The numerical computation of some integrals on the real line
- Mastronardi, N
- Occorsio, Donatella
Publication date
January 2000
DOI Publisher
Elsevier BV:PO Box 211, 1000 AE Amsterdam Netherlands:011 31 20 4853757, 011 31 20 4853642, 011 31 20 4853641, EMAIL: nlinfo-f@elsevier.nl, INTERNET: http://www.elsevier.nl, Fax: 011 31 20 4853598 ISSN
0377-0427 Citation count (estimate)
2Abstract
We discuss the approximation of integrals of type I(f;t)=∫Rf(x)K(x,t)e-x2|x|αdx,α>-1, K is the weakly singular algebraic kernel |x-t|λ,-1<λ<0, for "large" value of the parameter t. Moreover, we consider strongly oscillatory kernels of type K1(x,t)=sin(tx2),K2(x,t)=cos(tx2). Weighted error estimates in uniform and L1 norm are stated and numerical examples to confirm the efficiency of the proposed procedures are given
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