F.G. Leppington, Asymptotic evaluation of integrals, in: D.G. Crighton, A.P. Dowling, J.E. Ffowcs Williams, M. Heckl, F.G. Leepington (Eds.), Modern Methods in Analytical Acoustics, Springer-Verlag, London1992, pp. 124-147....
The asymptotic evaluation of multidimensional integrals for the S matrix in the semiclassical theory of inelastic and reactive molecular collisions is considered. The n-dimensional integral is assumed to possess two saddle points, whose position depends on a parameter and which may coalesce for a ...
An account is given of some developments in the asymptotic evaluation of integrals of a single variable. After a discussion of Laplace integrals and quadrature formulas, estimates are provided of the errors in Laplace-type integrals and the method of steepest descents. Then Fourier transforms and ...
Olver, F. W. J.: The asymptotic solution of linear differential equations of the second order for large values of a parameter and the asymptotic expansion of Bessel Functions of large order. Phil. Trans. Roy. Soc. (London), A247, 307–368 (1954). ADSMATHGoogle Scholar Corput, J. G.V...
The accurate asymptotic evaluation of marginal likelihood integrals is a fundamental problem in Bayesian statistics. Following the approach introduced by Watanabe, we translate this into a problem of computational algebraic geometry, nam... S Lin - 《Arxiv》 被引量: 37发表: 2010年 An Asymptotic Be...
McClure, On a method of asymptotic evaluation of multiple integrals, Math. Comp. 37 (156) (1981) 509-521.R. Wong and J.P. McClure, On a method... R Wong,JP Mcclure - 《Math Comp》 被引量: 35发表: 1981年 Orthogonal functionals of independent-increment processes In analogy with the ...
Wyman The asymptotic evaluation of certain integrals Arch. Rational Mech. Anal., 14 (1963), pp. 217-260 View in ScopusGoogle Scholar [5] J.L. López, J. Sesma The Whittaker function Mκ,μ(z) as a function of κ Constructive Approx. (1999) to be published Google Scholar [6] E.C...
Physical Optics Radiation Integrals with Frequency-Independent Number of Division utilizing Fresnel Zone Number Localization and Adaptive Sampling Method In order to suppress this load, a variety of techniques, such as the asymptotic evaluation by the stationary phase method (SP), the equivalent edge ....
Numerical method of Brillouin zone integrals of vectorial fields in photonic crystals A transform of electric field eigenvectors in photonic crystals (PCs) between Brillioun zone and real space under lattice point group operation is derived... XH Wang,BY Gu,RZ Wang - 《Physics Letters A》 被引...
M Iri,S Moriguti,Y Takasawa - 《Journal of Computational & Applied Mathematics》 被引量: 166发表: 1987年 An IMT-Type Double Exponential Formula for Numerical Integration A quadrature formula for evaluation of improper integrals over (−1,1) is presented, which is obtained in such a way th...