1. Romberg quadrature using the Bulirsch sequence
   Fischer, J.-W.
   Numerische Mathematik, 2002, vol. 90, no. 3, pp. 509-520, MathSciNet.   
2. Takebe Katahiro and Romberg Algorithm.
   Zelin, Xu
   Historia scientiarum, 1999, vol. 9, no. 2, pp. 155-164, MathSciNet.   
3. Error bounds for Romberg quadrature.
   Brass, H.; Fischer, J.-W.
   Numer. Math. 82 (1999), no. 3, 389--408, MathSciNet.   
4. On complexity of Romberg and adaptive-recursive numerical integration methods.
   Coman, Gheorghe; Trîmbitas, Radu T.
   Mathematica 40(63) (1998), no. 1, 63--70, MathSciNet.   
5. Cyr'nenie metoda Romberga dlya povysheniya tochnosti vychisleniya kratnykh integralov. (Russian)
   [Application of Romberg's method to increase the accuracy of calculation of multiple integrals]
   Zhidkov, E. P.; Lobanov, Yu. Yu.; Rushai, V. D.
   {Cyr Soobshcheniya Ob'edinennogo Instituta Yadernykh Issledovaniui. Dubna}
   [Communications of the Joint Institute for Nuclear Research. Dubna], R11-95-505. Ob'ed. Inst. Yadernykh Issled., Dubna, 1995. 17 pp, MathSciNet.   
6. A Short Proof for Romberg Integration (in Notes)  
   T. von Petersdorff  
   American Mathematical Monthly, Vol. 100, No. 8. (Oct., 1993), pp. 783-785, Jstor.  
7. On the construction of composite cubature formulas by Romberg's rule. (Russian)
   Israilov, M. I.; Zinov'eva, O. T.
   Uzbek. Mat. Zh. No. 4 (1991), 28--39, MathSciNet.   
8. Comparison of various adaptive or nonadaptive automatic quadrature algorithms of Romberg type. (Portuguese)
   Manara, Lúcia Helena Barros
   Bol. Soc. Paran. Mat. (2) 11 (1990), no. 1, 11--40, MathSciNet.   
9. Romberg extrapolations for numerical schemes solving stochastic differential equations  
   Talay, Denis; (INRIA, Valbonne, Fr); Tubaro, Luciano;
   Structural Safety, v 8, n 1-4, Jul, 1990, Proceedings of the European Mechanics Colloquium, Euromech 250, Jun 19-23 1989, Como, Italy, p 143-150, Compendex.  
10. 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.   
11. Bibliography W. Romberg. [Biography W. Romberg]
    Romberg Seminar on Quadrature/Interpolation/Extrapolation and Rational Approximations (Padé-continued Fractions) (Trondheim, 1988). Skr. K. Nor. Vidensk. Selsk. 1989, no. 2, iv, MathSciNet.   
12. Romberg Seminar on Quadrature/Interpolation/Extrapolation and Rational Approximations (Padé-continued Fractions).
    Proceedings of the seminar held in honor of Werner Romberg at the University of Trondheim, Trondheim, December 8--10, 1988. Edited by Tore Håvie. Skr. K. Nor. Vidensk. Selsk. 1989, no. 2. Tapir Akademisk Forlag, Trondheim, 1989. pp. i--viii and 1--135, MathSciNet.   
13. Systolic arrays for numerical integration with Romberg's formula.
    Brudaru, Octav
    An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat. 35 (1989), no. 4, 367--374, MathSciNet.   
14. Romberg Integration: A QuickBASIC Subroutine.
    Noggle, Joseph H.
    Access, 1988, vol. 7, no. 5, pp. 20 , Ingenta.  
15. Romberg Integration by Taylor Series (in Notes)  
    Edward R. Rozema  
    American Mathematical Monthly, Vol. 94, No. 3. (Mar., 1987), pp. 284-288, Jstor.  
16. Rounding errors in the Romberg algorithm. (Polish)
    Chojnacki, Janusz; Kie'nski, Andrzej  
    Mat. Stos. 29 (1987), 25--46, 93, MathSciNet.   
