ASYMPTOTIC EXPANSION OF TWO-DIMENSIONAL EULER-MACLAURIN DISTRIBUTIONAL SUMS

Carlos Ml. Ulate (Costa Rica) and Ricardo Estrada (Costa Rica)

Abstract

Key Words & Phrases: SWe study the asymptotic expansions of two-dimensional Euler? Maclaurin sums based on distributions both for smooth functions and for functions singular at a corner. We obtain our results by using the distributional asymptotic analysis.

Keywords and phrases: asymptotic expansion, numerical quadrature, generalized function.