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 ...

As of Version 7, the Bar Charts Package has been integrated into the Mathematica kernel.

The functionality of Calculus`DSolveIntegrals` is now available in the built-in Mathematica kernel function DSolve.

GaussianQuadratureWeights[n, a, b] gives a list of the n pairs {x_i, w_i} of the elementary n-point Gaussian formula for quadrature on the interval a to b, where w_i is the ...

FirstIntegral[u] represents a first integral associated with the variable u in the output of the function FirstIntegrals.

Mathematica's symbolic architecture makes it possible to treat images just like any other form of expression—applying functions to them, displaying and inputting them in ...

From overall layout to details of particular features, Mathematica allows broad manual and programmatic control of the appearance of charts —fully integrated with its ...

Building on Mathematica's integrated symbolic architecture, it becomes easy to introduce powerful dynamic behavior into any aspect of visualization. Single Mathematica ...

Tightly integrated into Mathematica's core language is a rich set of primitives for interacting with external environments. Mathematica's symbolic architecture makes possible ...

Mathematica has fully integrated support for many of the tools used in classical and modern finance. These capabilities include financial instrument valuation, advanced time ...