Quantitative towers in finite difference calculus approximating the continuum

Lawrence, R, Ranade, N, Sullivan, D (June 2021) Quantitative towers in finite difference calculus approximating the continuum. Quarterly Journal of Mathematics, 72 (1-2). pp. 515-545. ISSN 0033-5606

URL: https://academic.oup.com/qjmath/article-abstract/7...
DOI: 10.1093/qmath/haaa060


<jats:title>Abstract</jats:title> <jats:p>Multivector fields and differential forms at the continuum level have respectively two commutative associative products, a third composition product between them and various operators like $\partial$, d and ‘*’ which are used to describe many nonlinear problems. The point of this paper is to construct consistent direct and inverse systems of finite dimensional approximations to these structures and to calculate combinatorially how these finite dimensional models differ from their continuum idealizations. In a Euclidean background, there is an explicit answer which is natural statistically.</jats:p>

Item Type: Paper
CSHL Authors:
Communities: CSHL labs > Krasnitz lab
SWORD Depositor: CSHL Elements
Depositing User: CSHL Elements
Date: 12 June 2021
Date Deposited: 12 Jul 2021 19:20
Last Modified: 12 Jul 2021 19:20
URI: https://repository.cshl.edu/id/eprint/40273

Actions (login required)

Administrator's edit/view item Administrator's edit/view item
CSHL HomeAbout CSHLResearchEducationNews & FeaturesCampus & Public EventsCareersGiving