Algorithm and software for integration over a convex polyhedron

Mark Korenblit; Efraim Shmerling

doi:10.1007/11832225_28

Algorithm and software for integration over a convex polyhedron

Mark Korenblit, Efraim Shmerling

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

We present a new efficient algorithm for numerical integration over a convex polyhedron in multi-dimensional Euclidian space defined by a system of linear inequalities. The software routines which implement this algorithm are described. A numerical example of calculating an integral using these routines is given.

Original language	English
Title of host publication	Mathematical Software - ICMS 2006 - Second International Congress on Mathematical Software, Proceedings
Pages	273-283
Number of pages	11
DOIs	https://doi.org/10.1007/11832225_28
State	Published - 2006
Event	2nd International Congress on Mathematical Software, ICMS 2006 - Castro Urdiales, Spain Duration: 1 Sep 2006 → 3 Sep 2006

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4151 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	2nd International Congress on Mathematical Software, ICMS 2006
Country/Territory	Spain
City	Castro Urdiales
Period	1/09/06 → 3/09/06

Access to Document

10.1007/11832225_28

Cite this

Korenblit, M., & Shmerling, E. (2006). Algorithm and software for integration over a convex polyhedron. In Mathematical Software - ICMS 2006 - Second International Congress on Mathematical Software, Proceedings (pp. 273-283). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4151 LNCS). https://doi.org/10.1007/11832225_28

@inproceedings{a8123bd5165b4836aa2f3f8d8a5d62d0,

title = "Algorithm and software for integration over a convex polyhedron",

abstract = "We present a new efficient algorithm for numerical integration over a convex polyhedron in multi-dimensional Euclidian space defined by a system of linear inequalities. The software routines which implement this algorithm are described. A numerical example of calculating an integral using these routines is given.",

author = "Mark Korenblit and Efraim Shmerling",

year = "2006",

doi = "10.1007/11832225_28",

language = "אנגלית",

isbn = "3540380841",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

pages = "273--283",

booktitle = "Mathematical Software - ICMS 2006 - Second International Congress on Mathematical Software, Proceedings",

note = "2nd International Congress on Mathematical Software, ICMS 2006 ; Conference date: 01-09-2006 Through 03-09-2006",

}

Korenblit, M & Shmerling, E 2006, Algorithm and software for integration over a convex polyhedron. in Mathematical Software - ICMS 2006 - Second International Congress on Mathematical Software, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4151 LNCS, pp. 273-283, 2nd International Congress on Mathematical Software, ICMS 2006, Castro Urdiales, Spain, 1/09/06. https://doi.org/10.1007/11832225_28

Algorithm and software for integration over a convex polyhedron. / Korenblit, Mark; Shmerling, Efraim.
Mathematical Software - ICMS 2006 - Second International Congress on Mathematical Software, Proceedings. 2006. p. 273-283 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4151 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Algorithm and software for integration over a convex polyhedron

AU - Korenblit, Mark

AU - Shmerling, Efraim

PY - 2006

Y1 - 2006

N2 - We present a new efficient algorithm for numerical integration over a convex polyhedron in multi-dimensional Euclidian space defined by a system of linear inequalities. The software routines which implement this algorithm are described. A numerical example of calculating an integral using these routines is given.

AB - We present a new efficient algorithm for numerical integration over a convex polyhedron in multi-dimensional Euclidian space defined by a system of linear inequalities. The software routines which implement this algorithm are described. A numerical example of calculating an integral using these routines is given.

UR - http://www.scopus.com/inward/record.url?scp=33750058828&partnerID=8YFLogxK

U2 - 10.1007/11832225_28

DO - 10.1007/11832225_28

M3 - ???researchoutput.researchoutputtypes.contributiontobookanthology.conference???

AN - SCOPUS:33750058828

SN - 3540380841

SN - 9783540380849

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 273

EP - 283

BT - Mathematical Software - ICMS 2006 - Second International Congress on Mathematical Software, Proceedings

T2 - 2nd International Congress on Mathematical Software, ICMS 2006

Y2 - 1 September 2006 through 3 September 2006

ER -

Korenblit M, Shmerling E. Algorithm and software for integration over a convex polyhedron. In Mathematical Software - ICMS 2006 - Second International Congress on Mathematical Software, Proceedings. 2006. p. 273-283. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11832225_28

Algorithm and software for integration over a convex polyhedron

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this