Abstract. We use generalized Gaussian quadratures for exponentials to develop a new ODE solver. Nodes and weights of these quadratures are computed for a given bandlimit c and user selected accuracy ǫ, so that they integrate functions e, for all |b| ≤ c, with accuracy ǫ. Nodes of these quadratures do not concentrate excessively near the end points of an interval as those of the standard, polyno...

While the angular-momentum projection is a common tool for theoretical nuclear structure studies, large amount of computations are required particularly triaxially deformed states. In present work, we clarify conditions exactness quadratures in method. For efficient computation, Lebedev quadrature and spherical $t$-design introduced to projection. The accuracy discussed comparison with conventi...

Many computational problems can be solved with the aid of contour integrals containing e in the integrand: examples include inverse Laplace transforms, special functions, functions of matrices and operators, parabolic PDEs, and reaction-diffusion equations. One approach to the numerical quadrature of such integrals is to apply the trapezoid rule on a Hankel contour defined by a suitable change ...

We study the randomized worst-case error and the randomized error of scrambled quasi–Monte Carlo (QMC) quadrature as proposed by Owen. The function spaces considered in this article are the weighted Hilbert spaces generated by Haar-like wavelets and the weighted Sobolev-Hilbert spaces. Conditions are found under which multivariate integration is strongly tractable in the randomized worst-case s...

In this paper a new coherent multilevel transmission system is presented based on the modulation of all the optical field degrees of freedom (the four quadratures of the optical field). The transmitted symbols are represented in the space of the field quadratures by a square lattice of points, so that both the transmitter and the decision devices can be easily implemented. The proposed modulati...