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Nobody, many were deliberately built (mostly in the 1950s and 1960s) to solve problems that were beyond the capabilities of both digital computers and analog computers available at the time. They were specifically built to divide the problem so as to best take advantage of the speed of analog computers (where precision was not needed) and the precision of digital computers (where speed was not needed).

A very common use was to have the analog computer very quickly determine an approximate answer, then have the digital computer start from that value using an iterative technique to successively improve that answer until the desired precision was reached. Alone the analog computer could never get the desired precision and without a good starting approximation the digital computer would be too slow.

There is much less need for such things now, mostly because inexpensive modern digital computers are much faster than the fastest very expensive digital computers of the 1950s and 1960s.

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10y ago

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