17. Linear Systolic Array For Romberg Integration.
    Evans, D. J.; (Loughborough Univ of Technology, Loughborough, Engl);  
    Highly Parallel Computers, Proceedings of the IFIP WG 10. 3 Working Conference for Numerical and Signal Processing Applications., Sophia-Antipolis, Fr, p 145-155, 1987, Compendex.  
18. 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.   
19. On forming the Romberg table.
    Shanks, J. A.
    J. Comput. Appl. Math. 11 (1984), no. 3, 343--351, MathSciNet.   
20. Richardson Extrapolation and Romberg Integration  
    Jacques Dutka  
    Historia Mathematica, Vol.  11, No. 1, (February 1984), pp 3-21, MathSciNet.   
21. The Romberg algorithm for numerical integration and the splitting extrapolation procedure for integral equations on polygonal domains. (Chinese)
    Lü, Tao; Lin, Qun
    J. Systems Sci. Math. Sci. 4 (1984), no. 1, 33--41, MathSciNet.   
22. Eine kurze Anmerkung zur Romberg-Integration. (German)
    Jetter, Kurt
    [A short note on Romberg integration]
    Numer. Math. 45 (1984), no. 2, 275--281, MathSciNet.   
23. Anmerkungen zur Romberg-Integration. (German)  
    Schneider, C.  
    [Comments on the Romberg iteration]
    Z. Angew. Math. Mech. 64 (1984), no. 5, 419--420, MathSciNet.  
24. Luik, E. BOGS-Methoden bei der Romberg-Integration. (German)
    [BOGS methods in Romberg iteration]
    Z. Angew. Math. Mech. 64 (1984), no. 5, 415--417, MathSciNet.  
25. 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.   
26. Fehlerschranken bei der Romberg-Quadratur. (German)
    [Error bounds in Romberg quadrature]
    Förster, K.-J.
    Z. Angew. Math. Mech. 62 (1982), no. 2, 133--135, MathSciNet.   
27. Some formulas for Romberg numerical integration. (Russian)
    Kosyuk, S. D.
    Tashkent. Gos. Univ. Sb. Nauchn. Trudov No. 670 (1981), 18--24, 104, MathSciNet.   
28. Romberg quadrature by the midpoint rule and the Fibonacci sequence. (Chinese)  
    Qin, Zeng Fu  
    Fudan Xuebao 20 (1981), no. 1, 94--99, MathSciNet.
29. Cautious Romberg extrapolation.
    Cohen, A. M.
    Internat. J. Comput. Math. 8 (1980), no. 2, 137--147, MathSciNet.   
30. The stopping inequality for Romberg quadrature. (Chinese)
    Jiang, Jin Sheng
    Numer. Math. J. Chinese Univ. 2 (1980), no. 2, 84--86, MathSciNet.   
31. Romberg algorithm by Fibonacci sequence. (Chinese)
    Qin, Zeng Fu
    Numer. Math. J. Chinese Univ. 2 (1980), no. 1, 87--89, MathSciNet.   
32. Romberg integration as a problem in interpolation theory.  
    Håvie, Tore
    Nordisk Tidskr. Informationsbehandling (BIT) 17 (1977), no. 4, 418--429, MathSciNet.  
33. The Romberg table. (Slovenian)
    Dobovi\v sek, Mirko
    Obzornik Mat. Fiz. 23 (1976), no. 3, 81--85, MathSciNet.   
34. Ein spezielles Romberg-Verfahren.
    Schipke, Siegfried
    Wiss. Z. Techn. Univ. Dresden 25 (1976), no. 4, 799--803, MathSciNet.   
35. 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.  
36. 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.  
37. The numerical evaluation of Cauchy principal values of integrals by Romberg integration.  
    Hunter, D. B.  
    Numer. Math. 21 (1973/74), 185--192, MathSciNet.  
38. Monotonicity in Romberg Quadrature  
    Torsten Strom  
    Mathematics of Computation, Vol. 26, No. 118. (Apr., 1972), pp. 461-465, Jstor.  
