Supporting a large number of numerical integration methods for differential equations is a lot of work. In order to cut down on maintenance and duplication of code, common ...

In addition to the existing datasets that have been updated, Mathematica 8 now exposes the curated knowledge databases available from Wolfram|Alpha.

Parallel Kernel Status opens a dialog with statistics on active parallel kernels.

NDSolve is broken up into several basic steps. For advanced usage, it can sometimes be advantageous to access components to carry out each of these steps separately. NDSolve ...

The built-in functions of Mathematica implement a very large number of algorithms from computer science and mathematics. Some of these algorithms are fairly old, but the vast ...

Mathematica supports zeta and polylogarithm functions of a complex variable in full generality, performing efficient arbitrary-precision evaluation and implementing extensive ...

The method "DoubleStep" performs a single application of Richardson's extrapolation for any one-step integration method. Although it is not always optimal, it is a general ...

MaxStepFraction is an option to functions like NDSolve that specifies the maximum fraction of the total range to cover in a single step.

MaxSteps is an option to functions like NDSolve that specifies the maximum number of steps to take in generating a result.

StartingStepSize is an option to NDSolve and related functions that specifies the initial step size to use in trying to generate results.