Comments on a floating-point version of Nordsieck’s scheme for the numerical integration of differential equations
HTML articles powered by AMS MathViewer
- by H. R. Lewis and E. F. Stovall PDF
- Math. Comp. 21 (1967), 157-161 Request permission
References
- Arnold Nordsieck, On numerical integration of ordinary differential equations, Math. Comp. 16 (1962), 22–49. MR 136519, DOI 10.1090/S0025-5718-1962-0136519-5 a) Equation (8) and pp. 29, 30 and 36. b) Equations (8) and (20). c) Equation (22a) and p. 36. d) pp. 25, 35 and 46. e) pp. 38–39 and Appendix C.
- Arnold Nordsieck, Automatic numerical integration of ordinary differential equations, Proc. Sympos. Appl. Math., Vol. XV, Amer. Math. Soc., Providence, R.I., 1963, pp. 241–250. MR 0158548
- William Edmund Milne, Numerical solution of differential equations, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London, 1953. MR 0068321
- Lothar Collatz, The numerical treatment of differential equations. 3d ed, Die Grundlehren der mathematischen Wissenschaften, Band 60, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1960. Translated from a supplemented version of the 2d German edition by P. G. Williams. MR 0109436
- J. H. Wilkinson, Rounding errors in algebraic processes, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1963. MR 0161456
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Math. Comp. 21 (1967), 157-161
- MSC: Primary 65.61
- DOI: https://doi.org/10.1090/S0025-5718-1967-0226866-5
- MathSciNet review: 0226866