1. Introdu tion. There are plenty of appli ation papers in whi h kernels or radial basis fun tions are su essfully used for solving partial di erential equations by meshless methods. The usage of kernels is typi ally based on spatial interpolation at s attered lo ations, writing the trial fun tions entirely in terms of nodes [2℄. For stationary partial di erential equations, the dis retization ...

Re nement Calculus is a formal framework for the development of provably correct software It is also used in the development of Action Systems which is a predicate transformer based framework for constructing distributed and reactive software systems Recently Action Systems were extended with a new action called the di erential action It allows the modelling of con tinuous behaviour Along with ...

A new technique is proposed to improve the performance of di erential detection of MDPSK (M{ary di erential phase{shift keying) signi cantly, applying sequence estimation. In order to obtain an appropriate representation of the received signal, a nonlinear time{variant FIR or IIR prediction{error lter is used. For both lter structures the optimum coe cients are derived, assuming transmission ov...

We present a method to solve initial and boundary value problems using arti ial neural networks. A trial solution of the di erential equation is written as a sum of two parts. The rst part satis es the initial/boundary onditions and ontains no adjustable parameters. The se ond part is onstru ted so as not to a e t the initial/boundary onditions. This part involves a feedforward neural network, ...

S hur omplement pre onditioning for ellipti systems of partial di erential equations D. Loghin and A. J. Wathen One su essful approa h in the design of solution methods for saddle-point problems requires the eÆ ient solution of the asso iated S hur omplement problem ([26℄, [19℄). In the ase of problems arising from partial di erential equations the fa torization of the symbol of the operator an...

The problem of simultaneous reduction of real matrices by either orthogo nal similarity or orthogonal equivalence transformations is considered Based on the Jacobi idea of minimizing the sum of squares of the complementary part of the desired form to which matrices are reduced the projected gradi ent method is used in this paper It is shown that the projected gradient of the objective function ...

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In this contribution, we are concerned with the detection and re ned localization of 3D point landmarks. We propose multi-step di erential procedures which are generalizations of an existing two-step procedure for subpixel localization of 2D point landmarks. This two-step procedure combines landmark detection by applying a di erential operator with re ned localization through a di erential edge...

Symbolic Reachability Computation for Families of Linear Vector Fields Gerardo Lafferriere Department of Mathematical Sciences Portland State University, P.O. Box 751, Portland, OR 97207-0751. [email protected] George J. Pappas Department of Electrical Engineering University of Pennsylvania, 200 South 33rd Street, Philadelphia, PA 19104. [email protected] Sergio Yovine VERIMAG Centre Equat...

Degenerate parabolic equations of Kolmogorov type occur in many areas of analysis and applied mathematics. In their simplest form these equations were introduced by Kolmogorov in 1934 to describe the probability density of the positions and velocities of particles but the equations are also used as prototypes for evolution equations arising in the kinetic theory of gases. More recently equation...