

Bibliography
for Romberg Integration
Return
to Numerical Methods - Numerical Analysis
- Romberg quadrature using the
Bulirsch sequence
Fischer, J.-W.
Numerische Mathematik, 2002, vol. 90, no. 3, pp. 509-520,
MathSciNet.
- On complexity of Romberg and
adaptive-recursive numerical integration methods.
Coman, Gheorghe; Trîmbitas, Radu T.
Mathematica 40(63) (1998), no. 1, 63--70,
MathSciNet.
- A
Short Proof for Romberg Integration (in
Notes)
T. von Petersdorff
American Mathematical Monthly, Vol. 100, No. 8. (Oct., 1993), pp.
783-785, Jstor.
- Romberg integration and
classical analysis.
Håvie, Tore
Romberg Seminar on Quadrature/Interpolation/Extrapolation and
Rational Approximations (Padé-continued Fractions)
(Trondheim, 1988). Skr. K. Nor. Vidensk. Selsk. 1989, no. 2,
60--72, MathSciNet.
- Romberg Integration: A
QuickBASIC Subroutine.
Noggle, Joseph H.
Access, 1988, vol. 7, no. 5, pp. 20 ,
Ingenta.
- Romberg
Integration by Taylor Series (in Notes)
Edward R. Rozema
American Mathematical Monthly, Vol. 94, No. 3. (Mar., 1987), pp.
284-288, Jstor.
- Remarks on some modified
Romberg algorithms for numerical integration.
Håvie, Tore
Numerical mathematics and applications (Oslo, 1985), 57--63, IMACS
Trans. Sci. Comput.---85, I, North-Holland, Amsterdam, 1986,
MathSciNet.
- On forming the Romberg
table.
Shanks, J. A.
J. Comput. Appl. Math. 11 (1984), no. 3, 343--351,
MathSciNet.
- Richardson Extrapolation and
Romberg Integration
Jacques Dutka
Historia Mathematica, Vol. 11, No. 1, (February 1984),
pp 3-21, MathSciNet.
- Analysis of certain
possibility for parallel treatment of the Romberg quadrature
algorithm.
Chiruta, Constantin
An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat. 28 (1982), no.
2, suppl., 101--104, MathSciNet.
- Cautious Romberg
extrapolation.
Cohen, A. M.
Internat. J. Comput. Math. 8 (1980), no. 2, 137--147,
MathSciNet.
- Romberg integration as a
problem in interpolation theory.
Håvie, Tore
Nordisk Tidskr. Informationsbehandling (BIT) 17 (1977), no. 4,
418--429, MathSciNet.
- Propagation Of Initial
Rounding Error In Romberg-Like Quadrature.
Laurie, D. P.; (Natl Res Inst for Math Sci, Pretoria, S Afr);
Nordisk Tidskr. Informationsbehandling BIT (Copenhagen), v 15, n
3, 1975, p 277-282, Compendex.
- On The Exit Criteria For The
Romberg Integration Scheme Em Dash A Pragmatic
Approach.
Robinson, Ian; (Univ of Melbourne, Victoria, Aust);
Australian Computer Journal, v 7, n 3, Nov, 1975, p 113-115,
MathSciNet.
- Monotonicity
in Romberg Quadrature
Torsten Strom
Mathematics of Computation, Vol. 26, No. 118. (Apr., 1972), pp.
461-465, Jstor.
- Error derivation in Romberg
integration.
Håvie, Tore
Nordisk Tidskr. Informationsbehandling (BIT) 12 (1972), 516--527,
MathSciNet.
- Romberg tables for singular
integrands.
Shanks, J. A.
Comput. J. 15 (1972), 360--361,
MathSciNet.
- An algorithm for Gauss-Romberg
integration.
Lyness, J. N.
Nordisk Tidskr. Informationsbehandling (BIT) 12 (1972), 194--203,
MathSciNet.
- Generalized Romberg methods
for integrals of derivatives.
Lyness, J. N.; Moler, C. B.
Numer. Math. 14 1969/1970 1--13,
MathSciNet.
- Neville's
and Romberg's Processes: A Fresh Appraisal with
Extensions
J. C. P. Miller
Philosophical Transactions of the Royal Society of London. Series
A, Mathematical and Physical Sciences, Vol. 263, No. 1144. (Dec.
24, 1968), pp. 525-562, Jstor.
- On a modification of Romberg
quadrature.
Manohar, R.; Turnbull, C.
Canad. Math. Bull. 11 1968 217--224,
MathSciNet.
- Romberg's method for certain
integrals involving a singularity.
Hunter, D. B.
Nordisk Tidskr. Informations-Behandling (BIT) 7 1967 200--205,
MathSciNet.
- Romberg integration for a
class of singular integrands.
Fox, L.
Comput. J. 10 1967 87--93,
MathSciNet.
- An extension of Romberg
integration procedures to N-variables.
Anders, Edward B.
J. Assoc. Comput. Mach. 13 1966 505--510,
MathSciNet.
- On a modification of Romberg's
algorithm.
Håvie, Tore
Nordisk Tidskr. Informations-Behandling 6 1966 24--30,
MathSciNet.
- On
the Method of Romberg Quadrature
A. Meir, A. Sharma
Journal of the Society for Industrial and Applied Mathematics:
Series B, Numerical Analysis, Vol. 2, No. 2. (1965), pp. 250-258,
Jstor.
- Error
Estimates for Romberg Quadrature
A. H. Stroud
Journal of the Society for Industrial and Applied Mathematics:
Series B, Numerical Analysis, Vol. 2, No. 3. (1965), pp. 480-488 ,
Jstor.
(c) John
H. Mathews 2003