Title :
On the Evaluation of Correction Terms of Gaussian Integration
Author :
Nandagopal, Mohankumar
Abstract :
Accurate and compact computing recipe for evaluating correction terms for the Gaussian integration of analytic functions offers economy and high accuracy for many integrals of interest in physical sciences. The requirement of numerical integration in physical sciences is quite pervasive because many practical functions aren´t integrable in closed form. A simple example is the error function Erβx) defined by1 Erf(x) 2 /<; dt.
Keywords :
Gaussian processes; Gaussian integration; compact computing recipe; correction term evaluation; error function Erβx); numerical integration; physical sciences; Accuracy; Approximation methods; Computers; Error correction; Gaussian processes; Polynomials; Gaussian integration; correction; meromorphic functions; singularity;
Journal_Title :
Computing in Science & Engineering
DOI :
10.1109/MCSE.2011.12