RootSolve swMATH ID: 8339 Software Authors: Karline Soetaert Description: R package rootSolve: Nonlinear root finding, equilibrium and steady-state analysis of ordinary differential equations. Routines to find the root of nonlinear functions, and to perform steady-state and equilibrium analysis of ordinary differential equations (ODE). Includes routines that: (1) generate gradient and Jacobian matrices (full and banded), (2) find roots of non-linear equations by the Newton-Raphson method, (3) estimate steady-state conditions of a system of (differential) equations in full, banded or sparse form, using the Newton-Raphson method, or by dynamically running, (4) solve the steady-state conditions for uni-and multicomponent 1-D, 2-D, and 3-D partial differential equations, that have been converted to ODEs by numerical differencing (using the method-of-lines approach). Includes fortran code. Homepage: http://cran.r-project.org/web/packages/rootSolve/index.html Source Code: https://github.com/cran/RootSolve Dependencies: R Related Software: R; deSolve; BvpSolve; ReacTran; diffEq; CRAN; ggplot2; FME; ODEPACK; VODE; pracma; MASS (R); Mathematica; stats; Matlab; deTestSet; tseries; quantmod; Deriv; Matrix Cited in: 16 Documents all top 5 Cited by 31 Authors 4 Soetaert, Karline 3 Cash, Jeff R. 3 Mazzia, Francesca 1 Adler, Frederick R. 1 Aguilar-Ibáñez, Carlos Fernando 1 Ahsanullah, Mohammad 1 Álvarez-Buylla, Elena R. 1 Bloomfield, Victor A. 1 Bonhoeffer, Sebastian 1 Chakraborty, Ashis Kumar 1 Chatterjee, Moutushi 1 Endres, Sylvia 1 Fu, Feng 1 Garay-Arroyo, Adriana 1 Gerhart, Christoph 1 Howard, James Patrick II 1 Martínez García, Juan Carlos 1 Miller, Anna K. 1 Munger, Karl 1 Ng, Hon Keung Tony 1 Pantoja-Hernández, Libertad 1 Petzoldt, Thomas 1 Punzo, Antonio 1 Shakil, Mohammad 1 Shi, Yimin 1 Soria-López, Alberto 1 Stübinger, Johannes 1 Tomarchio, Salvatore D. 1 Yi, Grace Yun 1 Zhang, Fode 1 Zhang, Qihuang all top 5 Cited in 11 Serials 2 Journal of Statistical Computation and Simulation 2 Journal of Theoretical Biology 1 Physica A 1 Bulletin of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Opuscula Mathematica 1 Journal of Applied Statistics 1 Quantitative Finance 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Special Matrices 1 Use R! all top 5 Cited in 12 Fields 6 Numerical analysis (65-XX) 4 Statistics (62-XX) 3 Ordinary differential equations (34-XX) 3 Computer science (68-XX) 3 Biology and other natural sciences (92-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year