lobatto_polynomial, a FORTRAN90 code which evaluates the completed Lobatto polynomial and associated functions.
The completed Lobatto polynomial Lo(n,x) can be defined by:
Lo(n,x) = n * ( P(n-1,x) - x * P(n,x) )
where n is a positive integer called the order, x is a real value
between -1 and +1, and P(n,x) is the Legendre polynomial.
The completed Lobatto polynomial Lo(n,x) has degree n+1, and is zero at x = -1 and x = +1.
gnuplot() is used to create images of some of the functions.
The computer code and data files described and made available on this web page are distributed under the MIT license
lobatto_polynomial is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version.
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