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. © 2011 Springer Science+Business Media B.V.
Advances on collocation based numerical methods for ordinary differential equations and volterra integral equations
D'Ambrosio, Raffaele;
2011-01-01
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. © 2011 Springer Science+Business Media B.V.File in questo prodotto:
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