A Mathematica script is simply a file containing Mathematica commands that you would normally evaluate sequentially in a Mathematica session. Writing a script is useful if ...

Typical command-line options for Mathematica executables. If the Mathematica front end is called with a notebook file as a command-line argument, then this notebook will be ...

The library now fully supports the Unicode character encoding forms UTF-8, UTF-16, and UTF-32. Use the following new API functions to put or get Unicode characters to or from ...

Implicit Runge–Kutta methods have a number of desirable properties. The Gauss–Legendre methods, for example, are self-adjoint, meaning that they provide the same solution ...

When a differential system has a certain structure, it is advantageous if a numerical integration method preserves the structure. In certain situations it is useful to solve ...

The equations of motion for a free rigid body whose center of mass is at the origin are given by the following Euler equations (see [MR99]). Two quadratic first integrals of ...

NDSolve uses norms of error estimates to determine when solutions satisfy error tolerances. In nearly all cases the norm has been weighted, or scaled, such that it is less ...

Ways to construct nested lists. This generates a table corresponding to a 2×3 nested list. This generates an array corresponding to the same nested list.

While most built-in Mathematica functions follow the standard evaluation procedure, some important ones do not. For example, most of the Mathematica functions associated with ...

Mathematica provides users with access to their computer's file system (Files), interprocess communication (MathLink Mathematica Functions), evaluation of data as code ...