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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Evaluation of a constant associated with a parking problem
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by M. Lal and P. Gillard PDF
Math. Comp. 28 (1974), 561-564 Request permission

Abstract:

A constant associated with a random space filling problem is computed to 19D. This is achieved by numerically solving an integral-difference equation.
References
  • Alfréd Rényi, On a one-dimensional problem concerning random space filling, Magyar Tud. Akad. Mat. Kutató Int. Közl. 3 (1958), no. 1-2, 109–127 (Hungarian, with English and Russian summaries). MR 104284
  • A. Dvoretzky and H. Robbins, On the “parking” problem, Magyar Tud. Akad. Mat. Kutató Int. Közl. 9 (1964), 209–225 (English, with Russian summary). MR 173275
  • J. J. A. Beenakker, The Differential-Difference Equation $\alpha xf’(x) + f(x - 1) = 0$, Ph.D. Thesis, Technische Hogeschool, Eindhoven, The Netherlands, 1966.
  • Ilona Palásti, On some random space filling problems, Magyar Tud. Akad. Mat. Kutató Int. Közl. 5 (1960), 353–360 (English, with Russian summary). MR 146947
  • Mohan Lal & Paul Gillard, "Numerical solution of two differential-difference equations on analytic theory of numbers," Conference on Numerical Solution of Differential Equations, Lecture Notes in Math., vol. 109, Springer-Verlag, Berlin and New York, 1969, pp. 179-187.
  • Mathematical methods for digital computers, John Wiley & Sons, Inc., New York-London, 1960. MR 0117906
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Math. Comp. 28 (1974), 561-564
  • MSC: Primary 65D20
  • DOI: https://doi.org/10.1090/S0025-5718-1974-0341814-9
  • MathSciNet review: 0341814