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PROCEEDINGS

Computation
Seminar
DECEMBER

1949

EDITED BY IBM APPLIED SCIENCE DEPARTMENT

CUTHBERT C. HURD, Director

INTERN ATION AL BUSINESS MACHINES CORPORATION

NEW YORK + NEW YORK
Copyright 1951
International Business Machines Corporation
590 Madison Avenu(!, New York 22, N. Y.
Form 22-8342-0

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

ACOMPUTATION SEMINAR, sponsored by the Inter-
.n national Business Machines Corporation, was

held in the IBM Department of Education, Endicott,

New York, from December 5 to 9, 1949. Attending the

Seminar were one hundred and seven research engineers

and scientists who are experienced both in applying

mathematical methods to the solution of physical prob-

lems and in the associated punched card methods of

computation. Consequently, these Proceedings represent

a valuable contribution to the computing art. The Inter-

national Business Machines Corporation wishes to ex-

press its appreciation to all those who participated in

this Seminar.
CONTENTS
The Future of High-Speed Computing -JOHN VON NEUMANN 13

Some Methods of Solving Hyperbolic and Parabolic
Partial Differential Equations -RICHARD W. HAMMING 14

Numerical Solution of Partial Differential Equations -EVERETT C. YOWELL. . . . .