Complexity of integration, special values, and recent developments

James Davenport

doi:10.1007/978-3-319-42432-3_62

Complexity of integration, special values, and recent developments

James Davenport

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

2 Citations (SciVal)

246 Downloads (Pure)

Abstract

Two questions often come up when the author discusses integration: what is the complexity of the integration process, and for what special values of parameters is an unintegrable function actually integrable. These questions have not been much considered in the formal literature, and where they have been, there is one recent development indicating that the question is more delicate than had been supposed.

Original language	English
Title of host publication	Mathematical Software - ICMS 2016
Subtitle of host publication	5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings
Editors	G-M. Greuel, T. Koch, P. Paule, A. Sommese
Publisher	Springer Verlag
Pages	485-491
ISBN (Print)	9783319424316
DOIs	https://doi.org/10.1007/978-3-319-42432-3_62
Publication status	Published - Jul 2016

Publication series

Name	Lecture Notes in Computer Science
Publisher	Springer
Volume	9725

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10.1007/978-3-319-42432-3_62

Integration-withHAccepted author manuscript, 255 KBLicence: CC BY-NC-SA

Cite this

Davenport, J. (2016). Complexity of integration, special values, and recent developments. In G.-M. Greuel, T. Koch, P. Paule, & A. Sommese (Eds.), Mathematical Software - ICMS 2016: 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings (pp. 485-491). (Lecture Notes in Computer Science; Vol. 9725). Springer Verlag. https://doi.org/10.1007/978-3-319-42432-3_62

Complexity of integration, special values, and recent developments. / Davenport, James.
Mathematical Software - ICMS 2016: 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings. ed. / G-M. Greuel; T. Koch; P. Paule; A. Sommese. Springer Verlag, 2016. p. 485-491 (Lecture Notes in Computer Science; Vol. 9725).

Research output: Chapter or section in a book/report/conference proceeding › Chapter or section

Davenport, J 2016, Complexity of integration, special values, and recent developments. in G-M Greuel, T Koch, P Paule & A Sommese (eds), Mathematical Software - ICMS 2016: 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings. Lecture Notes in Computer Science, vol. 9725, Springer Verlag, pp. 485-491. https://doi.org/10.1007/978-3-319-42432-3_62

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Complexity of integration, special values, and recent developments

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