On the nature of initial-boundary value solutions for dispersive equations

AMS Citation:
Fornberg, B., and N. Flyer, 2004: On the nature of initial-boundary value solutions for dispersive equations. Siam Journal on Applied Mathematics, 64, 546-564, doi:10.1137/S0036139902415853.
Date:2004-01-01
Resource Type:article
Title:On the nature of initial-boundary value solutions for dispersive equations
Abstract: If the initial and boundary data for a partial differential equation (PDE) do not obey an infinite set of compatibility conditions, singularities will arise in its solutions. For dissipative equations, these singularities are well localized in both time and space, and an effective numerical remedy is available for accurate computation of initial transients. This study analyzes the nature of similar corner discrepancies for dispersive equations, such as ut-uxxx= 0 and iut-uxxx= 0.
Peer Review:Refereed
Copyright Information:Copyright 2003 Society for Industrial and Applied Mathematics Read More: http://epubs.siam.org/doi/abs/10.1137/S0036139902415853
OpenSky citable URL: ark:/85065/d7r49sc6
Publisher's Version: 10.1137/S0036139902415853
Author(s):
  • Bengt Fornberg
  • Natasha Flyer - NCAR/UCAR
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