NDLI: Verified computed Peano constants and applications in numerical quadrature

Content Provider	Springer Nature Link
Author	Chen, Chin Yun
Copyright Year	2007
Abstract	Peano kernels are critical for the error estimates of numerical approximation of linear functionals. In the literature, considerable efforts have been devoted to the numerical computation or estimation of Peano constants, however, their discussions have mainly focused on the Peano kernels of some specific higher orders related to the degrees of the underlying error functionals. Limiting to such higher orders either requires certain smoothness of the approximated functions, which is not always fulfilled, or is not always the optimal choice for error estimates, even if the approximated functions are sufficiently smooth. Practical considerations in computing Peano constants for the full range of orders are given in this paper. Numerical examples are also given to demonstrate that much better error bounds can be derived while Peano constants of lower orders are considered.
Starting Page	297
Ending Page	312
Page Count	16
File Format	PDF
ISSN	00063835
Journal	BIT Numerical Mathematics
Volume Number	47
Issue Number	2
e-ISSN	15729125
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2007-05-03
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Peano kernel bounded linear operator quadrature error Peano constant interval computation Mathematics Numeric Computing Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computer Networks and Communications Computational Mathematics Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Verified computed Peano constants and applications in numerical quadrature

Error Bounds for Exponential Operator Splittings

On Roots and Error Constants of Optimal Stability Polynomials

Convolution Quadrature Revisited

Adaptive Quadrature—Revisited

Numerical Quadrature Computation of the Macdonald Function for Complex Orders

Computation of Bessel and Airy Functions and of Related Gaussian Quadrature Formulae

Matrices, moments and quadrature II; How to compute the norm of the error in iterative methods

The error norm of Gauss-Radau quadrature formulae for Chebyshev weight functions

Verified computed Peano constants and applications in numerical quadrature

Similar Documents

Verified computed Peano constants and applications in numerical quadrature

Error Bounds for Exponential Operator Splittings

On Roots and Error Constants of Optimal Stability Polynomials

Convolution Quadrature Revisited

Adaptive Quadrature—Revisited

Numerical Quadrature Computation of the Macdonald Function for Complex Orders

Computation of Bessel and Airy Functions and of Related Gaussian Quadrature Formulae

Matrices, moments and quadrature II; How to compute the norm of the error in iterative methods

The error norm of Gauss-Radau quadrature formulae for Chebyshev weight functions

Verified computed Peano constants and applications in numerical quadrature