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Automatic Integration of Linear Second-Order Differential Equations by Means of Punched Card Machines

Rev. Sci. Instrum. 12, 405 (1941); doi:10.1063/1.1769911

Issue Date: August 1941

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Lillian Feinstein and Martin Schwarzschild
Rutherford Observatory, Columbia University, New York, New York
It is shown how punched card machines can be used for solving ordinary linear differential equations of the second order. Review of Scientific Instruments is copyrighted by The American Institute of Physics.
History: Received March 14, 1941
Permalink: http://link.aip.org/link/?RSINAK/12/405/1
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ISSN:
0034-6748 (print)   1089-7623 (online)
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REFERENCES (3)

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  1. For a general description of the International Business Machines see: W. J. Eckert, Punched Card Methods in Scientific Computation (The Thomas J. Watson Astronomical Computing Bureau, 1940).
  2. This extrapolation formula is given by Noumerov (Monthly Notices Roy. Astron. Soc. 84, 592 (1924)) for the differential equations governing planetary motions. But, owing to the non-linearity of these equations, the coefficient Bn in this case cannot be exactly computed beforehand.
  3. For details see Dr. Eckert, reference 1.

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