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 ...

Four underlying types of numbers are built into Mathematica. Intrinsic types of numbers in Mathematica. Rational numbers always consist of a ratio of two integers, reduced to ...

The time it takes Mathematica to perform a computation is important information that can help you write efficient programs. Conveniently, you can display the time elapsed for ...

Evaluating sums. Mathematica recognizes this as the power series expansion of e^x. This sum comes out in terms of a Bessel function.

Much of what Mathematica does revolves around manipulating structured expressions. But you can also use Mathematica as a system for handling unstructured strings of text. ...

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 ...

Mathematica 6.0 fundamentally redefined Mathematica and introduced a major new paradigm for computation. Building on Mathematica's time-tested core symbolic architecture, ...

Customization is an important part of Mathematica 's extensive data visualization capabilities. While the default settings for displaying points in a plot are suitable in ...

While the default settings for plots created in Mathematica are sufficient in most cases, nearly every aspect of plots is customizable. In addition to letting you change the ...

The numerical method of lines is a technique for solving partial differential equations by discretizing in all but one dimension, and then integrating the semi-discrete ...