rootSolve v1.8.2.1

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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.

Functions in rootSolve

Name Description
rootSolve-package Roots and steady-states
multiroot.1D Solves for n roots of n (nonlinear) equations, created by discretizing ordinary differential equations.
hessian Estimates the hessian matrix
gradient Estimates the gradient matrix for a simple function
plot.steady1D Plot and Summary Method for steady1D, steady2D and steady3D Objects
multiroot Solves for n roots of n (nonlinear) equations.
steady.1D Steady-state solver for multicomponent 1-D ordinary differential equations
runsteady Dynamically runs a system of ordinary differential equations (ODE) to steady-state
jacobian.band Banded jacobian matrix for a system of ODEs (ordinary differential equations)
stode Iterative steady-state solver for ordinary differential equations (ODE) and a full or banded Jacobian.
stodes Steady-state solver for ordinary differential equations (ODE) with a sparse jacobian.
uniroot.all Finds many (all) roots of one equation within an interval
steady.band Steady-state solver for ordinary differential equations; assumes a banded jacobian
steady General steady-state solver for a set of ordinary differential equations.
steady.2D Steady-state solver for 2-Dimensional ordinary differential equations
jacobian.full Full square jacobian matrix for a system of ODEs (ordinary differential equations)
steady.3D Steady-state solver for 3-Dimensional ordinary differential equations
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Vignettes of rootSolve

Name
rootSolve.Rnw
vignettes.bib
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Details

License GPL (>= 2)
LazyData yes
NeedsCompilation yes
Packaged 2020-04-25 08:14:33 UTC; karlines
Repository CRAN
Date/Publication 2020-04-27 16:40:02 UTC

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