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 ordinary differential equations by numerical differencing (using the method-of-lines approach). Includes fortran code.


Reference manual

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install.packages("rootSolve") by Karline Soetaert, a year ago

Browse source code at

Authors: Karline Soetaert [aut, cre] , Alan C. Hindmarsh [ctb] (files lsodes.f , sparse.f) , S.C. Eisenstat [ctb] (file sparse.f) , Cleve Moler [ctb] (file dlinpk.f) , Jack Dongarra [ctb] (file dlinpk.f) , Youcef Saad [ctb] (file dsparsk.f)

Documentation:   PDF Manual  

Task views: Differential Equations, Numerical Mathematics

GPL (>= 2) license

Imports stats, graphics, grDevices

Imported by BayesCR, BivUnifBin, CoTiMA, CompAREdesign, DImodels, Exact, FPDclustering, GWASbyCluster, LLSR, PASSED, PROreg, RadTran, Recon, StMoMo, Surrogate, addhazard, bets.covid19, bvpSolve, cemco, clordr, clusteredinterference, condGEE, conf, dMod, eggCounts, equivalenceTest, fbati, frailtypack, geeCRT, geex, ghypernet, givitiR, iZID, loewesadditivity, mdpeer, mhazard, multimode, munsellinterpol, optinterv, pbatR, reReg, rodd, sdprisk, sfcr, snfa, temperatureresponse, tranSurv, trawl, tukeyGH.

Depended on by AdvBinomApps, FME, GSED, NORMA, PriorGen, ProbYX, ReacTran, diffdepprop, ecolMod, eel, errint, kmc, prop.comb.RR, rtip, weightedScores.

Suggested by assocInd, cSEM, colorSpec, epimdr, rodeo.

See at CRAN