Currently, clusters of Personal Computers (PCs) with sharing Fast Ethernet may o er a signi cant price/performance ratio in parallel processing. This paper presents a study of the promising possibilities of parallelism in this environment, using both a classical numerical method to solve a di erential equation and an innovative algorithm to solve the statistical problem of density estimation. I...

We study some classes of generalized convex functions, using a generalized di¤erential approach. By this we mean a set-valued mapping which stands either for a derivative, a subdi¤erential or a pseudodi¤erential in the sense of Jeyakumar and Luc. We establish some links between the corresponding classes of pseudoconvex, quasiconvex and another class of generalized convex functions we introduced...

In this paper, we devise a new subspace method for estimating the di erential time delay of a signal received at two separated sensors as well as the frequencies of the source signal, assuming that it consists of multiple sinusoids. The time delay and frequency estimates are related to the eigenvalues and eigenvectors of a matrix obtained from the covariances of the received signals. The e ecti...

This paper considers two related problems of state estimation and model validation for a class of uncertain linear systems. The main contribution of the paper is that it considers a general information structure which allows for discrete and continuous measurements as well as missing data. The results are given in terms of a recursive state estimator involving a jump Riccati di€erential equatio...

Here, we do not have to solve any recursion relation or di erential equation explicitly to obtain critical exponents. one has to only diagonarize the scaling matrix at the xed point of RG. On the other hand, in an in nite-order phase transition, the free energy has an essential singularity, and any order derivative of the free energy does not diverge. The correlation length shows strong diverge...

The in ltration process is generally described by a nonlinear di erential equation, which can be solved by iteration methods such as a Newton-Raphson method. In this paper we propose a Discrete Event System Speci cation(DEVS) model for Green-Ampt in ltration. We show that this model can be approximated using Genetic Algorithm optimization of a fuzzy system. The fuzzy approximation is shown to b...

We design here a primary platform for computing the basic homological information of Commutative Di erential Graded Algebras (brie y, CDGAs), endowed with linear di erential. All the algorithms have been implemented in the framework settled by Mathematica, so that we can take advantage of the use of symbolic computation and many other powerful tools this system provides. Working in the context ...

This work deals with the design of the low{level stages of any di erential{ based optical ow algorithm. The problem is the accurate estimaton of the spatio{temporal derivatives of the moving image, to be used in the solution of the gradient constraint equation. We claim that the \traditional" techniques for the partial derivatives estimation can be improved by i) exploiting all the information ...

In a series of papers, starting with [Fully nonlinear stochastic partial di¤erential equations. C. R. Acad. Sci. Paris Sér. I Math. 326 (1998), no. 9] Lions and Souganidis proposed a (pathwise) theory for fully non-linear stochastic partial di¤erential equations. We present here a (partial) extension towards certain spatial dependence in the noise term. The main novelty is the use of rough path...

We suggest two algorithms that allow e cient timing recovery for MSK based on the computation of the Fourier spectrum of the absolute value of the di erential phases. One is suited for parallel frequency estimation while the second is less complex but requires previous frequency correction. The algorithms are investigated using both analysis and simulation. The two algorithms approximately lead...