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Code Listing by Alexander Pletzer

Code 1-7 of 7   

Solve the Sturm-Liouville equation:

d( F*dY/dX )/dX - G*Y = R

using linear finite elements where F, G, and R
are user supplied external functions. Bonudary conditions are either of Robin (including Neumann) or Dirichlet type.

This simple program can be used to compute and display a 2D fractal tree.

If you have the freedom to choose your abscissas and your integrand is smooth or has
a log singularity, then this script is for you. It computes the definite integral of a user
defined function over the interval [a, b]. The user can...

Using 'reduce' and 'map', this code shows how a matrix vector multiplication
can be reduced to a single loop.

These functions, when given a magnitude 'mag' between cmin and cmax, return
a colour tuple (red, green, blue) on a 0 to 255 scale. The tuple can consist of strings
(strRgb) as required in Tk calls, or integers (rgb) as required in Java...

This vector class stores elements in a list and hence allows the 'vector' to grow
dynamically. Common mathematical functions (sin, cosh, etc) are supported elementwise
and so are a number of 'external' operations (dot for the inner...

'sparse' is a matrix class based on a dictionary to store data using 2-element tuples (i,j)
as keys (i is the row and j the column index). The common matrix operations such as
'dot' for the inner product, multiplication/division by a...