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 ...

Plot[f, {x, x_min, x_max}] generates a plot of f as a function of x from x_min to x_max. Plot[{f_1, f_2, ...}, {x, x_min, x_max}] plots several functions f_i.

CopyDirectory["dir_1", "dir_2"] copies the directory dir_1 to dir_2.

Trig is an option for various polynomial manipulation functions that specifies whether trigonometric functions should be treated like polynomial elements.

Converting power series to normal expressions. Power series in Mathematica are represented in a special internal form, which keeps track of such attributes as their expansion ...

An Abel ODE is a first-order equation of the form This equation arose in the context of the studies of Niels Henrik Abel on the theory of elliptic functions, and represents a ...

While differential equations have three basic types—ordinary (ODEs), partial (PDEs), or differential-algebraic (DAEs), they can be further described by attributes such as ...

Here is an example of an exact ODE. This verifies the solution. Here is a contour plot of the solution.

TetGen is created by Hang Si, Research Group: Numerical Mathematics and Scientific Computing, Weierstrass Institute for Applied Analysis and Stochastics (WIAS), Berlin. More ...

PodWidth is an option for WolframAlpha that determines the width parameters of the content returned by the Wolfram|Alpha API.