Combinatorial & Computational Mathematics
Subtitle: Present and Future
Contributors: Sungpyo Hong (Editor); Jin Ho Kwak (Editor); Ki Hang Kim (Editor); Fred W. Roush (Editor)
Edition: 1st edition
Publisher: World Scientific Publishing Company
Published: June 15, 2001
Language: eng
Format: Hardcover
Number of pages: 300
ISBN-13: 9789810246785
Subjects: Applied mathematics; Combinatorics & graph theory; Mathematical theory of computation; Science/Mathematics; Combinatorics; Mathematics; Discrete Mathematics
First sentence: We consider the problem of numerical integration in dimension s, with eventually large s; the usual rules need a very huge number of nodes with increasing dimension to obtain some accuracy, say an error bound less than 10-2; this phenomenon is called "the curse of dimensionality" ; to overcome it, two kind of methods have been developped: the so-called Monte-Carlo and Quasi-Monte-Carlo methods.