A method for global approximation of the initial value problem

DOI10.1023/A:1011866317159zbMath0984.65067OpenAlexW2160128870MaRDI QIDQ5948211

Anna Napoli, Francesco Aldo Costabile

Publication date: 31 October 2001

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

Full work available at URL: https://doi.org/10.1023/a:1011866317159

zbMATH Keywords

collocation methodNewton's methodnumerical examplesinitial value problemsPicard iterationChebyshev seriesCurtis-Clenshaw quadratureglobal method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (5)

Summation-by-parts in time ⋮ The SBP-SAT technique for initial value problems ⋮ (Spectral) Chebyshev collocation methods for solving differential equations ⋮ A class of collocation methods for numerical integration of initial value problems ⋮ Stability of Chebyshev collocation methods

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