1 Quadrature

1.1 Functions of one Variable

quad

[v, ier, nfun] = quad ("f", a, b)
[v, ier, nfun] = quad ("f", a, b, tol)
[v, ier, nfun] = quad ("f", a, b, tol, sing)

Integrate a nonlinear function of one variable using Quadpack.

Where the first argument is the name of the function to call to compute the value of the integrand. It must have the form

y = f (x)

where y and x are scalars.

The second and third arguments are limits of integration. Either or both may be infinite. The optional argument tol specifies the desired accuracy of the result. The optional argument sing is a vector of values at which the integrand is singular.

Tolerances and other options for quad may be specified using the function quad_options.

1.2 Orthogonal Collocation

colloc

[r, A, B, q] = colloc (n)
[r, A, B, q] = colloc (n, "left")
[r, A, B, q] = colloc (n, "left", "right")

Compute derivative and integral weight matrices for orthogonal collocation using the subroutines given in J. Michelsen and M. L. Villadsen, Solution of Differential Equation Models by Polynomial Approximation.

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