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We design and analyze optimal additive and multiplicative multilevel methods for solving H1 problems on graded grids obtained by bisection. We deal with economical local smoothers: after a global smoo...
With the availability of very high resolution multispectral imagery from sensors such as IKONOS and Quickbird, it is possible to identify small-scale features in urban environment. Because of the mu...
This paper introduces a new directional multilevel algorithm for solving N-body orN-point problems with highly oscillatory kernels. These systems often result from the boundary integral formulations o...
The first part of my thesis is concerned with estimation for longitudinal data using generalized semi-parametric mixed models and multilevel generalized linear mixed models for a binary response. Like...
In this paper we propose a convergence acceleration method for collocation solutions of the linear second-kind Volterra integral equations with proportional delay qt (0 < q < 1). This convergence a...
We develop an adaptive edge 痭ite element method based on reliable and e眂ient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell's equations with singularities. The r...
Abstract: We study polarization for nonbinary channels with input alphabet of size q=2^r,r=2,3,... Using Arikan's successive cancellation decoding, we prove that the virtual channels that arise in the...
Abstract: It is shown that the original construction of polar codes suffices to achieve the symmetric capacity of discrete memoryless channels with arbitrary input alphabet sizes. It is shown that in ...
Abstract: The statistics of photons emitted by single multilevel systems is investigated with emphasis on the nonrenewal characteristics of the photon-arrival times. We consider the correlation betwee...
In this article we develop and analyze two-level and multi-level methods for the family of Interior Penalty (IP) discontinuous Galerkin (DG) discretizations of second order elliptic problems with ro...
We describe situations in which chains of N degenerate quantum energy levels, coupled by time-dependent external fields, can be replaced by independent sets of chains of length N, N-1,...,2 and sets o...
Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative ma-trix with the product of two low-rank nonnegative matrices and has been shown to be particularly useful in many...
Physically-based droughts can be defined as a water deficit in at least one component of the land surface hydrological cycle. The reliance of different activity domains (water supply, irrigation, hydr...
The purpose of this conference is to get together researchers in the world especially in China and neighboring Asian countries to exchange recent ideas and results in multigrid/multiscale and domain d...
In this paper we are concerned with non-overlapping domain decomposition methods for the second-order elliptic problems in three-dimensional domains. In this method,the interface variable is chosen as...

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