In this paper, suitable discrete approximations for the general elliptic and parabolic partial differential equation with periodic boundary conditions are derived and appropriate direct and fast solution methods of the resulting linear systems proposed.

A system of partial differential equations can be represented on an analog computer only approximately by using finite differences. Considering a time-space system with only one space dimension, the mostly used method is to simulate a lumped system where the distributed parameters along the...

This paper describes the working of the APACHE (Analog Programming And CHEcking) system for the production of computer programs using a digital computer, which has been developed jointly by digital and analog programmers at the computation center of EURATOM in Ispra, Italy. The language which...

In solving partial differential equations on an analog computer through an approximation to differential-difference equations, inaccuracies in the solution will always occur. This error is derived exactly for a linear first-order partial differential equation by the use of three different...

Modern developments in computing control, together with ever more complex problems, have brought about a new feature in analogue computers, making these machines even more attractive; the use of memory units. Several firms have already produced such computers. A short description is given of one...

This paper considers the possibility of using incremental integrators based on the third and fourth order Runge-Kutta integration algorithms in computer systems. This work is based on the study of more recent proposals for Digital Differential Analysers (DDA's).

This paper describes the use of a new integrated hybrid programming system which provides equation oriented specification of continuous system simulation models and automated setup, checkout, and operation of the hybrid computer. The programming system is based upon the APBE compiler originally...