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 18 articles )

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  1. Salehi, Younes; Schiesser, William E.: Numerical integration of space fractional partial differential equations. Vol. 2: Applications from classical integer PDEs (2018)
  2. Howard, James P. II: Computational methods for numerical analysis with R (2017)
  3. Lee, Junehyuk; Adler, Frederick R.; Kim, Peter S.: A mathematical model for the macrophage response to respiratory viral infection in normal and asthmatic conditions (2017)
  4. Miller, Anna K.; Munger, Karl; Adler, Frederick R.: A mathematical model of cell cycle dysregulation due to human papillomavirus infection (2017)
  5. Robert Pearce and R. Setzer and Cory Strope and Nisha Sipes and John Wambaugh: httk: R Package for High-Throughput Toxicokinetics (2017)
  6. Beams, Alexander B.; Toth, Damon J.A.; Khader, Karim; Adler, Frederick R.: Harnessing intra-host strain competition to limit antibiotic resistance: mathematical model results (2016)
  7. Philipp H Boersch-Supan, Leah R Johnson: deBInfer: Bayesian inference for dynamical models of biological systems in R (2016) arXiv
  8. Birch, Michael; Bolker, Benjamin M.: Evolutionary stability of minimal mutation rates in an evo-epidemiological model (2015)
  9. Christopher M. Moore, Christopher R. Stieha, Ben C. Nolting, Maria K. Cameron, Karen C. Abbott: QPot: An R Package for Stochastic Differential Equation Quasi-Potential Analysis (2015) arXiv
  10. Wentz, J.M.; Vainstein, V.; Oldson, D.; Gluzman-Poltorak, Z.; Basile, L.A.; Stricklin, D.: Mathematical model of radiation effects on thrombopoiesis in rhesus macaques and humans (2015)
  11. Bloomfield, Victor A.: Using R for numerical analysis in science and engineering (2014)
  12. Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline: Solving boundary value problems in the open source software R: package bvpSolve (2014)
  13. Nakaoka, Shinji; Inaba, Hisashi: Demographic modeling of transient amplifying cell population growth (2014)
  14. Nash, John C.: Nonlinear parameter optimization using R tools (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 \bfdeTestSet (2012)
  16. Soetaert, Karline; Cash, Jeff; Mazzia, Francesca: Solving differential equations in R. (2012)
  17. Titman, Andrew C.: Flexible nonhomogeneous Markov models for panel observed data (2011)
  18. Stevens, M. Henry H.: A primer of ecology with R. (2009)