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Conference Papers Year : 2009

Chebyshev Expansions for Solutions of Linear Differential Equations

Alexandre Benoit
  • Function : Author
  • PersonId : 861241
Bruno Salvy

Abstract

A Chebyshev expansion is a series in the basis of Chebyshev polynomials of the first kind. When such a series solves a linear differential equation, its coefficients satisfy a linear recurrence equation. We interpret this equation as the numerator of a fraction of linear recurrence operators. This interpretation lets us give a simple view of previous algorithms, analyze their complexity, and design a faster one for large orders.
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Dates and versions

inria-00395716 , version 1 (16-06-2009)

Identifiers

  • HAL Id : inria-00395716 , version 1
  • ARXIV : 0906.2888

Cite

Alexandre Benoit, Bruno Salvy. Chebyshev Expansions for Solutions of Linear Differential Equations. ISSAC'09, Jul 2009, Seoul, South Korea. ⟨inria-00395716⟩

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