Microcomputer calculations in physics

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Abstract
The use of microcomputers to carry out computations in an interactive manner allows the judgement of the operator to be allied with the calculating power of the machine in a synthesis which speeds up the creation and testing of mathematical techniques for physical problems. This advantage is accompanied by a disadvantage, in that microcomputers are limited in capacity and power, and special analysis is needed to compensate for this. These two features together mean that there is a fairly recognisable body of methods which are particularly appropriate for interactive microcomputing. This article surveys a wide range of mathematical methods used in physics, indicating how they can be applied using microcomputers and giving several original calculations which illustrate the value of the microcomputer in stimulating the exploration of new methods. Particular emphasis is given to methods which use iteration, recurrence relation or extrapolation procedures which are well adapted to the capabilities of modern microcomputers.