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. Feng, Wenfeng; Bailey, Richard M.: Unifying relationships between complexity and stability in mutualistic ecological communities (2018)
  2. Rami Yaari; Itai Dattner: simode: R Package for statistical inference of ordinary differential equations using separable integral-matching (2018) arXiv
  3. Salehi, Younes; Schiesser, William E.: Numerical integration of space fractional partial differential equations. Vol. 2: Applications from classical integer PDEs (2018)
  4. Howard, James P. II: Computational methods for numerical analysis with R (2017)
  5. 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)
  6. Lischke, Heike; Löffler, Thomas J.: Finding all multiple stable fixpoints of (n)-species Lotka-Volterra competition models (2017)
  7. Miller, Anna K.; Munger, Karl; Adler, Frederick R.: A mathematical model of cell cycle dysregulation due to human papillomavirus infection (2017)
  8. Petric, Alex; Guzman-Novoa, Ernesto; Eberl, Hermann J.: A mathematical model for the interplay of \textitNosemainfection and forager losses in honey bee colonies (2017)
  9. Robert Pearce and R. Setzer and Cory Strope and Nisha Sipes and John Wambaugh: httk: R Package for High-Throughput Toxicokinetics (2017) not zbMATH
  10. 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)
  11. Christopher Jackson: flexsurv: A Platform for Parametric Survival Modeling in R (2016) not zbMATH
  12. Giles Hooker and James Ramsay and Luo Xiao: CollocInfer: Collocation Inference in Differential Equation Models (2016) not zbMATH
  13. Griffiths, Graham W.: Numerical analysis using R. Solutions to ODEs and PDEs (2016)
  14. Jun Peng; ZhiBao Dong; FengQing Han: tgcd: An R package for analyzing thermoluminescence glow curves (2016) not zbMATH
  15. Philipp H Boersch-Supan, Leah R Johnson: deBInfer: Bayesian inference for dynamical models of biological systems in R (2016) arXiv
  16. Birch, Michael; Bolker, Benjamin M.: Evolutionary stability of minimal mutation rates in an evo-epidemiological model (2015)
  17. 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
  18. 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)
  19. Bloomfield, Victor A.: Using R for numerical analysis in science and engineering (2014)
  20. Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline: Solving boundary value problems in the open source software R: package bvpSolve (2014)