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Numerical solution of differential equations

Published:08 December 1954Publication History

ABSTRACT

The problem of finding solutions to various types of differential equations has intrigued mathematicians from a theoretical point of view for many years. It has also plagued many applied scientists for an equally long period of time. Except for the relatively few equations whose solutions are available in closed form, the best one can do is to obtain approximate solutions.

References

  1. Numerical Methods in Digital Real Time Simulation, H. J. Gray, Jr. Dissertation in Electrical Engineering, Moore School of Electrical Engineering, University of Pennsylvania, Philadelphia, Pa., June 1953.Google ScholarGoogle Scholar
  2. Numerical Methods in Digital Real Time Simulation, H. J. Gray, Jr. Quarterly of Applied Mathematics, Brown University, Providence, R. I., vol. 12, no. 2, July 1954.Google ScholarGoogle Scholar
  3. Calculus of Finite Differences (book), L. M. Milne-Thomson. Macmillan and Company, London, England, 1933.Google ScholarGoogle Scholar
  4. The Use of Stability Charts in the Synthesis of Numerical Quadrature Methods, H. M. Gurk. Quarterly of Applied Mathematics, Brown University, Providence, R. I.Google ScholarGoogle Scholar
  5. A Survey of the Theory of the Boundedness, Stability and Asymptotic Behavior of Solutions of Linear and Non-Linear Differential and Difference Equations, R. Bellman. Office of Naval Research, Department of the Navy, Washington, D. C., January 1949.Google ScholarGoogle Scholar
  6. Stability Theory of Differential Equations (book), R. Bellman. McGraw-Hill Book Company, New York, N. Y., 1953.Google ScholarGoogle Scholar
  7. Numerical Solution of Differential Equations (book), W. E. Milne. John Wiley and Sons, Inc., New York, N. Y., 1953.Google ScholarGoogle Scholar
  8. The Use of Exponential Sums in Step by Step Integration, P. Brock, F. J. Murray. Mathematical Tables and Other Aids to Computation VI, nos 38 and 39, April and July 1952.Google ScholarGoogle Scholar

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  • Published in

    cover image ACM Conferences
    AIEE-IRE '54 (Eastern): Proceedings of the December 8-10, 1954, eastern joint computer conference: Design and application of small digital computers
    December 1954
    106 pages
    ISBN:9781450378550
    DOI:10.1145/1455270

    Copyright © 1954 ACM

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    • Published: 8 December 1954

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