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Discrete Integration and Derivation
(MEDIETEKN O INTERAKTIONSDESIGN)
1999 (English)Conference paper, Published paper (Refereed)
Abstract [en]

This paper introduces a computational framework - termeddiscrete integration-which presents an algebraic interpretation of integration that captures the combinatorialaspects of the fundamental theorem of calculus at a finite level. This facilitatesdiscrete approximations of integrals that are evaluated over smooth geometric configurations,since it enables their numerical approximation within the same conceptualspace. It also makes possible a discrete version of the differential and integral calculusover various function classes. We illustrate these ideas in the case of polynomial functions- establishing a scale-invariant way to compute with sums of polynomialsdefined on simplexes1.

Place, publisher, year, edition, pages
1999.
National Category
Computer and Information Science
Identifiers
URN: urn:nbn:se:kth:diva-82645OAI: oai:DiVA.org:kth-82645DiVA: diva2:498426
Conference
The 5:th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Ixtapa-Zihuatanejo
Note
NR 20140805Available from: 2012-02-12 Created: 2012-02-12Bibliographically approved

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