Numerical Asymptotics

Asymptotics for the infinite time ruin probability of a dependent risk model with a constant interest rate and dominatedly varying-tailed claim sizes

 This paper mainly considers a nonstandard risk model with a constant interest rate‎, ‎where both the claim sizes and the inter-arrival times follow some certain dependence structures‎. ‎When the claim sizes are dominatedly varying-tailed‎, ‎asymptotics for the infinite time ruin probability of the above dependent risk model have been given‎.

Numerical study of high frequency asymptotics of the symbol of the Dirichlet-to-Neumann operator in 2D diffraction problems

A high-frequency asymptotics of the symbol of the Dirichlet-toNeumann map, treated as a periodic pseudodifferential operator, in 2D diffraction problems is discussed. Numerical results support a conjecture on a universal limit shape of the symbol.

Pinning and Unpinning in Nonlocal Systems

We investigate pinning regions and unpinning asymptotics in nonlocal equations. We show that phenomena are related to but different from pinning in discrete and inhomogeneous media. We establish unpinning asymptotics using geometric singular perturbation theory in several examples. We also present numerical evidence for the dependence of unpinning asymptotics on regularity of the nonlocal convo...

A. (2012) Single and Two-scale Sharp-interface Models for Concrete Carbonation— Asymptotics and Numerical Approximation. Multiscale Modeling Single and Two-scale Sharp-interface Models for Concrete Carbonation—asymptotics and Numerical Approximation *

We investigate the fast-reaction asymptotics for a one-dimensional reaction-diffusion system describing the penetration of the carbonation reaction in concrete. The technique of matchedasymptotics is used to show that the reaction-diffusion system leads to two distinct classes of sharpinterface models. These correspond to different scalings of a small parameter representing the fast-reaction an...

Numerical experiments on the intermediate asymptotics of shear - free turbulent transport and diffusion

Asymptotics of coe cients of multivariate generating functions: improvements for multiple points

Let F (x) = P ⌫2Nd F⌫x ⌫ be a multivariate power series with complex coe cients that converges in a neighborhood of the origin. Assume F = G/H for some functions G and H holomorphic in a neighborhood of the origin. We derive asymptotics for the coe cients Fr↵ as r ! 1 with r↵ 2 Nd for ↵ in a permissible subset of d-tuples of positive reals. More specifically, we give an algorithm for computing ...