This is a simple homogeneous DAE with constant coefficients. This finds the general solution. It has only one arbitrary constant because the second equation in the system ...

Around 1870, Marius Sophus Lie realized that many of the methods for solving differential equations could be unified using group theory. Lie symmetry methods are central to ...

The first argument given to DSolve is the differential equation, the second argument is the unknown function, and the last argument identifies the independent variable. Here ...

Mathematica has three functions for generating pseudorandom numbers that are distributed uniformly over a range of values. Pseudorandom number generation. Generating tables ...

Restriction scripts can be very useful in managing sitewide installations of Mathematica. They can be used to prevent access to Mathematica by unauthorized users on the ...

The basis for a nonlinear conjugate gradient method is to effectively apply the linear conjugate gradient method, where the residual is replaced by the gradient. A model ...

Newton's method for nonlinear equations is based on a linear approximation so the Newton step is found simply by setting M_k(p)=0, Near a root of the equations, Newton's ...

Welcome to J/Link, a product that integrates Mathematica and Java. J/Link lets you call Java from Mathematica in a completely transparent way, and it also lets you use and ...

TetGen is a quality tetrahedral mesh generator and a three-dimensional Delaunay triangulator. It is used by Mathematica for various operations, such as interpolation in ...