Stable Spectral Collocation Solutions to Cauchy Problems for Nonlinear Dispersive Wave Equations
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GHEORGHIU, Calin-Ioan. Stable Spectral Collocation Solutions to Cauchy Problems for Nonlinear Dispersive Wave Equations. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 277-280. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

Stable Spectral Collocation Solutions to Cauchy Problems for Nonlinear Dispersive Wave Equations

Pag. 277-280

Gheorghiu Calin-Ioan
 
"Tiberiu Popoviciu" Institute of Numerical Analysis Romanian Academy, Cluj-Napoca
 
 
Disponibil în IBN: 5 octombrie 2017


Rezumat

In this paper we are concerned with accurate and stable spectral collocation solutions to initial-boundary value problems attached to some challenging nonlinear wave equations defined on unbounded domains. We argue that spectral collocation based on Hermite and sinc functions actually provide such solutions avoiding the empirical domain truncation or any shooting techniques.

Cuvinte-cheie
Hermite, sinc, wave equation, shock like solution,

collocation,

nonlinear