nlsrk-package: Runge-Kutta package for nls In nlsrk: Runge-Kutta Solver for Function nls()

Description

Performs univariate or multivariate computation of a single ODE or of a set of ODE (ordinary differential equations)

Details

 Package: nlsrk Version: 1.0 Date: 2006-09-07 Depends: R (>= 1.8.0) Suggests: License: GPL version 2 or newer URL: none Built: R 2.2.1; ; 2006-02-22 19:52:45; windows

Univariate functions (single ODE)

 ```1 2``` ```dfdt Right Side of a first order ODE frunge Numeric solution of an ODE (univariate) ```

Multivariate functions (ODEs system)

 ```1 2 3 4``` ```multirunge Runge-Kutta numerical solver (single point, multivariate) evrunge Numerical Runge-Kutta Solver (multi point, multivariate) prepare Prepares a multivariate data set for use in nls / evrunge sys Right side of a first order differential equation system (multivariate) ```

Utility

 ```1 2``` ```nlscontour Draws a contourplot of the sum of squares function around a couple of parameters summary.nlsgrid Details on an nlsgrid ```

data

 ```1 2 3``` ```logis Logistic growth of bacteria syslin Pharmacokinetics : intramuscular injection syslin.don Intra muscular injection (columns) ```

Note

nlsrk provides to nls(stats) an evaluation of functions defined by first order Ordinary Differential Equations (ODEs). For a single ODE use `frunge` and edit `dfdt`. For a system of ODEs, use the multivariate functions `evrunge` and edit `sys`. The method used in both cases is the Runge-Kutta 4 method. The result is not guaranteed especially for "stiff" systems of equations.

Author(s)

Jean-Sebastien Pierre <[email protected]> Maintainer: Jean-Sebastien Pierre <[email protected]>

References

Numerical Recipes http://www.nr.com

`nls`