The functions accessible with Wolfram LibraryLink make it possible to optimize numerical computations while still keeping the flexibility and generality of Mathematica. If ...

Extrapolation methods are a class of arbitrary-order methods with automatic order and step-size control. The error estimate comes from computing a solution over an interval ...

Many differential equations exhibit some form of stiffness, which restricts the step size and hence effectiveness of explicit solution methods. A number of implicit methods ...

As of Version 8, much of the functionality covered by Combinatorica has been implemented in the Mathematica kernel. BooleanAlgebra CodeToLabeledTree HasseDiagram ...

DiscreteWaveletData[{wind_1 -> coef_1, ...}, wave, wtrans] yields a discrete wavelet data object with wavelet coefficients coef_i corresponding to wavelet index wind_i, ...

In addition to its graphical results, Wolfram|Alpha can provide alternative representations that contain additional information or are well suited to particular tasks. These ...

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...

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 ...

Button[label, action] represents a button that is labeled with label, and evaluates action whenever it is clicked.

DagumDistribution[p, a, b] represents a Dagum distribution with shape parameters p and a and scale parameter b.