Extension of chebfun to periodic functions

Grady B. Wright; Mohsin Javed; Hadrien Montanelli; Lloyd N. Trefethen

doi:10.1137/141001007

Extension of chebfun to periodic functions

Grady B. Wright
, Mohsin Javed
, Hadrien Montanelli
, Lloyd N. Trefethen

Boise State University
University of Oxford

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Algorithms and underlying mathematics are presented for numerical computation with periodic functions via approximations to machine precision by trigonometric polynomials, including the solution of linear and nonlinear periodic ordinary differential equations. Differences from the nonperiodic Chebyshev case are highlighted.

langue originale	Anglais
Pages (de - à)	C554-C573
journal	SIAM Journal on Scientific Computing
Volume	37
Numéro de publication	5
Les DOIs	https://doi.org/10.1137/141001007
état	Publié - 1 janv. 2015
Modification externe	Oui

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10.1137/141001007

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@article{f5927d99806947d58d782287192771f8,

title = "Extension of chebfun to periodic functions",

abstract = "Algorithms and underlying mathematics are presented for numerical computation with periodic functions via approximations to machine precision by trigonometric polynomials, including the solution of linear and nonlinear periodic ordinary differential equations. Differences from the nonperiodic Chebyshev case are highlighted.",

keywords = "Barycentric formula, Chebfun, Fourier series, Trigonometric interpolation",

author = "Wright, \{Grady B.\} and Mohsin Javed and Hadrien Montanelli and Trefethen, \{Lloyd N.\}",

note = "Publisher Copyright: {\textcopyright} 2015 Society for Industrial and Applied Mathematics.",

year = "2015",

month = jan,

day = "1",

doi = "10.1137/141001007",

language = "English",

volume = "37",

pages = "C554--C573",

journal = "SIAM Journal on Scientific Computing",

issn = "1064-8275",

number = "5",

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T1 - Extension of chebfun to periodic functions

AU - Wright, Grady B.

AU - Javed, Mohsin

AU - Montanelli, Hadrien

AU - Trefethen, Lloyd N.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Algorithms and underlying mathematics are presented for numerical computation with periodic functions via approximations to machine precision by trigonometric polynomials, including the solution of linear and nonlinear periodic ordinary differential equations. Differences from the nonperiodic Chebyshev case are highlighted.

AB - Algorithms and underlying mathematics are presented for numerical computation with periodic functions via approximations to machine precision by trigonometric polynomials, including the solution of linear and nonlinear periodic ordinary differential equations. Differences from the nonperiodic Chebyshev case are highlighted.

KW - Barycentric formula

KW - Chebfun

KW - Fourier series

KW - Trigonometric interpolation

UR - https://www.scopus.com/pages/publications/84945909161

U2 - 10.1137/141001007

DO - 10.1137/141001007

M3 - Article

AN - SCOPUS:84945909161

SN - 1064-8275

VL - 37

SP - C554-C573

JO - SIAM Journal on Scientific Computing

JF - SIAM Journal on Scientific Computing

IS - 5

ER -

Extension of chebfun to periodic functions

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