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Asymptotic upper and lower bounds for results of extrapolation methods. (English) Zbl 0135.37902


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[1] Bauer, F. L., H. Rutishauser, andE. Stiefel: New aspects in numerical quadrature. Proc. of Symposia in Applied Mathematics15, 199–218. Am. Math. Soc. (1963). · Zbl 0133.09201
[2] Bolton, H. C., andH. I. Scoins: Eigenvalues of differential equations by finite-difference methods. Proc. of the Cambridge Phil. Soc.52, 215–229 (1956). · Zbl 0072.14603 · doi:10.1017/S0305004100031200
[3] Bulirsch, R., U. J. Stoer: Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus. Num. Math.6, 413–427 (1964). · Zbl 0123.32101 · doi:10.1007/BF01386092
[4] Bulirsch, R., u.J. Stoer: Numerical treatment of ordinary differential equations by extrapolation methods. Num. Math.8, 1–13 (1966). · Zbl 0135.37901 · doi:10.1007/BF02165234
[5] Gragg, W.: Repeated extrapolation to the limit in the numerical solution of ordinary differential equations. Thesis UCLA (1963).
[6] – On extrapolation algorithms for ordinary initial-value problems. To appear in J. SIAM B. · Zbl 0135.37803
[7] Laurent, P. J.: Étude de procédés d’extrapolation en analyse numérique. Grenoble: Thèse presentée à la Faculté des Sciences de l’Université de Grenoble 1964.
[8] Runge, C., u.H. König: Numerisches Rechnen. Berlin: Springer 1924. · JFM 50.0361.05
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