Rational approximation in the complex plane using a \(\tau\)-method and computer algebra

DOI10.1023/A:1019143231331zbMath0911.65057OpenAlexW31338904MaRDI QIDQ1385151

Luc Rebillard

Publication date: 23 June 1998

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1019143231331

zbMATH Keywords

Cauchy problemnumerical examplessymbolic computationpolynomial coefficientsChebyshev seriesLanczos \(\tau\)-methodsystems of linear ordinary differential equations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Differentiation matrices for univariate polynomials ⋮ Expansion of multivariable polynomials in products of orthogonal polynomials in one variable

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