In order to demonstrate the operation and advantages of the analog computer, a system of differential equations is solved. The equations are derived from a physical model consisting of springs and masses. An analytical solution is also obtained for comparison.

The performance of a Kalman-type filter in estimating the initial conditions and/or the parameters of a linear deterministic system from a single continuous measurement record is examined. The implications of the deterministic filter are investigated together with the computational aspects of...

It is described a method for examining the flutter stability equation which based on representation of the unit circle by algebraic polynomials with complex coefficients. For this purpose only standard operational amplifiers and other linear elements of a repetitive differential analyzer are...

In spite of the power of digital computers, the solution of some problems remains difficult by numerical methods. An example is given in this paper: the difficulties arise not from the equation, but from the geometrical complexity of the three dimensional region. The rheoelectric analog...

This paper is a survey of direct parallel algorithms for solving systems of linear equations. We present an up-to-date collection of algorithms for solving triangular, dense, and tridiagonal systems of equations. We state their resulting speedup over the corresponding sequential algorithms, and...

The purpose of this paper is to show that there are many physical or problem related criteria which may be used to measure quantitatively numerical accuracy. Such criteria have been used sporadically in specialized areas, but little attempt has been made to bring them together within the...

The availibility of low cost microprocessors, memories and ancilliary circuits has made the construction of large networks of such devices feasible where each microcomputer is dedicated to a specific task. The parallel computation of the diffusion equation is a particular application of such a...

A brief outline of the Liebmann method of solving the finite difference form of the heat conduction equation, is combined with some discussion on the relative merits of solution by explicit, implicit and mixed formulations. The main burden of the paper is to record the various techniques the...

A Fourier approximation method is developed for the simple layer potential reformulation of Laplace's equation. The efficacy of the method is demonstrated in computational examples, and also analyzed theoretically.