39. Error derivation in Romberg integration.  
    Håvie, Tore
    Nordisk Tidskr. Informationsbehandling (BIT) 12 (1972), 516--527, MathSciNet.  
40. Romberg tables for singular integrands.
    Shanks, J. A.
    Comput. J. 15 (1972), 360--361, MathSciNet.   
41. Intervallschachtelungen beim Romberg-Verfahren. (German)
    Albrecht, J.
    Z. Angew. Math. Mech. 52 (1972), 433--435, MathSciNet.   
42. An algorithm for Gauss-Romberg integration.  
    Lyness, J. N.  
    Nordisk Tidskr. Informationsbehandling (BIT) 12 (1972), 194--203, MathSciNet.  
43. Über die Romberg-Integration in n Dimensionen. (German)  
    Antes, H.  
    Computing (Arch. Elektron. Rechnen) 9 (1972), 203--209, MathSciNet.  
44. Über die vierdimensionale Romberg-Integration mit Schranken. (German)
    Antes, H.
    Computing (Arch. Elektron. Rechnen) 9 (1972), 45--52, MathSciNet.   
45. Numerisches Integrationsverfahren Nach W.Romberg, Numerical Integration Method According To W.Romberg.  
    Watzel Gvp;
    Forsch Ingenieurw, v 36, n 1, 1970, p 13-19 In German, Compendex.  
46. Mehrdimensionale Romberg-Integration. (German)  
    Schönhage, A.  
    Numer. Math. 14 1969/1970 299--304, MathSciNet.   
47. Generalized Romberg methods for integrals of derivatives.  
    Lyness, J. N.; Moler, C. B.  
    Numer. Math. 14 1969/1970 1--13, MathSciNet.   
48. Derivation of explicit expressions for the error terms in the ordinary and the modified Romberg algorithms.
    Håvie, Tore  
    Nordisk Tidskr. Informationsbehandling (BIT) 9 1969 18--29, MathSciNet.   
49. 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.  
50. On a modification of Romberg quadrature.
    Manohar, R.; Turnbull, C.
    Canad. Math. Bull. 11 1968 217--224, MathSciNet.   
51. Generalized trapezoid formulas and errors in Romberg quadrature.
    Lynch, Robert E.
    1967 Blanch Anniversary Volume pp. 215--229 Aerospace Research Lab., U.S. Air Force, Washington, D.C., MathSciNet.   
52. Strict error bounds in Romberg quadrature.
    Ström, Torsten
    Nordisk Tidskr. Informations-Behandling (BIT) 7 1967 314--321, MathSciNet.   
53. Romberg's method for certain integrals involving a singularity.
    Hunter, D. B.
    Nordisk Tidskr. Informations-Behandling (BIT) 7 1967 200--205, MathSciNet.   
54. Romberg integration for a class of singular integrands.
    Fox, L.
    Comput. J. 10 1967 87--93, MathSciNet.   
55. An extension of Romberg integration procedures to N-variables.
    Anders, Edward B.
    J. Assoc. Comput. Mach. 13 1966 505--510, MathSciNet.   
56. Methods for estimating the remainder in linear rules of approximation. Application to the Romberg algorithm.
    Meinguet, J.
    Numer. Math. 8 1966 345--366, MathSciNet.   
57. On a modification of Romberg's algorithm.
    Håvie, Tore  
    Nordisk Tidskr. Informations-Behandling 6 1966 24--30, MathSciNet.   
58. Über Fehlerabschätzungen zum Romberg-Verfahren. (German)
    Neumann, Heinz
    Z. Angew. Math. Mech. 46 1966 152--153, MathSciNet.   
59. 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.  
60. 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.  
61. Bemerkungen zur Romberg-Integration. (German)
    Bulirsch, Roland
    Numer. Math. 6 1964 6--16, MathSciNet.   
62. La méthode d'intégration numérique de Romberg. (French)
    Bauer, F. L.
    1961 Colloq. Analyse Numér. (Mons, 1961) pp. 119--129 Librairie Universitaire, Louvain, MathSciNet.   

(c) John H. Mathews 2003