

Bibliography
for
Adaptive
Simpson's Rule
Return
to Numerical Methods - Numerical Analysis
- 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.
- The Utilisation of an Adaptive
3D Gauss-Legendre Quadrature in the Simulation of Sound
Propagation Outdoors for Sources with Variable Power
Distribution
Noise and Vibration Bulletin, 2001, no. FEB, pp. 32 ,
Ingenta.
- Adaptive
quadrature---revisited
Gander, Walter; Gautschi, Walter
BIT 40 (2000), no. 1, 84--101, MathSciNet.
- 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.
- Adaptive differential
quadrature element refinement analyses of fluid mechanics
problems.
Chen, C.-N.
Computer methods in applied mechanics and engineering, 1999, vol.
180, no. 1/2, pp. 47 , Ingenta.
- Application of Adaptive
Quadrature to Fire Radiation Modeling.
Cumber, P.S.
Journal of heat transfer, 1999, vol. 121, no. 1, pp. 203 ,
Ingenta.
- A hybrid subdivision strategy
for adaptive integration routines
Cools, Ronald; Maerten, Bart
J. UCS 4 (1998), no. 5, 486--500 (electronic),
MathSciNet.
- Application of Adaptive
Quadrature to Axi-symmetric Vortex Sheet Motion.
Nie, Qing; Baker, Greg
Journal of computational physics, 1998, vol. 143, no. 1, pp. 49 ,
Ingenta.
- Adaptive quadrature filters
for multiple phase-stepping images.
Marroquin, J.L.; Servin, M.; Vera, R. Rodriguez
Optics letters, 1998, vol. 23, no. 4, pp. 238 ,
Ingenta.
- On quasi-Monte Carlo
integrations
Sobol, I. M.
IMACS Seminar on Monte Carlo Methods (Brussels, 1997). Math.
Comput. Simulation 47 (1998), no. 2-5, 103--112, Math. Sci.
Net.
- Local error estimates and
regularity tests for the implementation of double adaptive
quadrature
Favati, Paola; Fiorentino, Giuseppe; Lotti, Grazia; Romani,
Francesco
ACM Trans. Math. Software 23 (1997), no. 1, 16--31,
MathSciNet.
- Bisection method for Monte
Carlo integration
Okamoto, Masashi; Takahashi, Rinya
Math. Japon. 22 (1977), no. 3, 403--411, Math. Sci.
Net.
- Subregion-adaptive integration
of functions having a dominant peak
Genz, Alan; Kass, Robert E.
J. Comput. Graph. Statist. 6 (1997), no. 1, 92--111,
MathSciNet.
- Adaptive quadrature filters
and the recovery of phase from fringe pattern images.
Marroquin, J.L.; Servin, M.; Rodriguez-Vera, R.
Journal of the Optical Society of America. A, Optics, image
science, and vision., 1997, vol.
14, no. 8, pp. 1742 , Ingenta.
- 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.
- Error bounds for quasi-Monte
Carlo integration with nets
Lécot, Christian
Math. Comp. 65 (1996), no. 213, 179--187, Math. Sci.
Net.
- Adaptive integration
techniques for almost singular functions in the boundary element
method
Karafiat, A.
Comput. Math. Appl. 32 (1996), no. 5, 11--30,
MathSciNet.
- 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.
- The optimal error of Monte
Carlo integration
Mathé, Peter
J. Complexity 11 (1995), no. 4, 394--415, Math. Sci.
Net.
- Parallel globally adaptive
quadrature on the KSR-1
Bull, J. M.; Freeman, T. L.
Adv. Comput. Math. 2 (1994), no. 4, 357--373,
MathSciNet.
- Adaptive
Gaussian Integration with the HP48S
Kerley, Lyndell M.
Mathematics and computer education, 1993, vol. 27, no. 3, pp. 206
, Ingenta.
- Adaptive Quadrature on a
Message-Passing Multiprocessor.
Miller, Valerie; Davis, George J.
Journal of parallel and distributed computing, 1992, vol. 14, no.
4, pp. 417 , Ingenta.
- Some stability aspects of
schemes for the adaptive integration of stiff initial value
problems
Dieci, Luca; Estep, Donald
SIAM J. Sci. Statist. Comput. 12 (1991), no. 6, 1284--1303,
MathSciNet.
- 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.
- Parallel systems and adaptive
integration. Statistical multiple integration
de Doncker, E.; Kapenga, J. A.
