Skip to Main Content

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.78.

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.

 

Functional fitting–new family of schemes for integration of stiff O.D.E
HTML articles powered by AMS MathViewer

by Arieh Iserles PDF
Math. Comp. 31 (1977), 112-123 Request permission

Abstract:

Following the ideas of Liniger and Willoughby (although acting along different lines), a new family of schemes, derived from the trapezoidal rule, is developed, which enables the fitting of the scheme to arbitrary sets of equations.
References
  • Germund G. Dahlquist, A special stability problem for linear multistep methods, Nordisk Tidskr. Informationsbehandling (BIT) 3 (1963), 27–43. MR 170477, DOI 10.1007/bf01963532
  • W. LINIGER & R. A. WILLOUGHBY, Efficient Numerical Integration of Stiff Systems of Ordinary Differential Equations, IBM Res. Report RL-1970, 1967.
  • Anthony Ralston, A first course in numerical analysis, McGraw-Hill Book Co., New York-Toronto-London, 1965. MR 0191070
  • A. ISERLES, Nonexponential Fitting Techniques for Stiff O.D.E., Math. Tech. Report 154, Ben-Gurion University, 1976.
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 65L05
  • Retrieve articles in all journals with MSC: 65L05
Additional Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Math. Comp. 31 (1977), 112-123
  • MSC: Primary 65L05
  • DOI: https://doi.org/10.1090/S0025-5718-1977-0431688-2
  • MathSciNet review: 0431688