A Special-Purpose Analog Computer for Vectorcardiography [Summary]

A special purpose computer for ab initio molecular dynamics simulations

Special Purpose Computer Architectures for High Speed Optimisation

This paper discussed two computationally intensive optimisation algorithms for 0-1 integer programs, namely simulated annealing and branch and bound. It then describes an application specific computing platform designed to accelerate their performance. The paper justifies the general approach and gives details of the algorithms.

Some recent developments on Shannon's General Purpose Analog Computer

This paper revisits one of the first models of analog computation, the General Purpose Analog Computer (GPAC). In particular, we restrict our attention to the improved model presented in [11] and we show that it can be further refined. With this we prove the following: (i) the previous model can be simplified; (ii) it admits extensions having close connections with the class of smooth continuou...

On the Functions Generated by the General Purpose Analog Computer

We consider the General Purpose Analog Computer (GPAC), introduced by Claude Shannon in 1941 as a mathematical model of Differential Analysers, that is to say as a model of continuous-time analog (mechanical, and later one electronic) machines of that time. We extend the model properly to a model of computation not restricted to univariate functions (i.e. functions f : R → R) but also to the mu...

The General Purpose Analog Computer and Computable Analysis are Two Equivalent Paradigms of Analog Computation

In this paper we revisit one of the first models of analog computation, Shannon’s General Purpose Analog Computer (GPAC). The GPAC has often been argued to be weaker than computable analysis. As main contribution, we show that if we change the notion of GPACcomputability in a natural way, we compute exactly all real computable functions (in the sense of computable analysis). Moreover, since GPA...