deSolve swMATH ID: 4499 Software Authors: Karline Soetaert, Thomas Petzoldt, R. Woodrow Setzer Description: 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. Homepage: http://cran.r-project.org/web/packages/deSolve/ Source Code: https://github.com/cran/deSolve Programming Languages: MacOS X, Windows Dependencies: R (≥ 2.6.0) Keywords: General solvers for initial value problems of ordinary differential equations (ODE); partial differential equations (PDE); differential algebraic equations (DAE); and delay differential equations (DDE) Related Software: R; diffEq; RootSolve; FME; ggplot2; ReacTran; BvpSolve; ODEPACK; pracma; VODE; CODA; minpack.lm; numDeriv; Matlab; pomp; CollocInfer; simecol; devtools; MASS (R); lattice Cited in: 58 Documents Standard Articles 1 Publication describing the Software Year all top 5 Cited by 148 Authors 4 Soetaert, Karline 3 Adler, Frederick R. 3 Cash, Jeff R. 3 Eberl, Hermann J. 3 Mazzia, Francesca 2 Bolker, Benjamin M. 2 Muhammad, Nasim 2 Schiesser, William E. 1 Abrams, Steven 1 Adamczyk-Chauvat, Katarzyna 1 Akinshin, A. A. 1 Alderliesten, Jesse B. 1 Bailey, Richard M. 1 Baker, Erich J. 1 Basile, L. A. 1 Baumgartner, Matheus Tenório 1 Beams, Alexander B. 1 Beeton, Nicholas J. 1 Bijman, Eline Y. 1 Birch, Michael 1 Bloomfield, Victor A. 1 Bonhoeffer, Sebastian 1 Britton, Tom 1 Bukharina, T. A. 1 Camara, Baba Issa 1 Campbell, David A. 1 Canziani, Graciela Ana 1 Chaffee, Adam W. 1 Challenor, Peter G. 1 Chavez, Gordon V. 1 Chazal, Marie 1 Chen, Minqiong 1 Da Silva, Adilson J. 1 de Visser, J. Arjan G. M. 1 Diouf, Abdoulaye 1 Doig, Renny 1 Engler, Hans 1 España, Guido 1 Faria, Lucas Del Bianco 1 Felten, Vincent 1 Feng, Wenfeng 1 Férard, Jean-François 1 Fischer, Egil A. J. 1 Forbes, Lawrence K. 1 Fu, Feng 1 Furman, D. P. 1 Fussmann, Gregor F. 1 Ge, Shufei 1 Gluzman-Poltorak, Z. 1 Golubyatnikov, Vladimir Petrovich 1 Gonzales, Steven 1 Goodfellow, Marc 1 Grant, Kathleen A. 1 Grasselli, Matheus R. 1 Greer, Amy L. 1 Griffiths, Graham W. 1 Gu, Mengyang 1 Guzman-Novoa, Ernesto 1 Harrigan, Ryan J. 1 Hayes, Keith R. 1 Hendrickx, Diana M. 1 Hens, Niel 1 Holmes, Emma 1 Hosack, Geoffrey R. 1 Howard, James Patrick II 1 Hu, Yueqin 1 Hurtado, Paul J. 1 Husmeier, Dirk 1 Ickowicz, Adrien 1 Inaba, Hisashi 1 Isermann, Stefan 1 Jiang, Yukang 1 Kaltenbach, Hans-Michael 1 Kerin, John 1 Khader, Karim 1 Kim, Peter S. 1 Leclerc, Melen 1 Lee, Junehyuk 1 Lischke, Heike 1 Loeffen, Ronnie L. 1 Löffler, Thomas J. 1 Luciani, Fabio 1 Luo, Wenxiang 1 Macdonald, Benn 1 Martin, Kieran J. 1 Masfaraud, Jean-François 1 McLean, Alison K. 1 Melo, Alison M. V. D. L. 1 Miller, Anna K. 1 Mohammadi, Hossein 1 Moore, Sharon 1 Munger, Karl 1 Nakaoka, Shinji 1 Nash, John C. M. 1 Ngom, Diène 1 Oldson, D. 1 Ouédraogo, Désiré 1 Overstall, Antony M. 1 Pan, Wenliang 1 Parisey, Nicolas ...and 48 more Authors all top 5 Cited in 30 Serials 12 Journal of Theoretical Biology 5 Bulletin of Mathematical Biology 2 Mathematical Biosciences 2 Computational Statistics and Data Analysis 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Biological Dynamics 2 SIAM Journal on Financial Mathematics 2 Journal of Computational and Graphical Statistics 2 Use R! 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Biometrics 1 British Journal of Mathematical & Statistical Psychology 1 Journal of the American Statistical Association 1 Journal of Computational and Applied Mathematics 1 Theoretical Population Biology 1 Applied Mathematical Modelling 1 Opuscula Mathematica 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Journal of Applied Statistics 1 Extremes 1 Discrete and Continuous Dynamical Systems. Series B 1 Quantum Information Processing 1 Mathematical Biosciences and Engineering 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Synthesis Lectures on Mathematics /& Statistics 1 Statistics and Computing 1 Biomath 1 SIAM/ASA Journal on Uncertainty Quantification 1 Computational and Mathematical Biophysics all top 5 Cited in 16 Fields 34 Biology and other natural sciences (92-XX) 14 Ordinary differential equations (34-XX) 11 Statistics (62-XX) 11 Numerical analysis (65-XX) 5 Partial differential equations (35-XX) 4 Computer science (68-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Probability theory and stochastic processes (60-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year