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https://hdl.handle.net/10316/4652
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. | URI: | https://hdl.handle.net/10316/4652 | DOI: | 10.1016/S0168-9274(99)00148-8 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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