On the calculation of convolutions with Gaussian Kernels

Martin L. Bailon; David J. Horntrop

doi:10.1016/j.amc.2005.09.025

On the calculation of convolutions with Gaussian Kernels

Martin L. Bailon, David J. Horntrop

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

The calculation of convolutions with Gaussian kernels arises in many applications. The accuracy of a family of recently developed numerical integration rules is studied in this paper. In spite of the attractive implementation properties of the method, the poor convergence properties greatly restrict the situations in which the method should be used.

Original language	English (US)
Pages (from-to)	383-387
Number of pages	5
Journal	Applied Mathematics and Computation
Volume	176
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2005.09.025
State	Published - May 1 2006

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

Keywords

Convolutions
Numerical integration methods
Quadrature methods

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10.1016/j.amc.2005.09.025

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title = "On the calculation of convolutions with Gaussian Kernels",

abstract = "The calculation of convolutions with Gaussian kernels arises in many applications. The accuracy of a family of recently developed numerical integration rules is studied in this paper. In spite of the attractive implementation properties of the method, the poor convergence properties greatly restrict the situations in which the method should be used.",

keywords = "Convolutions, Numerical integration methods, Quadrature methods",

author = "Bailon, {Martin L.} and Horntrop, {David J.}",

note = "Funding Information: The research of MLB was partly supported by an REU supplement to NSF-DMS-0219211. The research of DJH was partly supported by NSF-DMS-0219211, NSF-DMS-0406633, and an NJIT SBR grant.",

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AU - Horntrop, David J.

N1 - Funding Information: The research of MLB was partly supported by an REU supplement to NSF-DMS-0219211. The research of DJH was partly supported by NSF-DMS-0219211, NSF-DMS-0406633, and an NJIT SBR grant.

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Y1 - 2006/5/1

N2 - The calculation of convolutions with Gaussian kernels arises in many applications. The accuracy of a family of recently developed numerical integration rules is studied in this paper. In spite of the attractive implementation properties of the method, the poor convergence properties greatly restrict the situations in which the method should be used.

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KW - Convolutions

KW - Numerical integration methods

KW - Quadrature methods

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JO - Applied Mathematics and Computation

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ER -

On the calculation of convolutions with Gaussian Kernels

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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