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These Proceedings preserve in print most of the invited addresses and contributed papers of the 1981 Army Numerical Analysis and Computers Conference. The Army Mathematics Steering Committee (AMSC) sponsors these meetings on behalf of the Office of the Chief of Research, Development and Acquisition. Members of this committee insist that the guest lecturer be internationally known scientists who are effective researchers and are presently working in frontier fields of current interest. They feel that the addresses by the invited speakers as well as the contributed papers by Army personnel will stimulate the interchange of ideas among the scientists attending said meetings.