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{ 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. (Source:

References in zbMATH (referenced in 22 articles , 1 standard article )

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  1. Steinebach, Gerd: Improvement of Rosenbrock-Wanner method RODASP. Enhanced coefficient set and MATLAB implementation (2020)
  2. Ramos, Higinio; Rufai, M. A.: Third derivative modification of (k)-step block Falkner methods for the numerical solution of second order initial-value problems (2018)
  3. Izzo, Giuseppe; Jackiewicz, Zdzislaw: Generalized linear multistep methods for ordinary differential equations (2017)
  4. Kehlet, Benjamin; Logg, Anders: A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations (2017)
  5. Novikov, Anton Evgenyevich; Novikov, Eugeny Alexandrovich; Rybkov, Mikhail Viktorovich: An algorithm of variable structure based on three-stage explicit-implicit methods (2017)
  6. Estévez Schwarz, Diana; Lamour, René: Diagnosis of singular points of structured DAEs using automatic differentiation (2015)
  7. Kroshko, Andrew; Spiteri, Raymond J.: odeToJava: a PSE for the numerical solution of IVPS (2015)
  8. Mazzia, Francesca; Nagy, A. M.: A new mesh selection strategy with stiffness detection for explicit Runge-Kutta methods (2015)
  9. Ponalagusamy, R.; Ponnammal, K.: A parallel fourth order Rosenbrock method: construction, analysis and numerical comparison (2015)
  10. Skvortsov, L. M.: A fifth order implicit method for the numerical solution of differential-algebraic equations (2015)
  11. Söderlind, Gustaf; Jay, Laurent; Calvo, Manuel: Stiffness 1952--2012: sixty years in search of a definition (2015)
  12. Bu, Sunyoung; Lee, June-Yub: An enhanced parareal algorithm based on the deferred correction methods for a stiff system (2014)
  13. Estévez Schwarz, Diana; Lamour, René: Projector based integration of DAEs with the Taylor series method using automatic differentiation (2014)
  14. Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline: Solving boundary value problems in the open source software R: package bvpSolve (2014)
  15. Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline: A test set for stiff initial value problem solvers in the open source software R: Package \textbfdeTestSet (2012)
  16. Mehrkanoon, S.; Majid, Z. A.; Suleiman, M.; Othman, K. I.; Ibrahim, Z. B.: 3-point implicit block multistep method for the solution of first order ODEs (2012)
  17. Métivier, Ludovic; Montarnal, Philippe: Strategies for solving index one DAE with non-negative constraints: Application to liquid-liquid extraction (2012)
  18. Soetaert, Karline; Cash, Jeff; Mazzia, Francesca: Solving differential equations in R. (2012)
  19. Mehrkanoon, Siamak: A direct variable step block multistep method for solving general third-order ODEs (2011)
  20. Aceto, L.; Magherini, C.: On the relations between B(_2)VMs and Runge-Kutta collocation methods (2009)

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