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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