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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.               .   .   .   .   

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