Further convergence and stability results for the generalized Richardson extrapolation process GREP(1) with an application to the D(1) -transformation for infinite integrals

Journal of Computational and Applied Mathematics

Volumn 112, Issue 1-2, 1999, Pages 269-290

  Sidi, Avram ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EXTRAPOLATION; MATHEMATICAL TRANSFORMATIONS;

RICHARDSON EXTRAPOLATION PROCESS;

CONVERGENCE OF NUMERICAL METHODS;

EID: 0033343683     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)90226-1     Document Type: Article

References (8)

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3. G.H. Hardy, Divergent Series, Clarendon Press, New York, 1949.
4. Levin D., Sidi A. Two new classes of nonlinear transformations for accelerating the convergence of infinite integrals and series. Appl. Math. Comput. 9:1981;175-215.
5. R.E. Powell, S.M. Shah, Summability Theory and Its Applications, Van Nostrand Reinhold, London, 1972.
6. Sidi A. Some properties of a generalization of the Richardson extrapolation process. J. Inst. Math. Appl. 24:1979;327-346.
7. Sidi A. An algorithm for a special case of a generalization of the Richardson extrapolation process. Numer. Math. 38:1982;299-307.
8. (1) -transformation on convergent and divergent logarithmic sequences Math. Comput. 64:1995;1627-1657.