(Arcata, CA, 1989), 33--51, Contemp. Math., 115, Amer.
Math. Soc., Providence, RI, 1991,
MathSciNet.
- Adaptive quadratures over
volumes
Georg, K.; Widmann, R.
Computing 47 (1991), no. 2, 121--136,
MathSciNet.
- On the construction of
high-order integration formulae for the adaptive quadrature
method
Sugiura, Hiroshi; Sakurai, Tetsuya
Proceedings of the 3rd International Congress on Computational and
Applied Mathematics (Leuven, 1988). J. Comput. Appl. Math. 28
(1989), Special Issue, 367--381,
MathSciNet.
- A discussion of a new error
estimate for adaptive quadrature
Espelid, Terje O.; Sørevik, Tor
BIT 29 (1989), no. 2, 283--294,
MathSciNet.
- Practical error estimation in
adaptive multidimensional quadrature routines.
Bernsten, J.
Journal of computational and applied mathematics, 1989, vol. 25,
no. 3, pp. 327 , Ingenta.
- Performance of self-validating
adaptive quadrature
Corliss, George F.
Numerical integration (Halifax, N.S., 1986), 239--259, NATO Adv.
Sci. Inst. Ser. C Math. Phys. Sci., 203, Reidel, Dordrecht, 1987,
MathSciNet.
- A parallelization of adaptive
integration methods
de Doncker, Elise; Kapenga, John A.
Numerical integration (Halifax, N.S., 1986), 207--218, NATO Adv.
Sci. Inst. Ser. C Math. Phys. Sci., 203, Reidel, Dordrecht, 1987,
MathSciNet.
- On the subdivision strategy in
numerical adaptive integration over the cube
Berntsen, Jarle
Reports in Informatics, 11. University of Bergen, Department of
Informatics, Bergen, 1984. ii+32 pp,
MathSciNet.
- Increasing robustness in
global adaptive quadrature through interval selection
heuristics
Shapiro, Henry D.
ACM Trans. Math. Software 10 (1984), no. 2, 117--139,
MathSciNet.
- 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.
- Extrapolated adaptive
quadrature
Kahaner, D.; Stoer, J.
SIAM J. Sci. Statist. Comput. 4 (1983), no. 1, 31--44,
MathSciNet.
- Corrigenda: "Double
integration using one-dimensional adaptive quadrature routines: a
software interface problem"
Fritsch, F. N.
ACM Trans. Math. Software 7 (1981), no. 2, 252,
MathSciNet.
- Double integration using
one-dimensional adaptive quadrature routines: a software interface
problem.
Fritsch, F. N.; Kahaner, D. K.; Lyness, J.
N.
ACM Trans. Math. Software 7 (1981), no. 1, 46--75.,
MathSciNet.
- Improvements of adaptive
Newton-Cotes quadrature methods
Ninomiya, Ichizo
J. Inform. Process. 3 (1980/81), no. 3, 162--170,
MathSciNet.
- An alternative strategy for
cautious adaptive quadrature
Hazlewood, L. J.
J. Inst. Math. Appl. 20 (1977), no. 4, 505--518,
MathSciNet.
- Parallel algorithms for
adaptive quadrature. III. Program correctness
Rice, John R.
ACM Trans. Math. Software 2 (1976), no. 1, 1--30,
MathSciNet.
- Adaptive
Integration and Improper Integrals
Seymour Haber
Mathematics of Computation, Vol. 29, No. 131. (Jul., 1975), pp.
806-809, Jstor.
- A metalgorithm for adaptive
quadrature
Rice, John R.
J. Assoc. Comput. Mach. 22 (1975), 61--82,
MathSciNet.
- Adaptive quadrature:
convergence of parallel and sequential algorithms
Rice, John R.
Bull. Amer. Math. Soc. 80 (1974), 1250--1254,
MathSciNet.
- A technique for analysing
adaptive quadrature strategies
Simpson, R. B.
Proceedings of the Third Manitoba Conference on Numerical
Mathematics (Winnipeg, Man., 1973), pp. 369--378,
MathSciNet.
- Adaptive integration and
improper integrals
Haber, Seymour
Math. Comp. 29 (1975), 806--809,
MathSciNet.
- Notes on the adaptive Simpson
quadrature routine.
Lyness, J. N.
J. Assoc. Comput. Mach. 16 1969 483--495,
MathSciNet.
(c) John
H. Mathews 2003