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.
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