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

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

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.

Original language	English
Pages (from-to)	C554-C573
Journal	SIAM Journal on Scientific Computing
Volume	37
Issue number	5
DOIs	https://doi.org/10.1137/141001007
Publication status	Published - 1 Jan 2015
Externally published	Yes

Keywords

Barycentric formula
Chebfun
Fourier series
Trigonometric interpolation

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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",

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journal = "SIAM Journal on Scientific Computing",

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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

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

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ER -

Extension of chebfun to periodic functions

Abstract

Keywords

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