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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Functional fitting-new family of schemes for integration of stiff O.D.E


Author: Arieh Iserles
Journal: Math. Comp. 31 (1977), 112-123
MSC: Primary 65L05
MathSciNet review: 0431688
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Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] Germund G. Dahlquist, A special stability problem for linear multistep methods, Nordisk Tidskr. Informations-Behandling 3 (1963), 27–43. MR 0170477 (30 #715)
  • [2] W. LINIGER & R. A. WILLOUGHBY, Efficient Numerical Integration of Stiff Systems of Ordinary Differential Equations, IBM Res. Report RL-1970, 1967.
  • [3] Anthony Ralston, A first course in numerical analysis, McGraw-Hill Book Co., New York-Toronto-London, 1965. MR 0191070 (32 #8479)
  • [4] A. ISERLES, Nonexponential Fitting Techniques for Stiff O.D.E., Math. Tech. Report 154, Ben-Gurion University, 1976.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1977-0431688-2
PII: S 0025-5718(1977)0431688-2
Article copyright: © Copyright 1977 American Mathematical Society