1. Implicit Midpoint Rule to the Nonlinear Degenerate Boundary Value Problems
   Somali, S.
   International Journal of Computer Mathematics, 2002, vol. 79, no. 3, pp. 327-332, Ingenta.   
2. On perturbed trapezoidal and midpoint rules.  
   Cerone, P.
   Korean J. Comput. Appl. Math.  9  (2002),  no. 2, 423--435, MathSciNet.  
3. Implicit midpoint rule and extrapolation to singularly perturbed boundary value problems
   Somali, S.; Davulcu, S.
   International Journal of Computer Mathematics, v 75, n 1, 2000, p 117-127, Compendex.  
4. On the midpoint quadrature formula for Lipschitzian mappings and applications.
   Dragomir, Sever Silvestru
   Kragujevac J. Math. 22 (2000), 5--11, MathSciNet.  
5. A fourth order extrapolation for the implicit midpoint rule.
   Marfurt, Marco; Urbani, Anna Melania
   Int. J. Appl. Math. 1 (1999), no. 4, 357--364, MathSciNet.
6. A modified generalized midpoint rule for the integration of rate-dependent thermo-elastic-plastic constitutive equations.
   Fotiu, P. A.
   Computer methods in applied mechanics and engineering, 1995, vol. 122, no. 1/2, pp. 105-129, Ingenta.   
7. Note on certain generalizations of the midpoint rule
   Gonzalez-Vera, P.; Gonzalez-Pinto, S.; Santos-Leon, J.C.
   Journal of Computational and Applied Mathematics, v 49, n 1-3, Dec 31, 1993, p 85-91, Compendex.  
8. Dense Output for Extrapolation Based on the Semi-Implicit Midpoint Rule.
   Jay, L.
   Zeitschrift fur angewandte mathematik und mechanik, 1993, vol. 73, no. 11, pp. 325--32, Ingenta.   
9. Multivariate Boolean midpoint rules.
   Baszenski, Günter; Delvos, Franz-Jürgen
   Numerical integration, IV (Oberwolfach, 1992), 1--11, Internat. Ser. Numer. Math., 112, Birkhäuser, Basel, 1993, MathSciNet.
10. The implicit Midpoint Rule Applied to Discontinuous Differential Equations.
    Kastner-Maresch, A.E.
    Computing. archiv fur informatik und numerik, 1992, vol. 49, no. 1, pp. 45, Ingenta.   
11. The numerical computation of the Voigt function by a corrected midpoint quadrature rule.
    Lether, F. G.; Wenston, P. R.
    J. Comput. Appl. Math. 34 (1991), no. 1, 75--92, MathSciNet.  
12. r-th order blending midpoint rules.
    Delvos, Franz-J.
    Optimal recovery (Varna, 1989), 145--151, Nova Sci. Publ., Commack, NY, 1992, MathSciNet.  
13. Asymptotic Expansions for the Midpoint Rule Applied to Delay Differential Equations  
    Maarten De Gee
    SIAM Journal on Numerical Analysis, Vol. 23, No. 6. (Dec., 1986), pp. 1254-1272, Jstor.  
14. Behold! The Midpoint Rule Is Better Than the Trapezoidal Rule for Concave Functions (in Classroom Capsules)  
    Frank Buck
    The College Mathematics Journal, Vol. 16, No. 1. (Jan., 1985), p. 56, Jstor.  
15. B-Convergence Of The Implicit Midpoint Rule And The Trapezoidal Rule.
    Kraaijevanger, J. F. B. M.
    BIT (Copenhagen), v 25, n 4, 1985, p 652-666, Compendex
16. Composite midpoint quadrature formula for some contour integrals.
    Acharya, B. P.; Das, R. N.
    Bull. Calcutta Math. Soc. 76 (1984), no. 5, 270--272, MathSciNet.  
17. Asymptotic expansions of the global error for the implicit midpoint rule (stiff case).
    van Veldhuizen, M.
    Computing 33 (1984), no. 2, 185--192, MathSciNet.  
18. Smoothing the extrapolated midpoint rule.
    Shampine, Lawrence F.; Baca, Lorraine S.
    Numer. Math. 41 (1983), no. 2, 165--175, MathSciNet.  
19. Romberg quadrature by the midpoint rule and the Fibonacci sequence. (Chinese)
    Qin, Zeng Fu
    Fudan Xuebao 20 (1981), no. 1, 94--99, MathSciNet.  
20. Generalizations of midpoint rules.
    Barnhill, Robert E.
    Rocky Mountain J. Math. 1 1971 no. 4, 603--611, MathSciNet.  
21. On a Generalization of the Midpoint Rule (in Technical Notes and Short Papers)  
    Franz Stetter
    Mathematics of Computation, Vol. 22, No. 103. (Jul., 1968), pp. 661-663, Jstor.  
22. Midpoint Quadrature Formulas (in Technical Notes and Short Papers)  
    Seymour Haber
    Mathematics of Computation, Vol. 21, No. 100. (Oct., 1967), pp. 719-721, Jstor.  
23. Investigation of a Modified Mid-Point Quadrature Formula  
    D. Jagerman
    Mathematics of Computation,Vol.20,No.93. (Jan.,1966),pp.79-89, Jstor.  

(c) John H. Mathews 2004