2003/03/06 by Adam, Gh., Adam, S., Plakida, N. M.
#Computational Physics (physics.comp-ph) #D.2.4 #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #G.1.0 #G.1.4 #G.4 #J.2 #Mathematical Software (cs.MS) #Numerical Analysis (math.NA)
paper · doi:10.48550/arxiv.cs/0303004
The detection of insufficiently resolved or ill-conditioned integrand structures is critical for the reliability assessment of the quadrature rule outputs. We discuss a method of analysis of the profile of the integrand at the quadrature knots which allows inferences approaching the theoretical 100% rate of success, under error estimate sharpening. The proposed procedure is of the highest interest for the solution of parametric integrals arising in complex physical models.