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.
|Author||Karline Soetaert [aut, cre], yale sparse matrix package authors [cph]|
|Date of publication||2016-12-06 07:46:12|
|Maintainer||Karline Soetaert <firstname.lastname@example.org>|
|License||GPL (>= 2)|
gradient: Estimates the gradient matrix for a simple function
hessian: Estimates the hessian matrix
jacobian.band: Banded jacobian matrix for a system of ODEs (ordinary...
jacobian.full: Full square jacobian matrix for a system of ODEs (ordinary...
multiroot: Solves for n roots of n (nonlinear) equations.
multiroot.1D: Solves for n roots of n (nonlinear) equations, created by...
plot.steady: Plot and Summary Method for steady1D, steady2D and steady3D...
rootSolve: Roots and steady-states
runsteady: Dynamically runs a system of ordinary differential equations...
steady: General steady-state solver for a set of ordinary...
steady.1D: Steady-state solver for multicomponent 1-D ordinary...
steady.2D: Steady-state solver for 2-Dimensional ordinary differential...
steady.3D: Steady-state solver for 3-Dimensional ordinary differential...
steady.band: Steady-state solver for ordinary differential equations;...
stode: Iterative steady-state solver for ordinary differential...
stodes: Steady-state solver for ordinary differential equations (ODE)...
uniroot.all: Finds many (all) roots of one equation within an interval
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