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

Mathematics Department

University of Oxford

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

39 Scopus citations

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	American English
Pages (from-to)	C554-C573
Journal	SIAM Journal on Scientific Computing
Volume	37
Issue number	5
DOIs	https://doi.org/10.1137/141001007
State	Published - 2015

Keywords

Chebfun
Fourier series
barycentric formula
trigonometric interpolation

EGS Disciplines

Mathematics

Access to Document

10.1137/141001007

Extension of Chebfun to Periodic FunctionsFinal published version, 884 KBLicense: Unspecified

Cite this

@article{264d1cf67902402f94ae55f2f6130d55,

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 = "Chebfun, Fourier series, barycentric formula, 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",

doi = "10.1137/141001007",

language = "American English",

volume = "37",

pages = "C554--C573",

number = "5",

}

TY - JOUR

T1 - Extension of Chebfun to Periodic Functions

AU - Wright, Grady B.

AU - Javed, Mohsin

AU - Montanelli, Hadrien

AU - Trefethen, Lloyd N.

PY - 2015

Y1 - 2015

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 - Chebfun

KW - Fourier series

KW - barycentric formula

KW - trigonometric interpolation

UR - https://scholarworks.boisestate.edu/math_facpubs/162

U2 - 10.1137/141001007

DO - 10.1137/141001007

M3 - Article

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

Abstract

Keywords

EGS Disciplines

Access to Document

Other files and links

Fingerprint

Cite this