R package deSolve: General solvers for initial value problems of ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential equations (DDE) , Functions that solve initial value problems of a system of first-order ordinary differential equations (ODE), of partial differential equations (PDE), of differential algebraic equations (DAE), and of delay differential equations. The functions provide an interface to the FORTRAN functions lsoda, lsodar, lsode, lsodes of the ODEPACK collection, to the FORTRAN functions dvode and daspk and a C-implementation of solvers of the Runge-Kutta family with fixed or variable time steps. The package contains routines designed for solving ODEs resulting from 1-D, 2-D and 3-D partial differential equations (PDE) that have been converted to ODEs by numerical differencing. (Source:

References in zbMATH (referenced in 53 articles , 1 standard article )

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  1. Nakaoka, Shinji; Inaba, Hisashi: Demographic modeling of transient amplifying cell population growth (2014)
  2. Nash, John C.: Nonlinear parameter optimization using R tools (2014)
  3. Rolf Turner; Pradeep Banerjee; Rayomand Shahlori: Optimal Asset Pricing (2014) not zbMATH
  4. Xiao, Xiao; Fussmann, Gregor F.: Armstrong-McGehee mechanism revisited: competitive exclusion and coexistence of nonlinear consumers (2013)
  5. 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)
  6. Soetaert, Karline; Cash, Jeff; Mazzia, Francesca: Solving differential equations in R. (2012)
  7. Marijke Welvaert; Joke Durnez; Beatrijs Moerkerke; Geert Berdoolaege; Yves Rosseel: neuRosim: An R Package for Generating fMRI Data (2011) not zbMATH
  8. Soetaert, Karline; Petzoldt, Thomas: Solving ODEs, DAEs, DDEs and PDEs in R (2011)
  9. Titman, Andrew C.: Flexible nonhomogeneous Markov models for panel observed data (2011)
  10. Karline Soetaert; Thomas Petzoldt: Inverse Modelling, Sensitivity and Monte Carlo Analysis in R Using Package FME (2010) not zbMATH
  11. Karline Soetaert; Thomas Petzoldt; R. Setzer: Solving Differential Equations in R: Package deSolve (2010) not zbMATH
  12. McLean, Alison K.; Luciani, Fabio; Tanaka, Mark M.: Trade-offs in resource allocation in the intracellular life-cycle of hepatitis C virus (2010)
  13. Stevens, M. Henry H.: A primer of ecology with R. (2009)