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Mathematics of Computation

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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: 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] G. G. DAHLQUIST, "A special stability problem for linear multistep methods," BIT, v. 3, 1963, pp. 27-43. MR 30 #715. 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] A. RALSTON, A First Course in Numerical Analysis, McGraw-Hill, New York, 1965. MR 32 #8479. 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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Article copyright: © Copyright 1977 American Mathematical Society

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