adaptive subdivisional strategy with global acceptance criteria and incorporates the epsilon algorithm to speed convergence: integration over a triangle
Gams: H2b2a1

1

Elise de Doncker , Ian Robinson, Algorithm 612: TRIEX: Integration Over a TRIangle Using Nonlinear EXtrapolation, ACM Transactions on Mathematical Software (TOMS), v.10 n.1, p.17-22, March 1984  [doi>10.1145/356068.356070]

2

Fox, F.A HALL, A.D. AND SCHRYER, N.L. The PORT mathematical subroutine library. Computer Scmnce Tech. Rep. 47, Bell Laboratories, Murray Hill, New Jersey (1977).

3

HAEGEMANS, A. ALGORITHM 34. An algorithm for automatic integration over a triangle. Computing 19 (1977), 179-189.

4

LYNESS, J.N. AND JESPERSEN, D. Moderate degree symmetric quadrature rules for the triangle. J Inst Maths Apphcs 15 (1975), 19-32.

5

PIESSENS, R., DE DONCKER-KAPENGA, E., UBERHUBER, C.W. AND KAHANER, D.K. QUADPACK, A Subroutine Package for Automatw Integration Springer Series in Comp. Math. 1, Springer-Verlag, New York {1983).

6

John R. Rice, A Metalgorithm for Adaptive Quadrature, Journal of the ACM (JACM), v.22 n.1, p.61-82, Jan. 1975  [doi>10.1145/321864.321870]

7

RUTISHAUSER, H. Descnptmn o/Algol 60 Springer-Verlag, New York, (1967), pp. 120-122.

8

RYDER, B.G. AND HALL, A.D. The PFORT verifier Computer Science Tech. Rep. 12, Bell Laboratories, Murray Hill, New Jersey {1975}.

9

WYNN, P. On a device for computing the e~(S,) transformation. Mathematical Tables and Aids to Computing 10 (1956), 91-96.

10

WYNN, P. Singular rules for certain nonlinear algorithms. Nord~sk Tidsk. 3 (1963) (now BIT). ALGORITHM

Ignatios Vakalis , Elise de Doncker, Parallel global adaptive integration and dynamic load balancing on loosely coupled systems, Proceedings of the 1993 ACM/SIGAPP symposium on Applied computing: states of the art and practice, p.554-561, February 14-16, 1993, Indianapolis, Indiana, United States

Ian Robinson, An Algorithm for Automatic Integration Over a Triangle Using Nonlinear Extrapolation, ACM Transactions on Mathematical Software (TOMS), v.10 n.1, p.1-16, March 1984

Elise de Doncker , Ian Robinson, Algorithm 612: TRIEX: Integration Over a TRIangle Using Nonlinear EXtrapolation, ACM Transactions on Mathematical Software (TOMS), v.10 n.1, p.17-22, March 1984

Jarle Berntsen , Terje O. Espelid, Algorithm 706; DCUTRI: an algorithm for adaptive cubature over a collection of triangles, ACM Transactions on Mathematical Software (TOMS), v.18 n.3, p.329-342, Sept. 1992

Ronald Cools , Ann Haegemans, Algorithm 824: CUBPACK: a package for automatic cubature; framework description, ACM Transactions on Mathematical Software (TOMS), v.29 n.3, p.287-296, September 2003

Elise de Doncker: colleagues

Ian Robinson: colleagues