Change search
ReferencesLink to record
Permanent link

Direct link
Discrete Integration and Derivation
1999 (English)Conference 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
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-82645OAI: diva2:498426
The 5:th International Conference on Clifford Algebras and their Applications in Mathematical Physics, Ixtapa-Zihuatanejo
NR 20140805Available from: 2012-02-12 Created: 2012-02-12Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Naeve, Ambjörn
Computer and Information Science

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 38 hits
ReferencesLink to record
Permanent link

Direct link