Europe PMC

Singular and nonsingular three-body integrals for exponential wave functions.

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 ...
IEEE

Rare-event simulations for exponential integrals of smooth Gaussian processes

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 ...
JSTOR Daily

Some Definite Integrals of the Product of Two Bessel Functions of the Second Kind: (Order Zero)

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 ...
IEEE

Rare-event simulations for exponential integrals of smooth Gaussian processes

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 ...