01), ReacTran Keywords: ordinary differential equations; differential algebraic equations; implicit differential equations; initial value problems; test problems; R; numerical examples; R package { t deTestSet}; R open source software project Related Software: RODAS; Matlab; diffEq; BvpSolve; MEBDF; VODE; RootSolve; deSolve; R; Ode15s; LSODE; MATLAB ODE suite; acdc; twpbvpl; twpbvp; bvptwp.m; BiMD; INTLAB; COLSYS; Octave Cited in: 22 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A test set for stiff initial value problem solvers in the open source software R: Package deTestSet. Zbl 1246.65104Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline 2012 all top 5 Cited by 35 Authors 5 Mazzia, Francesca 3 Cash, Jeff R. 3 Estévez Schwarz, Diana 3 Lamour, René 3 Soetaert, Karline 2 Mehrkanoon, Siamak 1 Aceto, Lidia 1 Bu, Sunyoung 1 Calvo, Manuel 1 Ibrahim, Zarina Bibi Binti 1 Izzo, Giuseppe 1 Jackiewicz, Zdzislaw 1 Jay, Laurent-Olivier 1 Kehlet, Benjamin 1 Kroshko, Andrew 1 Lee, June-Yub 1 Logg, Anders 1 Magherini, Cecilia 1 Majid, Zanariah Abdul 1 Métivier, Ludovic 1 Montarnal, Philippe 1 Nagy, Abdelhameed M. 1 Novikov, Anton Evgenyevich 1 Novikov, Evgeniĭ Aleksandrovich 1 Othman, Khairil Iskandar 1 Ponalagusamy, R. 1 Ponnammal, K. 1 Ramos, Higinio 1 Rufai, Mufutau Ajani 1 Rybkov, Mikhail Viktorovich 1 Skvortsov, L. M. 1 Söderlind, Gustaf 1 Spiteri, Raymond J. 1 Steinebach, Gerd 1 Suleiman, Mohamed Bin all top 5 Cited in 13 Serials 4 Journal of Computational and Applied Mathematics 4 Numerical Algorithms 2 Applied Mathematics and Computation 2 BIT 1 Journal of Computational Physics 1 ACM Transactions on Mathematical Software 1 Applied Numerical Mathematics 1 Computational Mathematics and Mathematical Physics 1 Opuscula Mathematica 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 International Journal of Applied and Computational Mathematics 1 Use R! Cited in 5 Fields 19 Numerical analysis (65-XX) 14 Ordinary differential equations (34-XX) 2 Computer science (68-XX) 1 Partial differential equations (35-XX) 1 Fluid mechanics (76-XX) Citations by Year