In this paper, parametric spline method is introduced for solving Bratu’s problem. The convergence analysis of the presented method is discussed. The method is illustrated with two numerical examples and the results show that the method converges rapidly and approximates the exact solution very accurately.

A technique for computing the electromagnetic (EM) radiation and scattering from three-dimensional (3D) conducting bodies of general shape is presented. The arbitrary surface is described by dividing it into a number of connected patches which are mathematically described as parametric quadratic surfaces. The electric eld integral equation (EFIE) is discretized by the standard method of moments...

Already for reasonable sized 3D images, image registration becomes a computationally intensive task. Here, we introduce and explore the concept of OcTree’s for registration which drastically reduces the number of processed data and thus the computational costs. We show how to map the registration problem onto an OcTree and present a suitable optimization technique. Furthermore, we demonstrate t...

Given a timed automaton with parametric timings, our objective is to describe a procedure for deriving constraints on the parametric timings in order to ensure that, for each value of parameters satisfying these constraints, the behaviors of the timed automata are time-abstract equivalent. We will exploit a reference valuation of the parameters that is supposed to capture a characteristic prope...

The classiication problem of constructing a plane to separate the members of two sets can be formulated as a parametric bilinear program. This approach was originally created to minimize the number of points misclassiied. However, a novel interpretation of the algorithm is that the subproblems represent alternative error functions of the misclassiied points. Each subproblem identiies a speciied...

Based on the Gröbner basis method, we present algorithms for a complete solution to the following problems in the implicitization of a set of rational parametric equations. (1) Find a basis of the implicit prime ideal determined by a set of rational parametric equations. (2) Decide whether the parameters of a set of rational parametric equations are independent. (3) If the parameters of a set o...

Identification of protein complexes from proteomic experiments is crucial to understand not only their function but also the principles of cellular organization. Advances in experimental techniques have enabled the construction of large–scale protein–protein interaction networks, and computational methods have been developed to analyze high–throughput data. In most cases several parameters are ...