Multivalue mixed collocation methods

Multivalue mixed collocation methods

This paper is devoted to the construction of multivalue mixed collocation methods suitable for ordinary differential systems whose solution is known in advance to be oscillatory. Theoretical results concerning the construction and the accuracy of these methods are gained, together with selected nume...

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Veröffentlicht in:Applied mathematics and computation 2021-11, Vol.409, p.126346, Article 126346
Hauptverfasser: Conte, Dajana, D’Ambrosio, Raffaele, D’Arienzo, Maria Pia, Paternoster, Beatrice
Format: Artikel
Sprache:eng
Schlagworte:
Mixed collocation
Multivalue
Numerical methods
Oscillatory problems
Stiff problems
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Zusammenfassung:This paper is devoted to the construction of multivalue mixed collocation methods suitable for ordinary differential systems whose solution is known in advance to be oscillatory. Theoretical results concerning the construction and the accuracy of these methods are gained, together with selected numerical experiments.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2021.126346