Abstract
PAMIHR: a parallel adaptive routine for the approximate computation of a multidimensional integral over a hyperrectangular region is described. The software is designed to efficiently run on a MIMD distributed memory environment, and it’s based on the widely diffused communication system BLACS. PAMIHR, further, gives special attention to the problems of scalability and of load balancing among the processes.
Chapter PDF
References
Berntsen J. -Practical error estimation in adaptive multidimensional quadrature routines-J. Comput. Appl. Math., vol. 25 (1989), pp. 327–340.
Berntsen J., T.O. Espelid, A.C. Genz-Algorithm 698: DCUHRE-An adaptive multidimensional integration routine for a vector of integrals-ACM Trans. on Math. Software, vol. 17 (1991), pp. 452–456
de Doncker E., J. Kapenga-Parallel Cubature on Loosely Coupled Systems-in Numerical Integration: Recent developments, software and Applications (T. Espelid and A. Genz eds.), Kluwer, 1992, pp. 317–327.
Dongarra J., R.C. Whaley-A user’s guide to the BLACS v1.0-Tech. Rep. CS-95-281, LAPACK Working Note no. 94, Univ. of Tennessee, 1995.
Genz A.C.-The numerical evaluation of multiple integrals on parallel computers-in Numerical Integration (P. Keast and G. Fairweather eds.), D. Reidel Publishing Co., 1987, pp. 219–230.
Genz A.C.-A Package for Testing Multiple Integration Subroutines-in Numerical Integration, (P. Keast, G. Fairweather, eds.), D. Reidel Publishing Co., 1987, pp. 337–340.
Genz A.C., A.A. Malik-An imbedded family of fully symmetric numerical integration rules-SIAM J. Num. Anal., vol. 20 (1983), pp. 580–588.
Gustafson J., G. Montry and R. Benner-Development of parallel methods for a 1024 processor hypercube-SIAM J. on Scientific and Statistic Computing, Vol. 9 (1988), pp. 580–588.
Laccetti G., M. Lapegna, A. Murli-DSMINT. A Scalable Double Precision FORTRAN Program to Compute Multidimensional Integrals-Tech. Rep. CPS-96-9 Center for Research on Parallel Computing and Supercomputers, 1996.
Lapegna M.-Global adaptive quadrature for the approximate computation of multidimensional integrals on a distributed memory multiprocessor-Concurrency: Practice and Experiences, vol. 4 (1992), pp. 413–426
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Laccetti, G., Lapegna, M. (1999). PAMIHR. A Parallel FORTRAN Program for Multidimensional Quadrature on Distributed Memory Architectures. In: Amestoy, P., et al. Euro-Par’99 Parallel Processing. Euro-Par 1999. Lecture Notes in Computer Science, vol 1685. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48311-X_160
Download citation
DOI: https://doi.org/10.1007/3-540-48311-X_160
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66443-7
Online ISBN: 978-3-540-48311-3
eBook Packages: Springer Book Archive