Utilize este identificador para referenciar este registo: http://hdl.handle.net/10198/4042
Título: Adaptive collocation methods for the solution of partial differential equations
Autor: Brito, Paulo
Portugal, António
Palavras-chave: Partial differential equation
Numerical methods
Adaptive methods
Collocation methods
Dyadic grids
Data: 2010
Editora: Springer
Citação: Brito, P.M.P.; Portugal, A. (2010) - Adaptive collocation methods for the solution of partial differential equations. In International Joint Conferences on Computer, Information, and Systems Sciences, and Engineering (CISSE). Bridgeport. p. 499-504. ISBN 978-90-481-9111-6
Resumo: An integration algorithm that conjugates a Method of Lines (MOL) strategy based on finite differences space discretizations, with a collocation strategy based on increasing level dyadic grids is presented. It reveals potential either as a grid generation procedure and a Partial Differential Equation(PDE) integration scheme. It copes satisfactorily with a example characterized by a steep travelling wave and a example that presented a forming steep shock, which demonstrates its versatility in dealing with different types of steep moving front problems, exhibiting features like advection-diffusion, widely common in the standard Chemical Processes simulation models.
Peer review: yes
URI: http://hdl.handle.net/10198/4042
DOI: 10.1007/978-90-481-9112-3_85
ISBN: 978-90-481-9111-6
Aparece nas colecções:CIMO - Publicações em Proceedings Indexadas à WoS/Scopus

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