Title: The numerical computation of some integrals on the real line
Authors: Mastronardi, Nicola ×
Occorsio, D #
Issue Date: Mar-2000
Publisher: Elsevier science bv
Series Title: Journal of computational and applied mathematics vol:115 issue:1-2 pages:433-450
Abstract: We discuss the approximation of integrals of type I(f ; t) = integral(R) f(x)K(x, t)e(-x2) vertical bar x vertical bar(2) dx, alpha > -1, where K is the weakly singular algebraic kernel vertical bar x - t vertical bar(lambda), -1 < lambda < 0, for "large" value of the parameter t. Moreover, we consider strongly oscillatory kernels of type K-1(x, t) = sin(tx(2)), K-2(x, t) = cos(tx(2)). Weighted error estimates in uniform and L-1 norm are stated and numerical examples to confirm the efficiency of the proposed procedures are given. (C) 2000 Elsevier Science B.V. All rights reserved.
ISSN: 0377-0427
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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