Asymptotics for quadratic Hermite-Padé polynomials associated with the exponential function.
Asymptotics for the nth-degree Laguerre polynomial evaluated at n.
Asymptotics for the remainder of a class of positive quadratures for integrands with an interior singularity.
Asymptotics of the partition function of a random matrix model
We prove a number of results concerning the large asymptotics of the free energy of a random matrix model with a polynomial potential. Our approach is based on a deformation of potential and on the use of the underlying integrable structures of the matrix model. The main results include the existence of a full asymptotic expansion in even powers of of the recurrence coefficients of the related orthogonal polynomials for a one-cut regular potential and the double scaling asymptotics of the free...
Asymptotique des intégrales-fibres
Asymptotische Entwicklungen für unvollständige Gammafunktionen.
Asyptotic Behaviour of Multiperiodic Functions G(x) = ... g (x/2...).
Atomistic to Continuum limits for computational materials science
The present article is an overview of some mathematical results, which provide elements of rigorous basis for some multiscale computations in materials science. The emphasis is laid upon atomistic to continuum limits for crystalline materials. Various mathematical approaches are addressed. The setting is stationary. The relation to existing techniques used in the engineering literature is investigated.
Attenuation Factors in Multivariate Fourier Analysis.
Averaging interpolation on sets with multiplicities.
Averaging interpolation on sets with multiplicities. (Short Communication).
Avoiding look-ahead in the Lanczos method and Padé approximation
In the non-normal case, it is possible to use various look-ahead strategies for computing the elements of a family of regular orthogonal polynomials. These strategies consist in jumping over non-existing and singular orthogonal polynomials by solving triangular linear systems. We show how to avoid them by using a new method called ALA (Avoiding Look-Ahead), for which we give three principal implementations. The application of ALA to Padé approximation, extrapolation methods and Lanczos method for...