GENERALISED GAUSSIAN QUADRATURE OVER A CIRCLE

This paper presents a Generalised Gaussian quadrature method for numerical integration over a circlebounded by the region , 0 , 0 √2 2 , are derived usingtransformation of variables, a general formula for integration over the above-mentioned region isprovided. New Gaussian points and corresponding weights are calculated. The numerical evaluation ofcircle domain integrals of any arbitrary functions is illustrated with some numerical examples.