In this paper the authors extend the matrix quadrant factorisation techniques which are so applicable for parallel computers to include banded symmetric and centrosymmetric linear systems with a corresponding improvement in computational efficiency.

A method for the hybrid computer solution of a large class of P.D.E.'s, using a Laplace-modified Galerkin approximation, is presented. Hybrid implementation of the proposed method is discussed in detail. Using this method, a number of linear and nonlinear problems are solved. The hybrid solution...

The problem of applying Kalman filtering techniques to the processing of phased array data is addressed. The primary objective is to obtain a lucid explanation of why a previously developed filter design [1] encounters numerical difficulty upon initialization for a certain combination of state...

Using contraction mapping techniques a proof is given of the convergence of the discrete-space-continuous-time (DSCT) hybrid computer method of solution of the one-dimensional constant coefficients heat equation. Numerical results are given for a particular choice of initial temperature...

It has been recognized that social considerations, such as population growth, should be included in economic models if they are to be used over long time periods; the present emphasis on problems of natural resource limitation leads to an argument that resource systems should also be included in...

A new three dimensional oscillator for generating three phases of sinewaves is derived. The model is similar to the previous ones (Ref. 1 and 2) in enabling an undistorted stabilized generation of sinewaves. It possesses certain advantages in comparison to the previous models. The oscillator...

In this paper, a computational scheme is presented for the solution of the second order parabolic partial differential equation by Chebyshev polynomials. An automated strategy of inputting the relevant coefficients of the equation and scanning a recurrence tableau gives the Chebyshev...

Aquatic plants have become a problem in many freshwater bodies. Several control techniques are available, but mechanical methods (eg. harvesting) have advantages in some circumstances. Since the effectiveness of mechanical methods has been variable, a model has been formulated to investigate the...

A fast digital hardware system for signal analysis and synthesis is presented. This system, combined with data compression or information rate reduction techniques, which are also discussed in the paper, provides a powerful tool for a variety of control, communication and signal processing...