On numerical stability of randomized projection functional algorithms

T. E. Bulgakova; A. V. Voytishek

doi:10.1080/03610918.2019.1677914

On numerical stability of randomized projection functional algorithms

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

Abstract

In this paper, the application of randomized projection functional algorithms for numerical approximation of solutions of Fredholm equations of the second kind is discussed. Special attention is paid to the problems of numerical stability of the used orthonormal functional bases. The numerical instability of the randomized projection functional algorithm is noticed for the simple test one-dimensional equation and for the Hermite orthonormal basis.

Original language	English
Journal	Communications in Statistics: Simulation and Computation
DOIs	https://doi.org/10.1080/03610918.2019.1677914
Publication status	Published - 15 Oct 2019

Keywords

Integral Fredholm equations of the second kind
Lebesgue constant
Numerical approximation
Numerical stability of the used orthonormal bases
Randomized projection and mesh functional algorithms

Access to Document

10.1080/03610918.2019.1677914

Link to publication in Scopus

Fingerprint Dive into the research topics of 'On numerical stability of randomized projection functional algorithms'. Together they form a unique fingerprint.

Cite this

@article{e609f54d1af246e28816baa1c118ad57,

title = "On numerical stability of randomized projection functional algorithms",

abstract = "In this paper, the application of randomized projection functional algorithms for numerical approximation of solutions of Fredholm equations of the second kind is discussed. Special attention is paid to the problems of numerical stability of the used orthonormal functional bases. The numerical instability of the randomized projection functional algorithm is noticed for the simple test one-dimensional equation and for the Hermite orthonormal basis.",

keywords = "Integral Fredholm equations of the second kind, Lebesgue constant, Numerical approximation, Numerical stability of the used orthonormal bases, Randomized projection and mesh functional algorithms",

author = "Bulgakova, {T. E.} and Voytishek, {A. V.}",

year = "2019",

month = oct,

day = "15",

doi = "10.1080/03610918.2019.1677914",

language = "English",

journal = "Communications in Statistics Part B: Simulation and Computation",

issn = "0361-0918",

publisher = "Taylor and Francis Ltd.",

}

TY - JOUR

T1 - On numerical stability of randomized projection functional algorithms

AU - Bulgakova, T. E.

AU - Voytishek, A. V.

PY - 2019/10/15

Y1 - 2019/10/15

N2 - In this paper, the application of randomized projection functional algorithms for numerical approximation of solutions of Fredholm equations of the second kind is discussed. Special attention is paid to the problems of numerical stability of the used orthonormal functional bases. The numerical instability of the randomized projection functional algorithm is noticed for the simple test one-dimensional equation and for the Hermite orthonormal basis.

AB - In this paper, the application of randomized projection functional algorithms for numerical approximation of solutions of Fredholm equations of the second kind is discussed. Special attention is paid to the problems of numerical stability of the used orthonormal functional bases. The numerical instability of the randomized projection functional algorithm is noticed for the simple test one-dimensional equation and for the Hermite orthonormal basis.

KW - Integral Fredholm equations of the second kind

KW - Lebesgue constant

KW - Numerical approximation

KW - Numerical stability of the used orthonormal bases

KW - Randomized projection and mesh functional algorithms

UR - http://www.scopus.com/inward/record.url?scp=85074329621&partnerID=8YFLogxK

U2 - 10.1080/03610918.2019.1677914

DO - 10.1080/03610918.2019.1677914

M3 - Article

AN - SCOPUS:85074329621

JO - Communications in Statistics Part B: Simulation and Computation

JF - Communications in Statistics Part B: Simulation and Computation

SN - 0361-0918

ER -