Bibliography

for

Adaptive Simpson's Rule

Return to Numerical Methods - Numerical Analysis

 

  1. The utilisation of an adaptive 3D Gauss-Legendre quadrature in the simulation of sound propagation outdoors for sources with variable power distribution
    Abdullah, S.; Nor, M. J.
    Applied Acoustics, 2001, vol. 62, no. ER1, pp. 65-83 , Ingenta.  
  2. Adaptive quadrature---revisited   
    Gander, Walter; Gautschi, Walter
    BIT 40 (2000), no. 1, 84--101, MathSciNet.  
  3. Self-adaptive quadrature and numerical path integration.
    Sabo, Dubravko; Doll, J. D.; Freeman, David L.
    Journal of Chemical Physics, 2000, vol. 113, no. 7, pp. 2522 , Ingenta.  
  4. Local Error Estimates and Regularity Tests for the Implementation of Double Adaptive Quadrature.
    Favati, Paola; Fiorentino, Giuseppe; Romani, Francesco
    Acm transactions on mathematical software, 1997, vol. 23, no. 1, pp. 16 , Ingenta.  
  5. Adaptive Finite Element Methods for Parabolic Problems V: Long-Time Integration  
    Kenneth Eriksson, Claes Johnson  
    SIAM Journal on Numerical Analysis, Vol. 32, No. 6. (Dec., 1995), pp. 1750-1763, Jstor.  
  6. Adaptive Gaussian Integration with the HP48S  
    Kerley, Lyndell M.  
    Mathematics and computer education, 1993, vol. 27, no. 3, pp. 206 , Ingenta.  
  7. On the subdivision strategy in adaptive quadrature algorithms.
    Berntsen, J.; Espelid, T.O.; Sorevik, T.
    Journal of computational and applied mathematics, 1991, vol. 35, pp. 119 , Ingenta.  
  8. Adaptive quadratures over volumes  
    Georg, K.; Widmann, R.  
    Computing 47 (1991), no. 2, 121--136, MathSciNet.  
  9. Practical error estimation in adaptive multidimensional quadrature routines.
    Bernsten, J.
    Journal of computational and applied mathematics, 1989, vol. 25, no. 3, pp. 327 , Ingenta.  
  10. An adaptive Simpson quadrature algorithm for learning purposes   
    D. Katsifli  and  D. J. Fyfe   
    Int. J. Math. Educ. Sci. Technol.,Vol. 14, No. 3, (1983), pp. 341-350.   
  11. Adaptive Integration and Improper Integrals  
    Seymour Haber  
    Mathematics of Computation, Vol. 29, No. 131. (Jul., 1975), pp. 806-809, Jstor.  
  12. Notes on the adaptive Simpson quadrature routine.
    Lyness, J. N.
    J. Assoc. Comput. Mach. 16 1969 483--495, MathSciNet.  

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003