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Title: Error propagation in the numerical integration of solitary waves. The regularized long wave equation
Authors: Araújo, A. 
Durán, A. 
Keywords: Hamiltonian structure; Solitary waves; Relative equilibria; Conservative methods; Symmetry groups
Issue Date: 2001
Citation: Applied Numerical Mathematics. 36:2-3 (2001) 197-217
Abstract: We study the error propagation of time integrators of solitary wave solutions for the regularized long wave equation, , by using a geometric interpretation of these waves as relative equilibria. We show that the error growth is linear for schemes that preserve invariant quantities of the problem and quadratic for [`]nonconservative' methods. Numerical experiments are presented.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Internacionais

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