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 44 articles , 1 standard article )

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  1. Beeton, Nicholas J.; Hosack, Geoffrey R.; Wilkins, Andrew; Forbes, Lawrence K.; Ickowicz, Adrien; Hayes, Keith R.: Modelling competition between hybridising subspecies (2020)
  2. Garcia, Victor; Bonhoeffer, Sebastian; Fu, Feng: Cancer-induced immunosuppression can enable effectiveness of immunotherapy through bistability generation: a mathematical and computational examination (2020)
  3. van Benthem, Koen J.; Wittmann, Meike J.: Density dependence on multiple spatial scales maintains spatial variation in both abundance and traits (2020)
  4. Daniel Kaschek; Wolfgang Mader; Mirjam Fehling-Kaschek; Marcus Rosenblatt; Jens Timmer: Dynamic Modeling, Parameter Estimation, and Uncertainty Analysis in R (2019) not zbMATH
  5. Hendrickx, Diana M.; Abrams, Steven; Hens, Niel: The impact of behavioral interventions on co-infection dynamics: an exploration of the effects of home isolation (2019)
  6. Hu, Yueqin; Treinen, Raymond: A one-step method for modelling longitudinal data with differential equations (2019)
  7. Macdonald, Benn; Husmeier, Dirk: Model selection via marginal likelihood estimation by combining thermodynamic integration and gradient matching (2019)
  8. Mohammadi, Hossein; Challenor, Peter; Goodfellow, Marc: Emulating dynamic non-linear simulators using Gaussian processes (2019)
  9. Overstall, Antony M.; Woods, David C.; Martin, Kieran J.: Bayesian prediction for physical models with application to the optimization of the synthesis of pharmaceutical products using chemical kinetics (2019)
  10. Schiesser, William E.: Moving boundary PDE analysis. Biomedical applications in R (2019)
  11. Britton, Tom; Ouédraogo, Désiré: SEIRS epidemics with disease fatalities in growing populations (2018)
  12. Chazal, M.; Loeffen, R.; Patie, P.: Option pricing in a one-dimensional affine term structure model via spectral representations (2018)
  13. Diouf, Abdoulaye; Camara, Baba Issa; Ngom, Diène; Toumi, Héla; Felten, Vincent; Masfaraud, Jean-François; Férard, Jean-François: Bayesian inference of a dynamical model evaluating Deltamethrin effect on \textitDaphnia survival (2018)
  14. Feng, Wenfeng; Bailey, Richard M.: Unifying relationships between complexity and stability in mutualistic ecological communities (2018)
  15. Rami Yaari; Itai Dattner: simode: R Package for statistical inference of ordinary differential equations using separable integral-matching (2018) arXiv
  16. Salehi, Younes; Schiesser, William E.: Numerical integration of space fractional partial differential equations. Vol. 2: Applications from classical integer PDEs (2018)
  17. Howard, James P. II: Computational methods for numerical analysis with R (2017)
  18. 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)
  19. Lischke, Heike; Löffler, Thomas J.: Finding all multiple stable fixpoints of (n)-species Lotka-Volterra competition models (2017)
  20. Miller, Anna K.; Munger, Karl; Adler, Frederick R.: A mathematical model of cell cycle dysregulation due to human papillomavirus infection (2017)

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