Skip to main content
Journal ArticleOPEN ACCESS

Principles of verified numerical integration

Journal of Computational and Applied Mathematics (2007) 199(2) 317-328
DOI: 10.1016/j.cam.2005.07.040
8Citations
Citations of this article
5Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

We describe methods for the numerical calculation of integrals with verified error bounds. The problems range from integration over an interval to integration of parameter-dependent integrands over the whole d-variate space. It is argued, why we use bounds for the integrands in the complex plane as a tool for bounding the error in our own integration software. © 2006 Elsevier B.V. All rights reserved.

Cite

CITATION STYLE

APA

Petras, K. (2007). Principles of verified numerical integration. Journal of Computational and Applied Mathematics, 199(2), 317–328. https://doi.org/10.1016/j.cam.2005.07.040

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free