We present some modified collocation based numerical methods for the numerical integration of Ordinary Differential Equations (ODEs) and Volterra Integral Equations (VIEs). The treatise is framed into the existing literature on classical collocation methods and shows how this idea can evolve into a multistep setting, also in case of basis of functions other than polynomials.
Modified collocation techniques for evolutionary problems
CARDONE, Angelamaria;CONTE, Dajana;D'AMBROSIO, RAFFAELE;PATERNOSTER, Beatrice
2016-01-01
Abstract
We present some modified collocation based numerical methods for the numerical integration of Ordinary Differential Equations (ODEs) and Volterra Integral Equations (VIEs). The treatise is framed into the existing literature on classical collocation methods and shows how this idea can evolve into a multistep setting, also in case of basis of functions other than polynomials.File in questo prodotto:
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