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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


The use of exponential sums in step by step integration
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by P. Brock and F. J. Murray PDF
Math. Comp. 6 (1952), 63-78 Request permission
  • W. E. Milne, The remainder in linear methods of approximation, J. Research Nat. Bur. Standards 43 (1949), 501–511. MR 0036279, DOI 10.6028/jres.043.042
  • Robert E. Greenwood, Numerical integration for linear sums of exponential functions, Ann. Math. Statistics 20 (1949), 608–611. MR 32216, DOI 10.1214/aoms/1177729955
  • P. Brock & F. J. Murray, “Planning and error analysis for the numerical solution of a test system of differential equations on the IBM sequence calculator,” Cyclone Report, Reeves Instrument Corp., New York 28. See also F. J. Murray, “Planning and error considerations for the numerical solution of a system of differential equations on a sequence calculator,” MTAC, v. 4, p. 133-144.
  • F. J. Murray, Linear equation solvers, Quart. Appl. Math. 7 (1949), 263–274. MR 31329, DOI 10.1090/S0033-569X-1949-31329-0
  • L. H. Thomas of the Watson Scientific Computing Laboratory indicated this formula for ${A_n}$ to the authors. He also indicated that the ${A_n}$ are equal in absolute value to the coefficients of the Adams-Bashforth method of step by step numerical integration. W. Feller, Probability Theory. New York, 1950, v. 1, p. 52. G. Birkhoff & S. MacLane, A Survey of Modern Algebra. New York, 1948, p. 424.
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Additional Information
  • © Copyright 1952 American Mathematical Society
  • Journal: Math. Comp. 6 (1952), 63-78
  • MSC: Primary 65.0X
  • DOI:
  • MathSciNet review: 0047403