This paper presents a novel simple to implement technique to accelerate the method of moments applied to surface integral equations of computational electromagnetics. The method is based on the non-uniform grid algorithm and its precision is enhanced by efficient quadrature rules for the accurate computation of near-field based on the cancellation techniques. The method is an attractive alternative to the wellknown multilevel fast multipole algorithm (MLFMA). Several numerical case studies will be presented at the conference to demonstrate the efficacy and flexibility of the proposed technique in dealing with complicated structures.