Complexity of integration, special values, and recent developments

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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 languageEnglish
Title of host publicationMathematical Software - ICMS 2016
Subtitle of host publication5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings
EditorsG-M. Greuel, T. Koch, P. Paule, A. Sommese
PublisherSpringer Verlag
Pages485-491
ISBN (Print)9783319424316
DOIs
Publication statusPublished - Jul 2016

Publication series

NameLecture Notes in Computer Science
PublisherSpringer
Volume9725

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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 in Book/Report/Conference proceedingChapter

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