Roots and steady-states
(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 a dynamic run,
(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).
|License:||GNU Public License 2 or above|
rootSolve was created to solve the examples from chapter 7 (stability and steady-state) from the book of Soetaert and Herman, 2009.
Please cite this work when using rootSolve.
Soetaert, K and Herman, PMJ, 2009. A Practical Guide to Ecological Modelling. Using R as a Simulation Platform. Springer, 372pp, ISBN 978-1-4020-8623-6.
Soetaert K., 2009. rootSolve: Nonlinear root finding, equilibrium and steady-state analysis of ordinary differential equations. R-package version 1.6
uniroot.all, to solve for all roots of one (nonlinear) equation
multiroot, to solve n roots of n (nonlinear) equations
steady, for a general interface to most of the steady-state
steady.band, to find the steady-state of ODE models with a
steady.3D, steady-state solvers for 1-D, 2-D and 3-D
partial differential equations.
stode, iterative steady-state solver for ODEs with full
or banded Jacobian.
stodes, iterative steady-state solver for ODEs with arbitrary
runsteady, steady-state solver by dynamically running to
jacobian.band, estimates the
Jacobian matrix assuming a full or banded structure.
hessian, estimates the gradient
matrix or the Hessian.
plot.steady1D, ... for plotting steady-state solutions.
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