Once a method has been programmed in Mathematica, it is straightforward to provide instructive visualizations. Three examples are provided here: 1. A solution of the ...

The function conicReduceM2R transforms a real 2 × 2 matrix via matrix conjugation to an elliptic, hyperbolic, parabolic, or scalar normal form. Comment: The contributed ...

In the notebook two_tanks.nb, we assume the flowrate is proportional to volume of liquid in the tank and that the feed flow rate is constant equal to 1 except during a time ...

This Mathematica package provides a tool valid for calculating the explicit expression of the Green’s function related to a nth – order linear ordinary differential ...

In case of considerable nonlinearity i.e. in geodesy, photogrammetry, robotics, it is difficult to find proper initial values to solve the parameter estimation problem of 3D ...

A second order chemical reaction is occuring in a tubular reactor with axial dispersion. The governing equation can be found in the excellent book by W. F. Ramirez, ...

DifferentialForms.m is a package for symbolic computation with exterior differential forms in R^n. Functions implemented include ExteriorDerivative, Pair, Pullback, Push, ...

The package provides routines for first- and second-order Rayleigh-Schroedinger perturbation theory in a matrix hamiltonian formalism, i.e., first and second order ...

The purpose of this program is to derive the determining equations for Lie-point symmetries. The determining equations are derived in a form simplified as far as possible. ...

In this case study we demonstrate, how to employ the Mathematica CSPS application together with the OPTDesign package developed by Helton and Merino (1998) to design a robust ...