quad('expression',ll,ul) is modelled after the Octave/Matlab integration
function, but much simpler. Simpson's method is applied with a fixed number of
nodes. This function uses the ``eval''-method rather than symbolic variables.
The function has to be supplied as quoted string, and must be compatible
with vector arguments. Finally, the variablename
must be x. romberg uses symbolic function
definitions, and a symbolic variable has to be supplied.
The maximum number of iterations is set by the variable rombergit
(default 
) and accuracy by rombergtol (default: 
).
>> quad('exp(-x.^2)',0,5)
s = 0.88623
>> syms x
>> romberg(exp(-x^2),x,0,5)
ans = 0.88623