1. An Optimum Generalized Trapezoidal Formula for the Numerical Integration of y' = f(x,y)  
   Jain, M. K.  
   International Journal of Computer Mathematics, 2001, vol. 77, no. 2, pp. 333-334, Ingenta.   
2. A multi-time step integration algorithm for structural dynamics based on the modified trapezoidal rule.
   Wu, Y.S.; Smolinski, P.
   Computer Methods in Applied Mechanics and Engineering, 2000, vol. 187, no. 3/4, pp. 641, Ingenta.   
3. Trapezoidal rule for multiple integrals over hyperquadrilaterals  
   Yeh, Tyan  
   Appl. Math. Comput. 87 (1997), no. 2-3, 227--246, MathSciNet.  
4. The modified trapezoidal rule for line integrals  
   Siyyam, H. I.; Syam, M. I.  
   J. Comput. Appl. Math. 84 (1997), no. 1, 1--14, MathSciNet.  
5. Proof without Words: The Trapezoidal Rule (for Functions)  
   Urias, Jesus
   Mathematics magazine, 1995, vol. 68, no. 3, pp. 192, Ingenta.   
6. A Teachable Derivation of Asymptotic Error Expansions for Numerical  
   Integration.
   Gal-Ezer, Judith
   Mathematics and computer education, 1994, vol. 28, no. 3, pp. 303, Ingenta.   
7. Trapezoidal Stratified Monte Carlo Integration  
   Stamatis Cambanis, Elias Masry  
   SIAM Journal on Numerical Analysis, Vol. 29, No. 1. (Feb., 1992), pp. 284-301, Jstor.  
8. The high-order use of the trapezoidal rule in numerical quadrature  
   Evans, G. A.  
   Internat. J. Math. Ed. Sci. Tech. 23 (1992), no. 4, 525--536, MathSciNet.  
9. Applications of the trapezoidal rule  
   Smith, H. V.
   J. Inst. Math. Comput. Sci. Math. Ser. 4 (1991), no. 3, 397--400, MathSciNet.  
10. Trapezoidal Monte Carlo Integration  
    Elias Masry, Stamatis Cambanis  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 1. (Feb., 1990), pp. 225-246, Jstor.  
11. The use of the Euler functions for error estimates of the trapezoidal and Simpson's quadratures   
    Yue-Kuen Kwok   
    Int. J. Math. Educ. Sci. Technol.,Vol. 21, No. 6, (1990), pp. 863-870.   
12. An improved rule for qadrature that is closer to the trapezium rule than Simpson's  rule   
    N. J. Royce   
    Int. J. Math. Educ. Sci. Technol.,Vol. 21, No. 4, (1990), pp. 551-558.    
13. Behold! The Midpoint Rule is Better Than the Trapezoidal Rule for Concave Functions  
    Frank Buck  
    College Math Journal: Volume 16, Number 1, (1985), Pages: 56.   
14. Estimating the Error in the Trapezoidal Rule (in Classroom Notes)  
    Edward Rozema  
    American Mathematical Monthly, Vol. 87, No. 2. (Feb., 1980), pp. 124-128, Jstor.  
15. On Simplex Trapezoidal Rule Families  
    J. N. Lyness, A. C. Genz  
    SIAM Journal on Numerical Analysis, Vol. 17, No. 1. (Feb., 1980), pp. 126-147, Jstor.  
16. On Error Norms of the Trapezoidal Rule  
    Rainer Kress  
    SIAM Journal on Numerical Analysis, Vol. 15, No. 3. (Jun., 1978), pp. 433-443, Jstor.  
17. The Error of the Trapezoidal Method for a Concave Curve (in Classroom Notes)  
    S. K. Stein  
    American Mathematical Monthly, Vol. 83, No. 8. (Oct., 1976), pp. 643-645, Jstor.  
18. The Numerical Solution of an Abel Integral Equation by a Product Trapezoidal Method  
    Kendall E. Atkinson  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 1. (Mar., 1974), pp. 97-101, Jstor.  
19. Some Minimum Properties of the Trapezoidal Rule  
    J. E. Dennis, Jr., Roland A. Sweet  
    SIAM Journal on Numerical Analysis, Vol. 9, No. 2. (Jun., 1972), pp. 230-236, Jstor.  
20. A Note on Trapezoidal Methods for the Solution of Initial Value Problems  
    A. R. Gourlay  
    Mathematics of Computation, Vol. 24, No. 111. (Jul., 1970), pp. 629-633, Jstor.  
21. A Simple "Filon-Trapezoidal" Rule (in Technical Notes and Short Papers)  
    E. O. Tuck  
    Mathematics of Computation, Vol. 21, No. 98. (Apr., 1967), pp. 239-241, Jstor.  
22. Further Examples of Exact Integration using the Trapezoidal Rule (in Mathematical Notes)  
    R. Butler  
    American Mathematical Monthly, Vol. 69, No. 6. (Jun. - Jul., 1962), pp. 534-538, Jstor.  
23. An Adjusted Trapezoidal Rule Using Function Values Within the Range of Integration (in Classroom Notes)  
    J. M. Wolfe  
    American Mathematical Monthly, Vol. 66, No. 2. (Feb., 1959), pp. 125-127, Jstor.  
24. Trapezoidal Methods of Approximating Solutions of Differential Equations  
    Preston C. Hammer, Jack W. Hollingsworth  
    Mathematical Tables and Other Aids to Computation, Vol. 9, No. 51. (Jul., 1955), pp. 92-96, Jstor.  
25. Correction: A Correction for the Trapezoidal Rule (in Classroom Notes)  
    J. J. Hart
    American Mathematical Monthly, Vol. 59, No. 6. (Jun. - Jul., 1952), p. 406, Jstor.  
26. A Correction for the Trapezoidal Rule (in Classroom Notes)  
    J. J. Hart
    American Mathematical Monthly, Vol. 59, No. 1. (Jan., 1952), pp. 33-37, Jstor.  

(c) John H. Mathews 2003