Integrals which are individually singular, but which may be combined to yield convergent expressions, are needed for computations of relativistic effects and various properties of atomic and ...

Abstract: In this paper, we consider the rare-event simulation of integrals of exponential functions of smooth Gaussian random processes. In particular, we design importance sampling estimators that ...

Abstract: Various weakly singular integrals over triangular and quadrangular domains, arising in the mixed potential integral equation formulations, are computed with the help of novel generalized ...

Mathematics of Computation, Vol. 28, No. 126 (Apr., 1974), pp. 613-615 (7 pages) A new integral representation is derived for the expression $J_0(z)J_0(Z) + Y_0(z ...

This is a preview. Log in through your library . Abstract Approximate versions, both of Lyapunov-type results on the compactness and convexity of the integral of a correspondence, and Fatou-type ...

ABSTRACT: The calculation of the mean difference for the lognormal distribution involves several hard integrals featuring the error function. In this paper ...

Research in inequalities and integrals within the realm of fuzzy and interval-valued functions has advanced our understanding of uncertainty quantification and non-linear analysis. This field ...

This is the numerical integration program for Fourier-type integrals, using double exponential transformation. This code can calculate the sine type integral and the cosine type integral from a to ...

ABSTRACT: Reaction-diffusion equations modeling Predator-Prey interaction are of current interest. Standard approaches such as first-order (in time) finite difference schemes for approximating the ...

The integrals \(\threej{\Llo}{\Llt}{\Llth} {0}{0}{0}\,\int_0^\infty \,r^{\Llth+1}\,e^{-\alpha r}\,j_\Llo(k_1r)\, j_\Llt(k_2r)\,dr\) and \(\threej{\Llo}{\Llt}{\Llth ...