RECIPROCAL POLYNOMIAL EXTRAPOLATION
摘要
An alternative to the classical extrapolations is proposed. The stability and the accuracy are studied. The new extrapolation behaves better than the classical ones when there are problems of stability. This technique will be useful in those problems where the region of stability is very small and it forces to work with too fine scales.
参考文献8
-
1I. Alonso-Mallo, Single step methods with optimal order of convergence for partial differential equations, to appear in Appl. Num. Math..
-
2S. Amat, V.F. Candela , Nonpolinomial interpolation using modulatory filters , International Mathematical J., 3:5 (2003), 529-548.
-
3G. Dahlquist, A. BjSrk , Numerical Methods. Prentice-Hall, inc., 1974.
-
4E. Hairer, G. Warner , Solving Ordinary Differential Equations Ⅱ, SpringerVerlag Berlin Heidel-berg, 1991.
-
5D. Kahaner, Numerical Methods and Software, Prentice-Hall, 1989.
-
6J.D. Lambert, Numerical Methods for Ordinary Differential Systems, Wiley, 1991.
-
7J. Stoer, R. Burlirsch, Introduction to Numerical Analysis, Springer-Verlag, 1993.
-
8J.L. Van Iwaarden, Ordinary Differential Equations with Numerical Techniques, Harcourt Brace Jovanovich, publishers, 1985.