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IBM_Scientific_Computation_Forum_1948


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         PROCEEDINGS


          Scientific
         Com putation
           Forum


                        1948
                 H. R. J.   GROSCH, Editor
         WATSON SCIENTIFIC COMPUTING LABORATORY




INTERNATIONAL   BUSINESS          MACHINES      CORPORATION

           NEW     YORK       +   NEW    YORK
                                               Copyright 1950
                                International Business Machines Corporation
                                 590 Madison Avenue, New York 22, N. Y.
                                               Form 22-5904-0




P   R   I   N   TED   I   N   THE     U   NIT        E   D      S   TAT       E   S   o   F   AMERICA
               FOREWORD


A    SCIENTIFIC COMPUTATION FORUM, sponsored by the
      International Business Machines Corporation, was
held in the IBM Department of Education, Endicott,
New York, from August 23 to August 26, 1948. The
Forum concluded with two sessions held in New York
City on August 27.
      Earlier meetings in this senes, which began in
1940, were devoted largely to statistical procedures. In
the 1948 Forum, for the first time, an attempt was made
to cover many of the fields in which large-scale com-
puting methods have proved important. The exchange
of ideas between workers in fields as diverse as aero-
dynamics and physical chemistry proved fruitful from
the very beginning, yet specialists in the same field also
found time for intensive discussions.
      It is hoped that the contributions printed here
will prove of value not only to the participants but to
other members of the growing group engaged in tech-
nical calculations on punched card equipment.
                                 CONTENTS
 Evaluation of Higher Order Differences on the Type 602
       Calculating Punch                                  -FRANK M. VERZUH                            9
 Differencing on tbe Type 405 Accounting Machine          -GERTRUDE BLANCH                           14
 The Use of Optimum Interval Mathematical Tables          -H. R. J. GROSCH                           23
 Punched Card Techniques for the Solution of Simultaneous
       Equations and Other Matrix Operations            -WILLIAM       D. BELL                       28
 Two Numerical Methods of Integration Using Predetermined Factors
                                                          -LELAND W. SPRINKLE                        32
 Integration of Second Order Linear Differential
        Equations on the Type 602 Calculating Punch       - N . ARNE LINDBERGER                      34
 Integration of the Differential Equation   ~~   =P



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