Advances on Collocation Based Numerical Methods for Ordinary Differential Equations and Volterra Integral Equations

Dajana Conte (), Raffaele D’Ambrosio () and Beatrice Paternoster ()
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Dajana Conte: Università di Salerno, Dipartimento di Matematica e Informatica
Raffaele D’Ambrosio: Università di Salerno, Dipartimento di Matematica e Informatica
Beatrice Paternoster: Università di Salerno, Dipartimento di Matematica e Informatica

Chapter Chapter 3 in Recent Advances in Computational and Applied Mathematics, 2011, pp 41-66 from Springer

Abstract: Abstract We present a survey on collocation based methods for the numerical integration of Ordinary Differential Equations (ODEs) and Volterra Integral Equations (VIEs), starting from the classical collocation methods, to arrive to the most important modifications appeared in the literature, also considering the multistep case and the usage of basis of functions other than polynomials.

Keywords: Collocation; Two-step collocation; Runge–Kutta methods; Two-step Runge–Kutta methods; Mixed collocation; 65L05; 65L60; 65R20 (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-90-481-9981-5_3

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DOI: 10.1007/978-90-481-9981-5_3

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